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An analog of the Rayleigh-Sommerfeld integral for anisotropic and gyrotropic media. (English) Zbl 1356.78091
Summary: In this work, the integral representations of Maxwell’s equations solutions for anisotropic and gyrotropic media with separable longitudinal and transverse components are derived in a complete analytic form. In particular cases, the integral expressions are reduced to an analog of the Rayleigh-Sommerfeld integral.

MSC:
78A48 Composite media; random media in optics and electromagnetic theory
78A25 Electromagnetic theory (general)
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[1] DOI: 10.1364/JOSAA.20.000163
[2] DOI: 10.1103/PhysRevLett.96.163905
[3] DOI: 10.1364/OE.18.010848
[4] DOI: 10.1364/JOSA.73.000920
[5] DOI: 10.1364/JOSAA.18.001656
[6] DOI: 10.1103/PhysRevLett.99.073901
[7] DOI: 10.1364/OL.33.000696
[8] DOI: 10.1364/JOSAA.27.002188
[9] DOI: 10.1364/JOSAA.18.002846
[10] DOI: 10.1364/JOSAA.22.000361
[11] DOI: 10.1088/1464-4258/10/9/095005
[12] DOI: 10.1364/JOSAA.27.001828
[13] Yariv A., Optical Waves in Crystals (1984)
[14] Potehin A.I., Radiation and Distribution of Electromagnetic Waves in the Anisotropic Environment (1979)
[15] DOI: 10.1364/JOSA.66.000780
[16] Bleistein N., Asymptotic Expansions of Integrals (1975) · Zbl 0327.41027
[17] DOI: 10.1364/JOSAA.29.000486
[18] Born M., Principles of Optics, 7th (expanded) ed. (2003)
[19] DOI: 10.1364/AO.43.002242
[20] DOI: 10.1121/1.2950081
[21] DOI: 10.1117/3.714999
[22] DOI: 10.1364/AO.40.005693
[23] DOI: 10.1364/AO.42.004529
[24] DOI: 10.1088/1751-8113/40/21/020 · Zbl 1138.78310
[25] Nye, J.F.Physical Properties of Crystals. Their Representation by Tensors and Matrices; Oxford University Press: Oxford, 1964. · Zbl 0079.22601
[26] DOI: 10.1364/JOSAA.20.002163
[27] DOI: 10.3116/16091833/12/2/62/2011
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