用伪周期函数和勒让德多项式的张量积分析蛇形光栅衍射的模态。

IF 1.4 3区物理与天体物理 Q3 OPTICS Journal of The Optical Society of America A-optics Image Science and Vision Pub Date : 2023-08-01 DOI:10.1364/JOSAA.493235

Malalatiana Rinah Rasoamilanto, Manjakavola Honoré Randriamihaja, Lala Bakonirina Andriamanampisoa, Gérard Granet, Karyl Raniriharinosy

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引用次数: 0

摘要

提出了蛇形光栅衍射问题，并将其表述为特征值特征向量问题。采用矩量法，将拟周期函数与勒让德多项式的张量积作为展开函数和测试函数，得到了数值解。通过与傅里叶模态法(FMM)在交叉光栅中的应用对比，验证了该方法的有效性。在金属光栅的情况下，我们的方法比FMM更有效。

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Modal analysis of diffraction by snake gratings using a tensor product of pseudo-periodic functions and Legendre polynomials.

The problem of diffraction by snake gratings is presented and formulated as an eigenvalue eigenvector problem. A numerical solution is obtained thanks to the method of moments where a tensor product of pseudo-periodic functions and Legendre polynomials is used as expansion and test functions. The method is validated by comparison with the usual Fourier modal method (FMM) as applied to crossed gratings. Our method is shown to be more efficient than the FMM in the case of metallic gratings.

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来源期刊

Journal of The Optical Society of America A-optics Image Science and Vision 物理-光学

CiteScore

3.40

自引率

10.50%

发文量

417

审稿时长

3 months

期刊介绍： The Journal of the Optical Society of America A (JOSA A) is devoted to developments in any field of classical optics, image science, and vision. JOSA A includes original peer-reviewed papers on such topics as: * Atmospheric optics * Clinical vision * Coherence and Statistical Optics * Color * Diffraction and gratings * Image processing * Machine vision * Physiological optics * Polarization * Scattering * Signal processing * Thin films * Visual optics Also: j opt soc am a.