iPINN for Broadband CARS Phase Retrieval: A Framework for Function Approximation and Inverse Modeling Problems in Nonlinear Spectroscopy

📅 2026-09-01
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🤖 AI Summary
研究使用iPINN方法解决宽带CARS中的相位恢复问题,通过可微分物理模型从原始光谱预测洛伦兹峰参数,实现对不同测量条件的鲁棒性。
📝 Abstract
Phase retrieval in broadband coherent anti-Stokes Raman spectroscopy (BCARS) is an ill-posed inverse problem. The Raman-like signal is encoded in the imaginary part of the resonant susceptibility, which mixes coherently with a non-resonant background (NRB) that varies across acquisitions. We introduce an inverse physics-informed neural network (iPINN) that predicts Lorentzian peak parameters from raw BCARS spectra and reconstructs the resonant susceptibility through a differentiable analytical forward model. A transformer encoder assigns spectral features to 24 learnable peak slots, and a multi-view consistency loss enforces invariance across NRB pattern, NRB strength, and noise. Unlike direct spectral regression approaches, the method retains accuracy under varying acquisition conditions. On a public benchmark, iPINN achieves the lowest error among the tested baselines (MAE 0.016 vs. next-best 0.046). On 28 zero-shot test spectra acquired across seven solvents and four focal positions, accuracy is depth-invariant in five of seven solvents. These results show that inverse parametric prediction with a differentiable physical decoder supports robust phase retrieval across measurement conditions.
Problem

Research questions and friction points this paper is trying to address.

phase retrieval
broadband coherent anti-Stokes Raman spectroscopy
inverse problem
resonant susceptibility
non-resonant background
Innovation

Methods, ideas, or system contributions that make the work stand out.

inverse physics-informed neural network
broadband coherent anti-Stokes Raman spectroscopy
differentiable forward model
multi-view consistency loss
phase retrieval
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