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
Original Manuscript: August 4, 1998
Revised Manuscript: December 9, 1998
Manuscript Accepted: December 18, 1998
Published: May 1, 1999
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)