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Physics-Guided Neural Surrogate Model with Particle Swarm-Based Multi-Objective Optimization for Quasi-Coaxial TSV

Zheng Liu1, Guangbao Shan1, Zeyu Chen1

  • 1Faculty of Integrated Circuit, Xidian University, Xi'an 710071, China.

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|October 29, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel physics-constrained surrogate model for accurate electromagnetic modeling in radio frequency (RF) microsystems. The model ensures physical constraints like causality and passivity, improving high-frequency signal integrity.

Keywords:
causalityneural networkparticle swarm optimizationpassivityquasi-coaxial through-silicon-via (TSV)

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Area of Science:

  • Electrical Engineering and Computer Science
  • Electromagnetics and Computational Electromagnetics
  • Microsystems and RF Engineering

Background:

  • Accurate electromagnetic (EM) modeling is crucial for high-frequency signal integrity in reconfigurable radio frequency (RF) microsystems.
  • Conventional neural network surrogate models often neglect physical constraints like causality and passivity, limiting their real-world applicability.
  • Existing methods struggle to balance numerical accuracy with essential physical principles for reliable RF microsystem performance prediction.

Purpose of the Study:

  • To develop a physics-constrained Neuro-Transfer surrogate model for accurate S-parameter prediction in RF microsystems.
  • To enforce causality and passivity constraints within the surrogate model using dedicated regularization terms.
  • To optimize the performance of a quasi-coaxial TSV composite structure using a particle swarm optimization (PSO) framework.

Main Methods:

  • A Neuro-Transfer surrogate model with a broadband output architecture was proposed to predict S-parameters from 1-50 GHz.
  • Causality and passivity were enforced via regularization terms during the model's training phase.
  • A multi-objective PSO framework, incorporating fixed-weight normalization and a linearly decreasing inertia weight, optimized S11, S21, and S22 parameters.

Main Results:

  • The physics-constrained model achieved direct S-parameter prediction over the 1-50 GHz bandwidth.
  • Optimized structural parameters for the TSV composite structure met target values for S11 (-25 dB), S21 (-0.54 dB), and S22 (-24 dB).
  • Prediction-to-simulation deviations were below 1 dB, with an average prediction error of 2.11% on the test set.

Conclusions:

  • The proposed physics-constrained Neuro-Transfer surrogate model effectively predicts S-parameters while adhering to critical physical constraints.
  • The PSO-based optimization framework successfully improved the performance of the quasi-coaxial TSV composite structure.
  • This approach enhances the accuracy and reliability of EM modeling for RF microsystem design and development.