Abstract
While optical fiber Bragg gratings (FBGs) have been exploited in the field of sensing, their potential for investigating quantum processes of photon-molecule interactions remains unexplored. Here, we experimentally demonstrated a method of probing photon-induced non-radiative thermal relaxation in fluorophores using the FBG technique. In response to various excitation wavelengths of photons, the FBG with fluorescent dye, Rhodamine B, present on its cladding, exhibits distinct Bragg wavelength shifts, reflecting the level of vibronic transitions and the absorption characteristics of the fluorophore based on non-radiative thermal release. The photoexcitation intensity-dependent response demonstrates that the FBG technique can probe localized photothermal relaxation at the micron-scale with LED intensity below 5 mW cm−2. Moreover, the modulation of the observed split in the Bragg wavelength spectrum provides further insights into photothermal localization in addition to yielding photothermal information. This approach of realizing photon-molecule interaction makes fiber Bragg grating-based quantum phenomena sensing accessible and can be extended for spectroscopy, biosensing, and quantum applications.

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Introduction
The discovery of photosensitivity in optical fibers led to the emergence of fiber Bragg grating (FBG) technology, characterized by a periodic modulation of the refractive index inscribed within the core of the optical fiber. These act as wavelength-selective grating planes, reflecting a specific narrow band of wavelengths, with the peak reflection known as the Bragg wavelength (λB), determined by the parameters defined in Eq. 11.
where Λ denotes the grating pitch, and neff represents the effective refractive index of the FBG resulting from the indices of refraction of grating, core, and cladding. While early research primarily focused on the fabrication process of FBG, subsequent research shifted attention to its diverse applications, leading to successful commercial implementation in the telecommunication industry, structural health monitoring, and the medical field1,2,3,4. In the recent decade, scientists have exploited FBGs for studying photon-matter interactions in nanomaterials, including carbon nanotubes (CNTs), chalcogenides, and two-dimensional materials5,6,7,8,9,10,11,12. Here, photo-induced strain or photothermal effect in nanomaterials is probed by the change in the reflected Bragg wavelength as described by the following expression1.
The first term in Eq. 2 denotes the variation in the effective refractive index and the grating pitch due to photoinduced temperature changes, while the second term represents alterations in these parameters due to photoinduced strain. Despite these studies on FBG-based photon-matter interaction, which have focused on detecting transient changes in material properties owing to photon absorption, there has not been any report on probing photon-induced non-radiative thermal relaxation process, especially in fluorescent molecules using the FBG technique.
Photoluminescence or molecular fluorescence is the optical emission from molecules excited to higher energy levels by absorbing appropriate photon energy. The emitted photons have a higher wavelength, resulting in lesser photon energy than absorbed photons due to non-radiative transitions, such as vibrational relaxations in the excited levels, during which the absorbed photon energy is released as heat13. Experimental determination of non-radiative photothermal dissipation is important for molecular characterization, for developing fluorophores with optimal photothermal conversion, which can benefit the medical field, facilitating simultaneous photothermal therapy and imaging, and for improving biosensing applications.
Conventional photothermal measurement methods, including thermometers and infrared (IR) cameras, are restricted to assessing macroscopic temperatures with low temporal and spatial resolution. Consequently, the thermal information recorded by these techniques may be significantly lower than the actual localized heat generated during photon-molecule interactions14. While thermometers are mainly applicable to liquid samples, thermal IR cameras are prone to ambient atmospheric temperature, thermal emissivity of the sample surface, and the measured distance from the sample, which lowers their accuracy15,16. Moreover, thermometers, thermocouples, and thermistors or RTDs are susceptible to self-heating due to the absorption of incident photons, making them unsuitable for accurately measuring photothermal effects16,17,18,19.
Advancements in nano-thermometry have introduced innovative techniques for measuring temperature at the nanoscale, offering alternatives to traditional thermometry methods20,21,22. Nano-thermometry methods, such as scanning thermal microscopy (SThM)/ atomic force microscopy (AFM) using a microthermocouple probe or a cantilever probe integrated with microscopy imaging23,24,25,26,27, deliver exceptional thermal and spatial resolution but are limited to surface temperature measurements of the sample. Additionally, these techniques require complex experimental setups and intricate data analysis, often necessitating scanning microscopy, which restricts the range of samples that can be examined20. Also, for photothermal studies, careful design consideration is required for sample placement to shield the probe tip from direct light exposure, which otherwise can falsify the temperature readings25,26.
Thermal mapping techniques, such as interferometry-based optical microscopy28,29 and Raman spectroscopy30,31,32, can provide internal thermal information from a sample. However, Interferometry relies on uniform illumination (Köhler illumination) along with additional optics for even excitation at the sample surface, and a wavefront analyzer, making the retrieval of photothermal information more complex. Raman spectroscopy, while capable of extracting photothermal information across diverse samples, needs the sample to exhibit thermally sensitive Raman-active phonon modes and requires a high-resolution spectrometer and/or strong excitation power to capture the weak Raman signal. Additionally, this technique encounters challenges when applied to fluorescent samples, as their high emission intensity can overshadow the weak Raman peaks20.
So far, the techniques mentioned above have predominantly been used for photothermal detection in plasmonic nanostructures, utilizing near-infrared or infrared light as the excitation source, with very few attempts made to probe the non-radiative heat generated in fluorescent molecules when exposed to visible photons27.
Over the past few decades, several popular non-destructive and highly sensitive thermo-optical techniques have been proposed for photothermal study of various samples, including fluorescent materials18,33,34,35,36,37,38,39. Key techniques include thermal lens spectroscopy or microscopy, photothermal deflection and displacement spectroscopy, photoacoustic spectroscopy, and photothermal interferometry. While thermal lens and photothermal deflection/displacement spectrometry rely on probe beam deflection due to changes in the medium’s refractive index, the effectiveness of these techniques is influenced by factors such as high-intensity, stabilized laser radiation, the medium’s thermo-optic coefficient, and the probe beam wavelength. These techniques require complex mathematical modeling for retrieving thermal information and are sensitive to the geometrical parameters of the optical setup, necessitating careful calibration. Photoacoustic spectroscopy measures pressure wave changes from non-radiative thermal expansion, but is affected by stray signal interference. Photothermal interferometry detects phase changes in the probe beam due to refractive index modulation, offering high sensitivity but necessitating complex Michelson or Mach-Zehnder interferometry setups that are sensitive to environmental factors and need precise adjustments34.
To address these limitations, this work presents an approach to capturing the non-radiative thermal relaxation of photon-molecule interactions, particularly in fluorophores, using a highly sensitive FBG technique, where the measurements are wavelength-encoded. Although various spectrally encoded thermometry techniques, such as those utilizing lanthanide-based or up-conversion nanoparticles (UCNPs)40,41 and nanodiamonds (NV centers)42,43 have been reported for high-resolution thermal mapping, these techniques fundamentally differ from the Bragg wavelength spectral encoding approach for photothermal information discussed in this work. The merits of FBG-based photothermometry lie in its simple experimental setup, immunity to external electromagnetic interference, absence of photon-induced self-heating with visible excitation, chemical inertness, and flexibility in choosing the excitation wavelength. Here, we demonstrate that Bragg wavelength shifts recorded from FBG during photoexcitation of a common fluorescent molecule, Rhodamine B (RhB), can give insight into the molecular vibronic transition levels as well as its absorption characteristics based on the non-radiative thermal release during photon-molecule interaction. The excitation photon intensity-dependent Bragg wavelength response demonstrates the high linearity of the sensor, enabling photothermal characterization at a low excitation intensity of a few mW cm−2. Further, we demonstrate a method of capturing the photothermal information and thermal localization based on Bragg spectral split modulation originating from non-uniform illumination of the fluorescent sample. Further, a comparison between FBG and the conventional IR camera shows highly sensitive detection of localized non-radiative photothermal relaxation at the micron-scale with the proposed approach.
Results and discussion
Experimental setup
The schematic, as well as the actual experimental setup used for demonstrating non-radiative photothermal detection in fluorophores with FBG, are shown in Fig. 1a and b, respectively. The setup comprises an inverted fluorescence microscope (Olympus IX83) containing a broadband LED light source with various wavelength filters to photoexcite the fluorescent dye-coated FBG externally at specific optical narrow-band wavelengths while capturing the fluorescence phenomena with the equipped camera, and an FBG interrogator for measuring the Bragg wavelength shift resulting from the interaction between the excitation photons and the fluorophores. The RhB-coated FBG sensor affixed to a glass substrate was kept on the movable stage of the inverted fluorescence microscope, and its position was adjusted by XY piezo controller such that the region encompassing the FBG was exposed to the light beam from the microscope perpendicular to the fiber axis. A continuous beam of white light from the LED source, after being filtered through the excitation wavelength filter and reflected from the dichroic mirror, transversely illuminated the RhB-FBG sensor through the microscope objective lens. The emitted fluorescence beam passing through the same objective lens and dichroic beam splitter was filtered by the emission filter and detected by a highly sensitive camera (ORCA-Flash 4.0 V3 sCMOS camera). Concurrently, a broadband light (1510–1590 nm) was launched into the core of the RhB-coated FBG, and the change in the Bragg wavelength arising from photon-molecule interaction was measured with an optical FBG interrogator connected to one end of the fiber.
a Experimental layout and b real-time experimental setup for demonstrating non-radiative photothermal detection in fluorophores with FBG. Shown is an epi-illumination inverted fluorescence microscope with a glass slide containing RhB-FBG on top and an optical FBG interrogator connected to RhB-FBG on the side.
Preparation of Rhodamine B-coated FBG and characterization study
Optical fiber Bragg grating was fabricated on a photosensitive germania-doped silica single-mode fiber (SMF, 4.2/125 μm) having a 4.2 μm diameter core with a refractive index of 1.47, and a 125 μm diameter cladding with a refractive index of 1.44. Phase mask technique was used to inscribe a 3 mm grating inside the fiber core, which provides a central Bragg wavelength of around 1560 nm. Rhodamine B was coated on the grating region of FBG on top of its cladding by following previously reported coating procedures44,45 with slight modification (refer to methods section), which involves suitable functionalization of the fiber surface followed by a simple drop-casting technique as portrayed in Fig. 2a.
a Schematic representation of the process for developing RhB-coated FBG sensor. b Scanning electron microscopy image showing the surface morphology of RhB on FBG, c Raman spectra representing characteristic vibrational modes of RhB and silica FBG, d 3D projection of RhB adsorbed on FBG imaged with atomic force microscopy displaying the thickness of the coating and e energy-dispersive X-ray spectra showing elemental composition of RhB-coated FBG.
The morphology, chemical composition, and thickness of the Rhodamine B coating on FBG were investigated using various characterization techniques. The Scanning Electron Microscopy (SEM) image (Fig. 2b) shows the intact coating of rhodamine molecules around the cylindrical FBG surface. Inset is the enlarged SEM view showing the morphology of RhB particles in the form of pellet-like shapes, and these are observed to form clusters over the fiber surface. The Raman spectrum obtained from the RhB-coated FBG surface at 633 nm excitation wavelength is shown in the Supplementary Fig. 1. The spectrum (Fig. 2c) resulting from background subtraction due to fluorescence depicts typical Raman peaks of silica fiber at 440, 486, and 800 cm−146 and for Rhodamine B at characteristic wavenumbers dominated by xanthene ring vibration (622 cm−1), C–H in-plane bend vibration (1200 cm−1), C–C bridge band stretch vibration (1281 cm−1), and aromatic stretch vibrations (1359, 1534, and 1650 cm−1)47,48. The Atomic Force Microscopy (AFM) image (Fig. 2d) clearly shows the thickness of the rhodamine coating around 650 nm. Finally, the Energy-Dispersive X-ray Spectroscopy (EDX) spectroscopy result (Fig. 2e) shows the elemental composition of the coating material. The reflection and transmission spectra of FBG taken before and after RhB coating (Supplementary Fig. 2) indicate no significant changes in the spectrum following the RhB coating.
Detection of non-radiative photothermal relaxation with FBG
Theoretical background
Fluorescent organic dye Rhodamine B, known for its excellent quantum efficiency49, broad wavelength absorption39, and strong thermal-50 and photo-stability51, is composed of a three-ring xanthene chromophore, primarily responsible for photon energy absorption and emission52, and a benzene ring with a carboxyl group oriented perpendicular to the plane of the xanthene. The UV-visible absorption and fluorescence spectra of RhB dye dissolved in water (Fig. 3a) exhibit excitation and emission bands with peaks at 554 nm and 584 nm, respectively, where the characteristic absorption peaks are attributed to π-π* electronic transitions between bonding and antibonding molecular orbitals53. Figure 3b illustrates the typical electronic transitions in rhodamine molecules that govern absorption and emission spectra. The primary absorption band in the visible region (450–600 nm), known as the Q-band, is assigned to the S0-S1 transition, while the Soret band in the near-UV region (350–400 nm) is attributed to the S0-S2 transition53,54. These electronic transitions are often coupled with vibrations of different frequencies represented as dashed lines in Fig. 3b.
a UV-visible and Photoluminescence spectroscopy results of RhB dissolved in water. Inset: Rhodamine B molecular structure having conjugated double bonds. The absorption and emission spectra overlap with mirror symmetry corresponding to the S0-S1 transition. b Jablonski diagram depicting the absorption and emission transitions occurring in RhB, along with the energy levels associated with initial vibronic transitions and emission. The solid and dashed horizontal lines represent the electronic and vibrational excited levels, respectively. The initial excitation and non-radiative relaxation processes corresponding to various excitation wavelengths are depicted by solid and dashed vertical lines, respectively. IC internal conversion, VR vibrational relaxation, NRD non-radiative de-excitation. The colored arrows represent the wavelength of the excitation and emission photons. c Temperature calibration curve of FBG sensor before and after RhB coating. d Bragg wavelength shift of bare FBG and RhB-coated FBG with respect to various excitation filters (DAPI, FITC, TRITC, and mCherry) at constant irradiance of 142 mW cm−2 (Inset: Corresponding mean Bragg wavelength shifts of RhB-coated FBG and bare FBG). e Thermal images of RhB-coated FBG during its photoexcitation with various excitation filters, indicating the maximum temperature observed. f Fluorescence microscope images of RhB-coated FBG sensor with respect to various source excitation filters (DAPI, FITC, TRITC, and mCherry).
Principle
Photoexcitation of RhB molecules deposited on FBG with energies corresponding to its absorption band causes electrons to transit from ground state S0 to various vibrational levels of excited singlet states (S1 and S2) (Fig. 3b). After rapid relaxation to a thermally equilibrated excited state by releasing excess absorbed photon energy non-radiatively as heat through internal conversion (induced by molecular vibrations) and vibrational relaxation, electrons return to the ground state, radiatively releasing the remaining absorbed energy as longer-wavelength photons13,55. However, due to the aggregation of rhodamine molecules or the formation of dimers in the thin-film coating56,57, there is also a high probability of non-radiative energy transfer58,59 (a de-excitation pathway60) induced by coupling to the lattice vibrations or phonons59,60,61. These photo-excitations, accompanied by electron redistribution and vibronic transitions in rhodamine molecules62, followed by non-radiative thermal dissipation of absorbed photon energy13,61, can impact the FBG grating parameters such as the effective refractive index and the grating periodicity, consequently leading to a shift in the Bragg wavelength as represented by the following expression (Eq. 3)9.
Equation 3 describes the photon-induced non-radiative thermal relaxation of fluorophores and their effects on the effective refractive index and grating periodicity of the FBG. The relative change in Bragg wavelength can be represented as follows.
where,\(\,\alpha =\,(1/\varLambda )\left(\frac{\partial \varLambda }{\partial T}\right)\) is the thermal-expansion coefficient and\(\,\eta =\,(1/{n}_{{\mbox{eff}}})\left(\frac{\partial {n}_{{\mbox{eff}}}}{\partial T}\right)\) is the thermo-optic coefficient of silica FBG, having approximate values of \(0.55\times {10}^{-6}\) and \(8.6\times {10}^{-6}\) respectively1. Since the thermal-expansion coefficient is significantly lower than the thermo-optic coefficient of FBG, Eq. 4 can be further simplified to the following expression, where the relative change in the effective refractive index of the FBG induced by the non-radiative photothermal dissipation of fluorophores results in a shift in the Bragg wavelength.
Temperature calibration
To measure the photothermal relaxation in fluorescent materials, we calibrated the FBG using an infrared camera to establish a relationship between the shift in Bragg wavelength and temperature change. The same FBG before and after coating with RhB was placed on a hotplate, where the temperature was gradually increased from 25 °C to 75 °C in increments of 5 °C. Simultaneously, the temperature and the Bragg wavelength were recorded using the IR camera and the FBG interrogator, respectively. A corresponding increase in the Bragg wavelength with temperature was observed (Supplementary Fig. 3). The calibration curve (Fig. 3c) displays a linear relationship between the Bragg wavelength shift and temperature change, with a sensitivity of 11.7 pm °C−1 for bare FBG and 11.5 pm °C−1 for RhB-coated FBG. The slight variation in sensitivity could be due to the direct transfer of heat through the cladding to the core for bare FBG, while in the case of the RhB-coated FBG, heat diffusion happens through the material-coated cladding into the core. This demonstrates the potential of FBGs as effective optical thermometers, exhibiting a thermal sensitivity of 11.7 pm °C−1. To analyze the noise characteristics of the FBG sensor, it was securely mounted on a glass slide and positioned in a stable environment at room temperature. The sensor’s response was recorded over a period of approximately 30 min. The inset of Supplementary Fig. 4a presents the time trace of the FBG response. The Allan deviation (Supplementary Fig. 4a) calculated from this time trace indicates a minimum detectable temperature of 3.4 m°C and a sensor noise of 0.017 °C Hz−1/2 (Supplementary Fig. 4b).
Excitation photon-wavelength-dependent response
Since RhB has a broad absorption spectrum, we measured the response of the RhB film to excitation with various wavelength filter configurations covering the absorption spectrum of RhB while maintaining constant excitation intensity for all filters. Figure 3d shows the measured Bragg wavelength shifts after exciting both RhB-coated FBG and bare FBG with DAPI, FITC, TRITC, and mCherry filters having central wavelengths at 365 nm, 475 nm, 546 nm, and 570 nm, respectively (Supplementary Fig. 5a), keeping the illumination intensity constant at 142 mW cm−2 for all the wavelengths.
When the bare FBG was excited with different wavelengths (Fig. 3d), there was hardly any observed Bragg wavelength shift, except for a shift of approximately 3 pm corresponding to 365 nm excitation. This shift was attributed to the absorption of UV photons by the germania-doped silica fiber core, resulting in changes to the effective refractive index of FBG63. It can be observed from Fig. 3d that the RhB-coated FBG sensor experienced a Bragg wavelength shift corresponding to the wavelength or energy of the photons used for excitation. The shorter the wavelength or the higher the energy of the incident photons on the RhB-coated FBG, the more significant the shift in Bragg wavelength. This could be due to the higher level of vibronic transitions caused by excitation with high-energy photons, which leads to more non-radiative dissipation of absorbed energy, resulting in increased localized non-radiative thermal effect on FBG. Whereas the radiative emission begins primarily from the thermally equilibrated state, irrespective of the wavelength or energy of the excitation photons. This is apparent from the fluorescence spectra of RhB-coated FBG (Supplementary Fig. 5b), which displays an emission peak at 593 nm regardless of the excitation filter used. The sensor displayed the highest Bragg wavelength shift of approximately 175 pm in the case of excitation with DAPI filter (365 nm), whereas the Bragg wavelength shifts observed with respect to FITC (475 nm), TRITC (546 nm), and mCherry (570 nm) filter excitation were approximately 82 pm, 75 pm, and 72 pm, respectively. The significant difference in Bragg wavelength shift observed with the DAPI filter compared to other filters can be attributed to the high energy of 365 nm wavelength excitation photons (3.39 eV), causing electronic transitions to the vibrational level (S2)54 much higher than the equilibrated excited state (Fig. 3b). This results in more non-radiative dissipation of absorbed photon energy. In contrast, excitations at 475 nm (2.61 eV), 546 nm (2.27 eV), and 570 nm (2.18 eV) are primarily associated with S0-S1 electronic transitions53,54. The energy values associated with these vibronic transitions at different excitation wavelengths, along with the extent of non-radiative transitions and the energy associated with the radiative emission process, are illustrated in Fig. 3b. Therefore, the Bragg wavelength shift could be indicative of the extent of vibrational transitions or non-radiative energy dissipation involved in the fluorescence process. In this study, the self-heating of the FBG caused by the absorption of probe infrared light (150–200 μW) is considered negligible, as confirmed by the Bragg wavelength data recorded over a 30-min period by the interrogator (Supplementary Fig. 6).
The thermal data of RhB-coated FBG (Fig. 3e, Supplementary Fig. 7a) recorded using the thermal IR camera (FLIR E95) during its photo-excitation with all the wavelengths indicate a decreasing trend in the temperature rise of the coated fluorophores in relation to the excitation photon energy. This trend aligns with the results obtained from the calibrated FBG, as shown in Supplementary Fig. 7b. Conversely, no temperature rise has been observed in the case of bare FBG when excited with different wavelength photons (Supplementary Fig. 7c, d). The corresponding fluorescence microscope images captured with all the filters for both RhB-coated FBG and bare FBG are shown in Fig. 3f, Supplementary Fig. 7e, respectively. The fluorescence characteristics of rhodamine, which emits around 593 nm (Supplementary Fig. 5b), are visible with all the filters, each displaying a pseudo-colored fluorescence image based on the emission barrier spectrum of the specific filter. Conversely, no fluorescence was observed when excited with any of the filters for the bare FBG (Supplementary Fig. 7e).
We have further verified the FBG technique for investigating the photoresponse of RhB in solution form. Instead of coating the FBG, 10–15 μL of RhB dye solution (dissolved in DI water) at concentrations of 1700 μM, 380 μM, and 130 μM was dropped on the FBG, which was mounted on a glass slide and positioned on the microscope stage. Corresponding Bragg wavelength shifts recorded while exposing the solution to various excitation wavelengths using DAPI, FITC, TRITC, and mCherry filters, all at a constant irradiance of 142 mW cm−², are shown in Fig. 4. Similar to that of RhB film, it was found that at a higher concentration of RhB solution (1700 μM), the Bragg wavelength shift was influenced by the wavelength or energy of the excitation photons (Fig. 4a, b). The maximum Bragg wavelength shift of 50 pm was observed when excited with 365 nm photons, whereas for excitation at 475 nm, 546 nm, and 570 nm, the Bragg wavelength shifts were nearly the same, around 27 pm, 26.5 pm, and 26.7 pm, respectively. Conversely, as the concentration of the RhB solution decreased to 380 μM and 130 μM, the Bragg wavelength shift began to align more closely with the absorption characteristics of RhB (Fig. 4c, d). To understand the observed phenomena, we analyzed the UV-visible absorption characteristics of RhB at various concentrations, as illustrated in Supplementary Fig. 8. As previously reported39, with an increase in concentration, the primary absorption band broadens, and the intensity of the secondary absorption band in the near UV wavelength region gradually increases; there is little difference in the absorption characteristics concerning wavelength when the concentration reaches around 4000 μM, as stated before64. This could be due to the reduced likelihood of photons escaping as the concentration of the solution rises. Hence, considering equivalent absorbance irrespective of the excitation wavelengths used, the Bragg wavelength shifts observed at a concentration of 1700 µM likely reflect the extent of vibronic transitions occurring in photoexcited RhB molecules. The significant Bragg wavelength shift observed at 365 nm may be attributed to vibronic transitions to a higher excited electronic state (S2)54, leading to more non-radiative photothermal dissipation when the molecules return to the ground state. Whereas, for the excitation wavelengths 475 nm, 546 nm, and 570 nm, the electronic transitions occur to the first excited state (S1)53,54, resulting in less photothermal dissipation as the molecules revert to the ground state. Conversely, the Bragg wavelength shift aligning with the absorption characteristics of RhB solution at 130 μM and 380 μM concentrations can be attributed to the increased likelihood of photon escape, resulting in more pronounced shifts at wavelengths with higher absorption probabilities (hence enhanced non-radiative photothermal dissipation), such as at 546 nm excitation wavelength. Despite the lower absorption probability observed at both 365 nm and 475 nm excitation wavelengths (Supplementary Fig. 8), the higher Bragg wavelength shift noted at 365 nm excitation (Fig. 4c), which progressively approaches the shift associated with the primary absorption peak at 546 nm as the concentration increases to 380 µM, may be attributed to a higher electronic level of transition associated with 365 nm excitation compared to excitation at the primary absorption band (spanning 475 nm, 546 nm, and 570 nm), leading to more non-radiative dissipation of absorbed photon energy.
a Bragg wavelength shifts measured for 1700 μM RhB solution with respect to various excitation filters (DAPI, FITC, TRITC, and mCherry) at constant irradiance of 142 mW cm−2. b Corresponding mean Bragg wavelength shifts (The error bar represents the maximum deviation from the mean Bragg peak). c Bragg wavelength shifts measured for 380 μM & 130 μM RhB solution during photoexcitation with various excitation filters (DAPI, FITC, TRITC, and mCherry) at constant irradiance of 142 mW cm−2. d Corresponding mean Bragg wavelength shifts (The error bar represents the maximum deviation from the mean Bragg peak). The inset photographs in (b) and (d) show the photoexcitation of a RhB solution dropped on the FBG, which is positioned on a glass slide on top of the fluorescence microscope stage.
Thus, the results indicate that the FBG technique can provide insights into both the molecular absorption characteristics and the level of vibronic transitions occurring in fluorescent molecules through non-radiative photothermal relaxation as reflected in Bragg wavelength shifts. The absorption information holds true for low concentrations of the solution, while information about vibronic transitions can be obtained when the molecular absorbance is similar across the excitation wavelengths, as demonstrated by the Bragg wavelength shifts observed under 365 nm and 475 nm excitation, or in higher concentrations of RhB solution and RhB film. Such capabilities could open up new avenues for molecular spectroscopy utilizing fiber Bragg grating technology.
The thermal information obtained from the IR camera (FLIR E95) during the photoexcitation of a high concentration (1700 µM) and a low-concentration (100 µM) RhB solution is shown in Supplementary Fig. 9b and d, respectively. The thermal data correspond perfectly with the Bragg wavelength shifts observed at various excitation wavelengths for each concentration (Supplementary Fig. 9a, c), indicating the successful capture of photothermal information by the FBG. Additionally, the fluorescence spectra for both the low- and high-concentration RhB solutions are presented in Supplementary Fig. 10.
The Bragg wavelength spectra recorded from FBG during the photoexcitation of the RhB film and RhB solution at various wavelengths are presented in Fig. 5. For both the RhB film (Fig. 5c) and the high concentration (1700 μM) RhB solution (Fig. 5d), a noticeable evolution of the Bragg spectral split was observed as the excitation photon energy increased, with the RhB film exhibiting more intense spectral splitting. This could be due to the highly localized and enhanced thermal generation induced by high-energy photons striking the approximately 2.1 mm (spot diameter) grating region of the RhB-coated FBG, which subsequently transfers to the non-irradiated grating region, creating a temperature gradient and hence a refractive index gradient along the grating axis. As a result, the reflected Bragg wavelength under the irradiated grating region differs significantly from that under the non-irradiated grating region, leading to a pronounced split in the Bragg wavelength spectrum65. In contrast, for the RhB solution, while a prominent spectral split is observed with high-energy photon excitation (Bottom inset of Fig. 5d), the heat generated from the photon-molecule interaction on the grating region of the FBG becomes less localized due to thermal diffusion, resulting in a less intense split. The excitation wavelength-dependent spectral split gradually becomes less discernible with decreasing concentrations of the RhB solution (380 μM (Fig. 5e) and 130 μM (Fig. 5f)). Nonetheless, a slightly more intense split was observed for 546 nm excitation, followed by 570 nm excitation in both cases (Bottom inset of Fig. 5e, f), indicating greater thermal generation at these wavelengths due to enhanced photon absorption. No such progression in spectral splitting was evident for the bare FBG (Supplementary Fig. 11). This study presents an approach to capturing photothermal generation and its localization in fluorescent materials by monitoring the progression of the Bragg spectral split.
a Schematic representing localized photothermal generation during the interaction of photons with RhB molecules. b Bragg wavelength spectrum captured from FBG when photoexcitation is off. The dashed box highlights the section of the spectrum displayed in subsequent figures. c Bragg wavelength spectrum captured from FBG during photoexcitation of RhB film with various excitation filters (DAPI, FITC, TRITC, and mCherry) at constant irradiance of 142 mW cm−2. Bragg wavelength spectrum captured from FBG during photoexcitation of different concentrations of RhB solution: d 1700 μM, e 380 μM, and f 130 μM with various excitation filters (DAPI, FITC, TRITC, and mCherry) at constant irradiance of 142 mW cm−2.
Excitation photon-intensity-dependent response
Next, we captured the response of the RhB film to different optical excitation intensities from the LED source by measuring the corresponding change in the Bragg wavelength, shown in Fig. 6a, b. In this experiment, both RhB-coated FBG and bare FBG were exposed to various optical irradiances (75, 145, 215, 285, and 355 mW cm−2) from LED fluorescence microscope light source through 570 nm excitation filter (mCherry) and the corresponding excitation power incident on the grating region of FBG (spot diameter ~2.1 mm) was calculated to be approximately 0.62 mW, 1.19 mW, 1.77 mW, 2.35 mW, and 2.93 mW respectively. There was hardly any Bragg wavelength shift observed when the bare FBG was photoexcited with different intensities, where a maximum shift of ~1.2 pm was observed for an excitation irradiance of 355 mW cm−2. Conversely, the maximum Bragg wavelength shift of ~175 pm was observed with RhB-coated FBG at an excitation irradiance of 355 mW cm−2 (2.93 mW incident excitation power). Even at a low excitation irradiance of around 75 mW cm−2 (620 μW incident excitation power), there was a shift of approximately 37 pm in the Bragg wavelength. With the increase in excitation intensity or power, our experimental study demonstrated a corresponding increment in Bragg wavelength shift on account of the increased number of photon-molecule interactions, resulting in more excited state transitions followed by non-radiative and radiative de-excitations66. The sensor exhibited a linear shift in Bragg wavelength with respect to the excitation intensity (Fig. 6b) or power (Inset of Fig. 6b), representing the high linearity of the sensor. The photoinduced Bragg wavelength sensitivity of the sensor calculated from the linearity graph is ~0.5 pm mW−1 cm−² (60 pm mW−1), which indicates the potential of the sensor in capturing non-radiative photothermal generation with an excitation intensity of about 2 mW cm−2 (~17 µW incident excitation power). This can be improved by etching the cladding or using a high-resolution FBG interrogator with sub-picometer resolution. The measured Bragg wavelength data from the bare FBG (Fig. 6a, b), which showed hardly any shift, confirm that no photon-induced thermal effect is involved from the source, even after exposure to an irradiance of 355 mW cm−2. The thermal data obtained from the non-contact IR camera (FLIR E95) based temperature measurement of RhB-coated FBG during photoexcitation at various intensities displays an increase in the localized temperature corresponding to rising excitation intensity (Supplementary Fig. 12a, c). Whereas no such temperature increase was observed with bare FBG (Supplementary Fig. 12b, d).
a Bragg wavelength shift of bare FBG and RhB-coated FBG with respect to various excitation intensities from 570 nm wavelength filter (mCherry). b Corresponding mean Bragg wavelength shifts with respect to different excitation intensities & incident excitation powers (Inset graph) representing linear characteristics (The error bar represents the maximum deviation from the mean Bragg peak). c Bragg wavelength shifts measured from FBG during photoexcitation of different concentrations of RhB solution with various excitation intensities from 570 nm wavelength filter. d Corresponding mean Bragg wavelength shifts with respect to different excitation intensities represent linear characteristics (The error bar represents the maximum deviation from the mean Bragg peak).
We further explored the response of the RhB solution to different photoexcitation intensities. Figure 6c, d illustrates the shift in Bragg wavelength observed when different concentrations of RhB solution were dropped on FBG and exposed to various optical irradiances using the 570 nm excitation filter. The Bragg wavelength increased with both the intensity of photoexcitation and the concentration of the RhB solution. This could be due to a higher concentration of molecules allows for more interactions with photons, reducing the chances of photons escaping. Conversely, at lower concentrations, more photons have the opportunity to escape, leading to reduced non-radiative thermal dissipation resulting from fewer photon-molecule interactions. While a linear increase in Bragg wavelength shift was evident concerning excitation intensity across all the concentrations (Fig. 6d), the photo-induced Bragg wavelength sensitivity was greater at higher concentrations: 0.2 pm mW−1 cm−² for 1700 μM, followed by 0.14 pm mW−1 cm−² for 380 μM, and 0.08 pm mW−1 cm−² for 130 μM. This can be attributed to the greater localized photothermal generation in the vicinity of the FBG cladding at high concentrations. In contrast, at lower concentrations, the photothermal effect becomes less localized due to faster thermal diffusion. This illustrates the sensor’s capability to detect photothermal generation at lower excitation intensities as the concentration or photothermal localization increases. This is evidenced by the required excitation intensities of 5 mW cm−² for 1700 μM solution, 7 mW cm−² for 380 μM solution, and 12.5 mW cm−² for 130 μM RhB solution using 570 nm wavelength filtered LED excitation. The thermal data (Supplementary Fig. 13) collected from the IR camera (FLIR E95) during the photoexcitation of RhB solutions at different concentrations on the FBG show an increase in localized temperature with higher excitation intensities across all concentrations. Further, the rise in localized temperature is more significant at higher concentrations.
The corresponding Bragg wavelength spectrum (Supplementary Fig. 14) recorded from the FBG during the photoexcitation of the RhB film and RhB solution at various irradiances reveals the evolution of spectral split in relation to increasing optical irradiance. This could be due to the rise in non-radiative photothermal generation, resulting from a greater number of photon-molecule interactions at higher excitation optical irradiance levels. In contrast, no progression in spectral split was observed with the bare FBG (Supplementary Fig. 14b). Notably, the Bragg spectral split is more pronounced for the RhB film (Supplementary Fig. 14c), diminishing as the concentrations of the RhB solution decrease (Supplementary Fig. 14d–f) due to increased thermal diffusion, which leads to less localized photothermal generation.
Moreover, the sensitivity of detecting the photon-induced non-radiative thermal relaxation of fluorescent dye RhB was compared between the FBG technique and the IR camera. Figure 7 shows a comparison of the temperature rise obtained from the calibrated FBG and that recorded by the IR camera during photoexcitation of RhB, both in solution and in thin film form, at different intensities through 570 nm filter. The temperature rise (ΔT) observed for 130 μM RhB solution with the FBG technique closely aligns with the results obtained from the IR camera (Fig. 7d). However, as the concentration increases, the sensitivity becomes higher for FBG than for the IR camera (Fig. 7c, b). When detecting the photothermal effect in the thin film, a significant discrepancy in ΔT was observed between the two techniques, with the FBG method demonstrating greater sensitivity (Fig. 7a). This can be due to faster thermal diffusion in the solution as the concentration decreases, which disperses heat from the hotspot toward the surroundings, allowing the IR camera to capture it effectively (as shown in Supplementary Fig. 15). In contrast, for the thin film, the relatively poor thermal conductivity of air compared to that of silica fiber causes the photon-induced heat generated on the surface of the FBG to mostly diffuse toward its core rather than dissipate into the surrounding air. Consequently, the limitation of the IR camera to only surface or macroscopic temperature measurement with low spatial resolution makes it unable to capture the actual local photothermal changes occurring at a micro scale on the surface of the 125 μm diameter FBG cladding (Supplementary Fig. 15a). Whereas the inherent micron size of the FBG makes it well-suited to capture the transient non-radiative localized thermal changes resulting from vibronic transitions in fluorophores. This capability can potentially unveil new opportunities for investigating localized photon-induced thermal generation using fiber Bragg grating technology. Additionally, we have evaluated the photoresponse of RhB-coated FBG over time for a period of more than a year (Supplementary Fig. 16), demonstrating the durability of the photothermal sensing approach over the long term.
a Temperature changes observed with the FBG sensor and the IR camera during photoexcitation of RhB film at various intensities through 570 nm wavelength filter (mCherry). Temperature changes observed with the FBG sensor and the IR camera during photoexcitation of different concentrations of RhB solution: b 1700 μM, c 380 μM, and d 130 μM at various intensities through the mCherry filter.
Conclusion
In summary, we have demonstrated a method of probing photon-induced non-radiative thermal relaxation in fluorophores, using the FBG sensor. The study was carried out using a common fluorescent organic dye, Rhodamine B, where RhB, either coated on FBG in the form of a film or dropped on the FBG in the form of a solution, was exposed to the desired excitation wavelength through the excitation filter of the fluorescence microscope equipped with a broadband LED light source. The fluorescence phenomenon was observed with the microscope, while the photon-induced thermal effect was simultaneously captured with the FBG. In the case of the RhB film and high concentration RhB solution, the Bragg wavelength shift was observed to be dependent on the energy of the excitation photons, reflecting the extent of vibronic transitions based on non-radiative photothermal dissipation in response to the wavelength of excitation. Whereas in the case of a low-concentration RhB solution, the Bragg wavelength shifts observed at different excitation wavelengths follow its absorption characteristics. Further, the FBG technique was able to provide insight into the vibronic transition level in low-concentration RhB solution, provided that it has equivalent molecular absorbance across photoexcited wavelengths, as evidenced by the Bragg wavelength shifts obtained at the low probability absorption region. The photoexcitation intensity-dependent response showed a linear shift in the Bragg wavelength in relation to the variation in incident excitation intensity, representing the high linearity of the sensor for the quantitative study of photothermal generation. The photons induced Bragg wavelength sensitivity, which was highest for the RhB film, followed by a higher concentration of RhB solution, gives an insight into the localization of the thermal effect generated from photon-molecule interaction. This demonstrates the potential of the FBG in capturing photothermal information in fluorescent molecules with an excitation intensity of less than 5 mW cm−2 from an LED source, owing to increased photothermal localization and the linear characteristic of the sensor. Furthermore, a comparison of the FBG technique with the IR camera highlights the advantages of the proposed approach over traditional thermometry methods in detecting micron-scale localized transient non-radiative thermal changes caused by photon-induced molecular vibronic transitions. Further, the Bragg wavelength spectrum captured from FBG during photoexcitation of RhB film and different concentrations of RhB solution at different wavelengths and intensities shows a distinct approach of probing photothermal generation and its extent of localization by means of modulation in the Bragg spectral split. This Bragg wavelength shift and Bragg spectral split modulation technique used to capture the photothermal relaxation of fluorophores offers a unique approach that can provide internal thermal information arising from photon-molecule interaction across a wide range of excitation wavelengths and excitation intensities, overcoming the limitations of current thermometry techniques, and hence can be applied in molecular spectroscopy and photon-biomolecular probing applications. Factors that may influence the thermal information captured by FBG, such as self-heating from the absorption of probe infrared light and thermal conduction along the optical fiber, require careful characterization to mitigate these effects. Further comprehensive studies are necessary to gain a deeper understanding of the photon-molecule interaction and its impact on grating parameters and the Bragg wavelength using different fluorescent materials and exciting them at various wavelengths, which could then potentially lead to the development of a novel spectroscopic technique.
Methods
Details of the equipment used
A standard IX83 Olympus inverted fluorescence microscope was used, which contains an epifluorescence illumination from a LED light source (CoolLED pE-300white) accompanied by different fluorescent filters for DAPI (narrow band UV excitation, with excitation filter BP360-370, dichroic beamsplitter DM410, barrier (emission) filter BA420-460), FITC (narrow band blue excitation, with excitation filter BP470-495, dichroic beamsplitter DM505, barrier (emission) filter BA510-550), TRITC (narrow band green excitation, with excitation filter BP540-550, dichroic beamsplitter DM570, barrier (emission) filter BA575-625), and Mcherry (with excitation filter BP565-585, dichroic beamsplitter DM595, barrier (emission) filter BA600-690). For all the experiments, the microscope objective was set at 20x (Olympus LUCPLFLN, 0.45 NA). The fluorescence microscope image was captured using ORCA-Flash 4.0 V3 sCMOS camera (82% QE). Bragg wavelength measurements were performed with a commercially available high-resolution optical FBG interrogator (LUNA, Hyperion si155). The optical intensity from the excitation source falling on the FBG sensor was measured using a standard Si photodiode power sensor (S120VC, THORLABS) and optical power meter (PM100D, THORLABS). By considering the area of the FBG exposed to photoexcitation as 2πrh, where r denotes the radius of the optical FBG (62.5 μm), and h represents the spot diameter (~2.1 mm), the corresponding optical power incident on the FBG was calculated.
Fabrication of RhB-coated FBG
Firstly, the organic impurities from the surface of the FBG were removed by dipping it in Piranha solution (H2SO4:H2O2 at 3:1 molar ratio) for 15 min, then rinsing it with DI water. The sensor was then treated with 0.2 N NaOH (aq.) solution at 40 °C for 3.5 h and next at room temperature (25 °C) for 30 min, followed by DI water wash to remove remnant NaOH (aq.) from the surface of the sensor. The NaOH treatment makes the surface of the fiber more hydrophilic by creating silanol (Si-OH) groups along with the formation of silanol salt groups (Si-ONa) on the fiber surface45. After this, the sensor was kept in HCl (aq.) solution (3% (vol.)) at room temperature for 10 min, followed by a DI water rinse. The hydrogen ions in hydrochloric acid replace the sodium ions and convert all silanol-salt groups on the surface of FBG into silanol groups, which subsequently become deprotonated under DI water treatment, making the fiber surface negatively charged45. Finally, the Rhodamine B dye solution (Rhodamine B dissolved in DI water) was drop-casted on functionalized FBG (placed in a grooved Teflon block), and the temperature was maintained at 60–70 °C until the solution was completely dried and adhered to the fiber surface.
Characterization
SEM and EDX
The scanning electron microscope (SEM) image and energy-dispersive X-ray (EDX) spectra of the Rhodamine B-coated FBG were acquired using the Zeiss EVO 18 electron microscope. To prepare the sample, a small portion of the RhB-coated FBG was precisely cut and placed on a stub with the help of carbon tape, which was then sputter-coated with gold to ensure optimal imaging.
Raman spectroscopy
The Raman spectra of RhB-FBG were acquired using Jobin Yvon Horiba (HR800) Raman spectrometer equipped with an Olympus BX41 microscope and a CCD detector. The Rhodamine B-coated FBG, affixed to a glass slide, was placed on the microscope stage. A 632 nm He-Ne laser was focused onto it through a 50x objective lens. The spectrum was recorded using a 1800 lines/mm grating, with an exposure time of 1 s and 10 accumulations. The acquired spectrum was then subjected to baseline correction and normalization [0,1] using OriginPro 2024, effectively eliminating background fluorescence.
AFM imaging
The AFM image was obtained from Bruker AFM (Dimension ICON with ScanAsyst). A small piece of Rhodamine B-coated FBG was attached to the stub with the help of a glue sticker, and the image was acquired by scanning the RhB-FBG in tapping mode using an RTESP-300 tip with a spring constant of 40 N/m. The topographic images were analyzed using Nanoscope Analysis software.
UV-Vis and fluorescence spectroscopy
The UV-visible absorption spectrum of Rhodamine B dye dissolved in water was measured by a Jasco V-570 UV/VIS/NIR Spectrophotometer, with the dye solution contained in a 1 cm quartz cell. The emission spectrum of the same solution was measured using a Jasco FP-6600 Spectrofluorometer at an excitation wavelength of 550 nm.
Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
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Acknowledgements
Dr. Shivananju B.N. acknowledges financial support from the Ministry of Human Resource and Development (Sanction No. 11/9/2019-U.3(A))—Center of Excellence in Biochemical Sensing and Imaging Technologies (CenBioSIm), Ministry of Education (Sanction Number: IOE Phase II projects)—Institute of Excellence in Healthcare and Assistive Technologies, Indian Institute of Technology Madras, Science and Engineering Research Board (SERB) (Sanction No. SRG/2022/001874, EEQ/2023/000993). The authors would like to thank Bio-Sophisticated Analytical Instrumentation Facility (BIO-SAIF), Indian Institute of Technology Madras, for assistance with IX83 fluorescence microscope, Common Instruments Facility (IC&SR), Indian Institute of Technology Madras, for assistance with AFM, SEM and EDX, Sophisticated Analytical Instrumentation Facility (SAIF), Indian Institute of Technology Madras, for assistance with UV-Vis and Fluorescence spectroscopy, and RAMAN PL Facility, Department of Physics, Indian Institute of Technology Madras, for Raman spectroscopy analysis.
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S.B.N. conceived the idea, supervised the experiments, and acquired the funding. S.R. and S.S.S.D.K. carried out the experiments. S.R. performed additional experiments and wrote the revised manuscript with input from S.B.N. All authors contributed to the preparation of the manuscript and approved the final version.
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Rath, S., Shiva Sreenivasa Dheerendra Koushik, S. & Bannur Nanjunda, S. Probing non-radiative quantum relaxation in fluorophores using an optical fiber Bragg grating photothermal sensor. Commun Chem 9, 78 (2026). https://doi.org/10.1038/s42004-025-01880-w
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DOI: https://doi.org/10.1038/s42004-025-01880-w









