Dual-wavelength Fourier Ptychographic Topography

Fuente: arXiv
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Autori principali: Shen, Yi, Li, Tongyu, Wang, Hao, Kim, Jinyong, Lee, Hojun, Kim, Wookrae, Park, Jonghyeok, Shin, Junho, Park, Seungbeam, Tian, Lei
Natura: Preprint
Pubblicazione: 2025
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author Shen, Yi
Li, Tongyu
Wang, Hao
Kim, Jinyong
Lee, Hojun
Kim, Wookrae
Park, Jonghyeok
Shin, Junho
Park, Seungbeam
Tian, Lei
author_facet Shen, Yi
Li, Tongyu
Wang, Hao
Kim, Jinyong
Lee, Hojun
Kim, Wookrae
Park, Jonghyeok
Shin, Junho
Park, Seungbeam
Tian, Lei
contents We introduce a dual-wavelength Fourier ptychographic topography (FPT) method that extends the lambda/2 height-range limit of single-wavelength FPT. By reconstructing complex fields at two illumination wavelengths and exploiting their phase difference, the method achieves an effective synthetic wavelength lambda_s and an unambiguous range of lambda_s/2 without reducing lateral resolution. A noise-robust wrapped-number search is used to select per-pixel integer pairs (k1, k2), and a global refinement with circular TV regularization and soft bounds improves stability and preserves height discontinuities. The approach is validated through rigorous scattering-model-based simulations and experiments on structured silicon samples, demonstrating accurate height recovery in regimes where single-wavelength FPT exhibits phase wrapping. We analyze the limits of the FPT forward model and identify aspect ratio (AR) and phase modulation transfer function (ph-MTF) as key predictors of reconstruction fidelity. Simulations and experiments show that increasing AR beyond a practical threshold causes loss of high-frequency phase transfer and destabilizes dual-wavelength unwrapping. Within this AR range, dual-wavelength FPT provides robust, high-resolution topography suitable for semiconductor and industrial metrology.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08883
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dual-wavelength Fourier Ptychographic Topography
Shen, Yi
Li, Tongyu
Wang, Hao
Kim, Jinyong
Lee, Hojun
Kim, Wookrae
Park, Jonghyeok
Shin, Junho
Park, Seungbeam
Tian, Lei
Optics
We introduce a dual-wavelength Fourier ptychographic topography (FPT) method that extends the lambda/2 height-range limit of single-wavelength FPT. By reconstructing complex fields at two illumination wavelengths and exploiting their phase difference, the method achieves an effective synthetic wavelength lambda_s and an unambiguous range of lambda_s/2 without reducing lateral resolution. A noise-robust wrapped-number search is used to select per-pixel integer pairs (k1, k2), and a global refinement with circular TV regularization and soft bounds improves stability and preserves height discontinuities. The approach is validated through rigorous scattering-model-based simulations and experiments on structured silicon samples, demonstrating accurate height recovery in regimes where single-wavelength FPT exhibits phase wrapping. We analyze the limits of the FPT forward model and identify aspect ratio (AR) and phase modulation transfer function (ph-MTF) as key predictors of reconstruction fidelity. Simulations and experiments show that increasing AR beyond a practical threshold causes loss of high-frequency phase transfer and destabilizes dual-wavelength unwrapping. Within this AR range, dual-wavelength FPT provides robust, high-resolution topography suitable for semiconductor and industrial metrology.
title Dual-wavelength Fourier Ptychographic Topography
topic Optics
url https://arxiv.org/abs/2512.08883