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Arnoldus HF, Foley JT. Traveling and evanescent parts of the electromagnetic Green's tensor. J Opt Soc Am A Opt Image Sci Vis. 2002;19(8):1701-11doi: 10.1364/josaa.19.001701.
Arnoldus, H. F., & Foley, J. T. (2002). Traveling and evanescent parts of the electromagnetic Green's tensor. Journal of the Optical Society of America. A, Optics, image science, and vision, 19(8), 1701-11. https://doi.org/10.1364/josaa.19.001701
Arnoldus, Henk F, and Foley, John T. "Traveling and evanescent parts of the electromagnetic Green's tensor." Journal of the Optical Society of America. A, Optics, image science, and vision vol. 19,8 (2002): 1701-11. doi: https://doi.org/10.1364/josaa.19.001701
Arnoldus HF, Foley JT. Traveling and evanescent parts of the electromagnetic Green's tensor. J Opt Soc Am A Opt Image Sci Vis. 2002 Aug;19(8):1701-11. doi: 10.1364/josaa.19.001701. PMID: 12152712.
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J Opt Soc Am A Opt Image Sci Vis. 2002 Aug;19(8):1701-11. doi: 10.1364/josaa.19.001701.

Traveling and evanescent parts of the electromagnetic Green's tensor.

Journal of the Optical Society of America. A, Optics, image science, and vision

Henk F Arnoldus, John T Foley

Affiliations

  1. Department of Physics and Astronomy, Mississippi State University, Mississippi 39762-5167, USA. [email protected]

PMID: 12152712 DOI: 10.1364/josaa.19.001701

Abstract

The angular spectrum representation of the electromagnetic Green's tensor has a part that is a superposition of exponentially decaying waves in the +z and -z directions (evanescent part) and a part that is a superposition of traveling waves, both of which are defined by integral representations. We have derived an asymptotic expansion for the z dependence of the evanescent part of the Green's tensor and obtained a closed-form solution in terms of the Lommel functions, which holds in all space. We have shown that the traveling part can be extracted from the Green's tensor by means of a filter operation on the tensor, without regard to the angular spectrum integral representation of this part. We also show that the so-called self-field part of the tensor is properly included in the integral representation, and we were able to identify this part explicitly.

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