Wavefront Reconstruction for Fractional Lateral Shear Measurements using Weighted Integer Shear Averages Article Swipe
Heshmat, Samia
,
Tomioka Satoshi
,
Miyamoto Naoki
,
Yamauchi Yuji
,
Matsumoto Yutaka
,
Higashi Naoki
·
YOU?
·
· 2025
· Open Access
·
YOU?
·
· 2025
· Open Access
·
Wavefront reconstruction in lateral shearing interferometry typically assumes that the shear amount is an integer multiple of the sampling interval. When the shear is fractional, approximating it with the nearest integer value leads to noticeable reconstruction errors. To address this, we propose a weighted integer shear averaging method. The approach combines reconstructions from nearby integer shears with carefully chosen weights designed to cancel the dominant error terms. Analytical error analysis shows that two-shear averaging removes first-order errors, while three-shear averaging removes second-order errors. Numerical simulations with a test wavefront confirm that the method achieves significantly lower RMS error than conventional single-shear reconstruction. The technique is simple, computationally efficient, and can be readily extended to two-dimensional interferometry. This makes weighted integer shear averaging a practical and accurate tool for wavefront reconstruction when fractional shear is unavoidable.
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- Type
- article
- Landing Page
- http://arxiv.org/abs/2511.21072
- https://arxiv.org/pdf/2511.21072
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7106862874
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https://openalex.org/W7106862874Canonical identifier for this work in OpenAlex
- Title
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Wavefront Reconstruction for Fractional Lateral Shear Measurements using Weighted Integer Shear AveragesWork title
- Type
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articleOpenAlex work type
- Publication year
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2025Year of publication
- Publication date
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2025-11-26Full publication date if available
- Authors
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Heshmat, Samia, Tomioka Satoshi, Miyamoto Naoki, Yamauchi Yuji, Matsumoto Yutaka, Higashi NaokiList of authors in order
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https://arxiv.org/abs/2511.21072Publisher landing page
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https://arxiv.org/pdf/2511.21072Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2511.21072Direct OA link when available
- Concepts
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Wavefront, Shearing (physics), Integer (computer science), Mathematics, Algorithm, Shear (geology), Interferometry, Shearing interferometer, Mathematical analysis, Observational error, Geometry, Integer programming, Sampling (signal processing), Shear stressTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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