تقرير
A Light-Ray Approach to Fractional Fourier Optics
| العنوان: | A Light-Ray Approach to Fractional Fourier Optics |
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| المؤلفون: | Fogret, Éric, Pellat-Finet, Pierre |
| سنة النشر: | 2023 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Optics |
| الوصف: | A light ray in space is characterized by two vectors: (i) a transverse spatial-vector associated with the point where the ray intersects a given spherical cap; (ii) an angular-frequency vector which defines the ray direction of propagation. Given a light ray propagating from a spherical emitter to a spherical receiver, a linear equation is established that links its representative vectors on the emitter and on the receiver. The link is expressed by means of a matrix which is not homogeneous, since it involves both spatial and angular variables (having distinct physical dimensions). Indeed, the matrix becomes a homogeneous rotation-matrix after scaling the previous variables with appropriate dimensional coefficients. When applied to diffraction, in the framework of a scalar theory, the scaling operation results directly in introducing fractional-order Fourier transformations as mathematical expressions of Fresnel diffraction phenomena. Linking angular-frequency vectors and spatial frequencies results in an interpretation of the notion of a spherical angular-spectrum. Accordance of both inhomogeneous and homogeneous ray-matrices with Huygens-Fresnel principle is examined. The proposed ray-matrix representation of diffraction is also applied to coherent imaging through a lens. Comment: 27 pages, 12 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.03500 |
| رقم الأكسشن: | edsarx.2304.03500 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |