Propagation of waves from an arbitrary shaped surface-A generalization of the Fresnel diffraction integral

Feshchenko R. M.; Vinogradov A. V.; Artyukov I. A.

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Propagation of waves from an arbitrary shaped surface-A generalization of the Fresnel diffraction integral

机译：波从一个任意形状表面的传播 - 菲涅耳衍射积分的概括

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Using the method of Laplace transform the field amplitude in the paraxial approximation is found in the twodimensional free space using initial values of the amplitude specified on an arbitrary shaped monotonic curve. The obtained amplitude depends on one a priori unknown function, which can be found from a Volterra first kind integral equation. In a special case of field amplitude specified on a concave parabolic curve the exact solution is derived. Both solutions can be used to study the light propagation from arbitrary surfaces including grazing incidence X-ray mirrors. They can find applications in the analysis of coherent imaging problems of X-ray optics, in phase retrieval algorithms as well as in inverse problems in the cases when the initial field amplitude is sought on a curved surface. (C) 2017 Elsevier B.V. All rights reserved.

机译：使用拉普拉斯变换方法，在双模自由空间中使用任意形单调曲线上指定的幅度的初始值在二维自由空间中找到了近似自由空间中的磁场幅度。获得的幅度取决于先验未知函数，其可以从Volterra第一类积分方程中找到。在凹形抛物线曲线上指定的特殊情况下，派生了精确的解决方案。这两种解决方案都可用于研究从包括放牧入射X射线镜的任意表面的光传播。他们可以在分析X射线光学器件的分析中找到应用程序，在曲面检索算法中，在曲面上寻求初始场幅度的情况下的逆问题。（c）2017年Elsevier B.V.保留所有权利。

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来源
《Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter》 |2018年第2018期|共4页
作者
Feshchenko R. M.; Vinogradov A. V.; Artyukov I. A.;
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作者单位

RAS PN Lebedev Phys Inst 53 Leninski Prospect Moscow 119991 Russia;

RAS PN Lebedev Phys Inst 53 Leninski Prospect Moscow 119991 Russia;

RAS PN Lebedev Phys Inst 53 Leninski Prospect Moscow 119991 Russia;

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原文格式 PDF
正文语种 eng
中图分类光学;
关键词
Parabolic wave equation; Coherent X-ray imaging; Inverse problem; Free electron laser;

机译：抛物线波动方程;相干X射线成像;反问题;自由电子激光器;

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1. Propagation of waves from an arbitrary shaped surface-A generalization of the Fresnel diffraction integral [J] . Feshchenko R. M., Vinogradov A. V., Artyukov I. A. Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2018,第期

机译：波从一个任意形状表面的传播 - 菲涅耳衍射积分的概括
2. Rigorous evaluation of propagation losses in arbitrarily shaped waveguide structures using boundary integral - resonant mode expansion and perturbation of boundary conditions [J] . Marini S., Soto P., Mattes M., Microwaves, Antennas & Propagation, IET . 2014,第12期

机译：使用边界积分-共振模式扩展和边界条件摄动来严格评估任意形状波导结构中的传播损耗。
3. Propagation of light from dipole source and generalization of Fresnel-Kirchhoff integral [J] . Markovic V. M., Stevanovic N., Nikezic D. Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：光从偶极源的传播与Fresnel-Kirchhoff积分的泛化
4. Wave Propagation Loss Prediction Model Using A Diffraction Theory and The Fresnel's Integrals For Various Types of Finite Width Obstacles [C] . S. W. Kim, S. K. Chang, B. K. Kim, The 6th Asia-Pacific Conference on Communications: Proceedings 2, Oct 30 - Nov 2, 2000, Seoul, Korea . 2000

机译：各种有限宽障碍物的基于衍射理论和菲涅尔积分的波传播损耗预测模型
5. Application of the finite integral technique and the measured equation of invariance to electromagnetic scattering problems involving three-dimensional, arbitrarily-shaped, inhomogeneous bodies [D] . Henderson, John Hubert, Jr. 1997

机译：有限积分技术和测得的不变性方程在涉及三维任意形状不均匀物体的电磁散射问题中的应用
6. Diffraction-less propagation beyond the sub-wavelength regime: a new type of nanophotonic waveguide [O] . Carlos Alonso-Ramos, Xavier Le Roux, Jianhao Zhang, -1

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7. Propagation of waves from an arbitrary shaped surface -- a generalization of the Fresnel diffraction integral [O] . Feshchenko, R M, Vinogradov, A V, Artyukov, I A 2017

机译：来自任意形状表面的波的传播 - a 菲涅耳衍射积分的推广
8. 06perturbation Approach to the Diffraction of Electromagnetic Waves by Arbitrarily Shaped Dielectric Obstacles [R] . Yeh, C. W. H. 1964

机译：任意形状介质障碍对电磁波衍射的微扰方法

Propagation of waves from an arbitrary shaped surface-A generalization of the Fresnel diffraction integral

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