Electrical Modeling and Performance Analysis of Through Silicon Vias
Summary
Through silicon vias (TSVs) enable vertical electrical interconnection in three-dimensional integrated circuits by forming conductive pathways through the silicon substrate. Electrical modelling of TSVs encompasses the development of equivalent circuit representations to capture the frequency-dependent resistance, inductance, capacitance and conductance (RLGC) of the via and its immediate surroundings. A robust model allows designers to predict signal attenuation, phase shift, power loss and electromagnetic coupling between adjacent vias, which are critical for high-speed and high-frequency applications such as millimetre-wave radar, 5G front-end modules and wafer-level stacked memory. Performance analysis evaluates insertion loss and return loss via S-parameter measurement, as well as noise coupling, crosstalk and power integrity under different operating conditions. Key considerations include the impact of substrate resistivity, thermal-mechanical stress, dielectric layer properties and via geometry on signal integrity and reliability. Recent advances integrate finite-element and transmission line methods with data-driven techniques, such as neural networks and optimisation algorithms, to refine design parameters for minimised loss, reduced noise and enhanced mechanical stability. The global trend towards heterogeneous integration and higher data-rate systems places growing emphasis on accurate TSV modelling and comprehensive performance analysis to ensure functional robustness and manufacturability.
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Electrical Modeling and Performance Analysis of Through Silicon Vias publication trend
The graph below shows the total number of articles in electrical modeling and performance analysis of through silicon vias across all publications each year (not limited to Nature Index journals).
Technical terms
Through Silicon Via (TSV): A vertical interconnect passing through a silicon wafer to enable three-dimensional stacking of integrated circuits.
RLGC Model: An equivalent circuit representation comprising resistance (R), inductance (L), capacitance (C) and conductance (G) to characterise frequency-dependent behaviour of interconnects.
S-Parameters: Scattering parameters that quantify signal transmission (insertion loss) and reflection (return loss) in high-frequency networks.
Crosstalk: Unwanted coupling of signals between adjacent conductive paths, leading to interference and signal integrity degradation.
Thermal-Stress Coupling: Interrelation between temperature changes and mechanical stress in materials, affecting both electrical performance and structural reliability.
References
- Partial Coaxial Through-Silicon via for Suppressing the Substrate Noise in 3-Dimensional Integrated Circuit. IEEE Access (2019).
- A RF Redundant TSV Interconnection for High Resistance Si Interposer. Micromachines (2021).
- Thermal-Stress Coupling Optimization for Coaxial through Silicon Via. Symmetry (2023).
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