用多种介质的强度数据实现波场相位唯一恢复
Phase retrieval via media diversity
- 通过多类线性/非线性介质产生强度数据
- 无需边界条件即可唯一还原相位
- 适用于无先验信息的相位成像场景
本研究针对波场相位重建问题，旨在从不同线性与非线性介质后方的多平面强度测量中恢复入射波的相位。研究表明，利用多种介质产生的强度数据可实现相位的唯一恢复。该方法无需在入射面设定相位边界条件，突破了基于强度传输方程的现有方法限制。此外，唯一性证明直接导出显式的相位重构算法。数值模拟验证了理论的有效性。
原文摘要 · Abstract (English)
This work studies phase retrieval for wave fields, aiming to recover the phase of an incoming wave from multi-plane intensity measurements behind different types of linear and nonlinear media. We show that unique phase retrieval can be achieved by utilizing intensity data produced by multiple media. This uniqueness does not require prescribed boundary conditions for the phase in the incidence plane, in contrast to existing phase retrieval methods based on the transport of intensity equation. Moreover, the uniqueness proofs lead to explicit phase reconstruction algorithms. Numerical simulations are presented to validate the theory.
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