Work

Multi-Spectral QPAT with Frequency Averaged Measurements

Year: 2026

Type: preprint

Abstract: We study some inverse problems in a frequency-averaged model for quantitative photoacoustic tomography, in which the optical parameters are modeled by a finite number of spectral functions and spatial coefficients, and the measurements are given by internal observables averaged over a spectral bandwidth. Using multiple measurements generated by suitable complex geometrical optics solutions, we establish uniqueness and Lipschitz-type stability for the associated linearized inverse problem for diffusion and absorption recovery. This linearized stability further yields local Hölder-type stability for the nonlinear inverse problem via an abstract linear-to-nonlinear argument.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.12232

Authors: Sun, Yunhao, Yang, Yang, Yang, Yunan

Institutions: Cornell University, Michigan State University

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Office of Naval Research

Awards: CAREER: Synergistic Inverse Wave Analysis and Computation, Metric-Dependent Strategies for Inverse Problem Analysis and Computation, ATD: An Edge-Based PDE Paradigm and Inverse Analysis for Spatiotemporal Information Diffusion and Threat Detection, G8416400238, G8876996369, G948203765

OpenAlex ID: W7212631718

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