## Wave characteristics in gratings by linear superposition of retarded fields

JOSA A, Vol. 23, Issue 12, pp. 3229-3237 (2006)

http://dx.doi.org/10.1364/JOSAA.23.003229

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### Abstract

We present a formalism for the wave characteristics in gratings and periodic dielectrics based on the linear superposition of retarded fields. The idea is based on the physical picture that an incident field affects the charges in the material forming the gratings and hence leads to oscillating current and charge densities, which in turn generate more fields via the retarded potential. A set of self-consistent equations for the electric field and current and charge densities is derived. Expressions for the electric field everywhere, including the reflected and transmitted fields, are derived. The formalism is then applied to the calculation of diffraction efficiency so as to illustrate its application and to establish its validity by comparing results with the rigorous coupled-wave method. We further generalize the formalism to include possible anisotropy and nonlinearity in the response of the material forming the grating.

© 2006 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(050.1950) Diffraction and gratings : Diffraction gratings

(050.1960) Diffraction and gratings : Diffraction theory

(190.4160) Nonlinear optics : Multiharmonic generation

(260.2110) Physical optics : Electromagnetic optics

**ToC Category:**

Physical Optics

**History**

Original Manuscript: March 29, 2006

Revised Manuscript: July 3, 2006

Manuscript Accepted: July 12, 2006

**Citation**

King-Yan Fong and Pak Ming Hui, "Wave characteristics in gratings by linear superposition of retarded fields," J. Opt. Soc. Am. A **23**, 3229-3237 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-12-3229

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