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Main Authors: Castagna, Riccardo, Singh, Gautam, Riminesi, Cristiano, Di Donato, Andrea, Todorov, Rossen
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.13188
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author Castagna, Riccardo
Singh, Gautam
Riminesi, Cristiano
Di Donato, Andrea
Todorov, Rossen
author_facet Castagna, Riccardo
Singh, Gautam
Riminesi, Cristiano
Di Donato, Andrea
Todorov, Rossen
contents Refraction, traditionally viewed as a geometric event occurring at material interfaces, is now being re-examined through the lens of coherence. Recent studies in optics and photonics, including coherence tomography, Moire interference, and coherence-engineered diffraction, indicate that phase organization alone can bend light even without index discontinuities. Fraunhofer-based analyses further show that angular deflection can arise from intrinsic phase curvature within homogeneous media. Here we introduce a coherence-based constitutive framework that systematizes these observations: refraction can occur inside a bulk medium when coherence itself provides the effective boundary. Two near-frequency structured beams write and probe a shared phase field, revealing reproducible angular rotation and coherence-lensing whose direction and magnitude follow the spectral detuning. The key detuning coefficient is: Krc = 2 * pi * (1/lambda_r - 1/lambda_w). The compact coherence-refraction relation n2 * sin(theta_t) - n1 * sin(theta_i) = Krc_parallel / k0, with k0 = 2 * pi / lambda_r, retains the form of Snell's law while extending it to coherence-driven regimes. This is not a new law but a quantitative rule linking tangential phase matching to observable deflection within homogeneous media.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13188
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From Diffraction to Refraction: a coherence-based conceptual framework
Castagna, Riccardo
Singh, Gautam
Riminesi, Cristiano
Di Donato, Andrea
Todorov, Rossen
Optics
Refraction, traditionally viewed as a geometric event occurring at material interfaces, is now being re-examined through the lens of coherence. Recent studies in optics and photonics, including coherence tomography, Moire interference, and coherence-engineered diffraction, indicate that phase organization alone can bend light even without index discontinuities. Fraunhofer-based analyses further show that angular deflection can arise from intrinsic phase curvature within homogeneous media. Here we introduce a coherence-based constitutive framework that systematizes these observations: refraction can occur inside a bulk medium when coherence itself provides the effective boundary. Two near-frequency structured beams write and probe a shared phase field, revealing reproducible angular rotation and coherence-lensing whose direction and magnitude follow the spectral detuning. The key detuning coefficient is: Krc = 2 * pi * (1/lambda_r - 1/lambda_w). The compact coherence-refraction relation n2 * sin(theta_t) - n1 * sin(theta_i) = Krc_parallel / k0, with k0 = 2 * pi / lambda_r, retains the form of Snell's law while extending it to coherence-driven regimes. This is not a new law but a quantitative rule linking tangential phase matching to observable deflection within homogeneous media.
title From Diffraction to Refraction: a coherence-based conceptual framework
topic Optics
url https://arxiv.org/abs/2512.13188