## Application of the complex Poynting theorem to diffraction gratings

JOSA A, Vol. 16, Issue 5, pp. 1097-1107 (1999)

http://dx.doi.org/10.1364/JOSAA.16.001097

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### Abstract

The complex Poynting theorem has been used to study power flow and energy storage for the case in which a plane wave (polarization wherein the electric field is in the plane of incidence) is scattered from a generally lossy, anisotropic, non-Hermitian diffraction grating. The full electromagnetic fields of the diffraction grating system were specified, and, in applying the complex Poynting theorem to the grating system, a full calculation of the diffraction efficiency, the electromagnetic (electric and magnetic) energy, and the real, reactive, dissipative, and evanescent power of the grating was made. A step profile grating was used to test numerical examples, and, in all cases considered, the complex Poynting theorem was obeyed to a high degree of numerical accuracy. In the study the effects that anisotropy and lossiness of the grating system had on the complex power of the system were illustrated. A comparison of the complex power that resulted from scattering from diffraction gratings composed of Hermitian and non-Hermitian anisotropic materials was numerically studied. © 1999 Optical Society of America [S0740–3232(99)02505–3]

© 1999 Optical Society of America

**OCIS Codes**

(050.1940) Diffraction and gratings : Diffraction

(050.1950) Diffraction and gratings : Diffraction gratings

(160.1190) Materials : Anisotropic optical materials

**Citation**

John M. Jarem and Partha P. Banerjee, "Application of the complex Poynting theorem to diffraction gratings," J. Opt. Soc. Am. A **16**, 1097-1107 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-5-1097

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