Table 1 Parameters of NaYF4/NaLuF4: 20% Yb3+, 2% Er3+ NPs-PMMA covalent-linking nanocomposite waveguide amplifier.

From: High-gain polymer optical waveguide amplifiers based on core-shell NaYF4/NaLuF4: Yb3+, Er3+ NPs-PMMA covalent-linking nanocomposites

Total Er3+ concentration

NEr = 2.8 × 1026 m−3

Total Yb3+ concentration

NYb = 10 NEr

Er3+ absorption cross-section

σ12 = 9.5 × 10−24 m2

Er3+ emission cross-section

σ21 = 2.7 × 10−24 m2

Er3+ absorption cross-section

σ13 = 2.36 × 10−25 m2

Yb3+ absorption cross-section

σYb56 = 1.0 × 10−23 m2

Yb3+ emission cross-section

σYb65 = 1.0 × 10−23 m2

Er3+ emission lifetime on level 4I13/2

τ21 = 12 ms

Er3+ non-radiation lifetime on level 4I11/2

τ32 = 0.38 ms

Yb3+ emission lifetime on level 2F5/2

τYb65 = 1.86 ms

Er3+ upconversion coefficient

Cup = 4.1 × 10−23 m3s−1

Er3+ cross-relaxation coefficient

CCr = 3.4 × 10−22 m3s−1

Overlapping factor of the signal

Γs = 0.848

Overlapping factor of the pump

Γp = 0.87

Signal power

Ps = 0.1 mW

Pump power

Pp = 400 mW

Waveguide length

L = 1.3 cm