## Integral equation analysis of coupling in symmetric grating-assisted optical waveguides

JOSA A, Vol. 23, Issue 6, pp. 1488-1502 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001488

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### Abstract

The propagation and coupling phenomena in grating-assisted optical couplers are analyzed by using an integral equation formulation and applying an entire-domain Galerkin technique. The proposed method constitutes a special type of the method of moments and provides high numerical stability and controllable accuracy. The electric field in the grating region is the unknown quantity and the resulting integral equation is subsequently solved by using Galerkin’s method. The propagation constants of the guided waves are computed accurately by determining the singular points of the corresponding system’s matrix. Numerical results regarding the propagation constants are presented for various coupler parameters, and the effect of the grating’s physical and geometric characteristics on the coupling process is investigated.

© 2006 Optical Society of America

**OCIS Codes**

(050.2770) Diffraction and gratings : Gratings

(230.3120) Optical devices : Integrated optics devices

(230.7370) Optical devices : Waveguides

(230.7400) Optical devices : Waveguides, slab

**ToC Category:**

Optical Devices

**History**

Original Manuscript: October 14, 2005

Revised Manuscript: November 28, 2005

Manuscript Accepted: December 1, 2005

**Citation**

Nikolaos L. Tsitsas, Dimitra I. Kaklamani, and Nikolaos K. Uzunoglu, "Integral equation analysis of coupling in symmetric grating-assisted optical waveguides," J. Opt. Soc. Am. A **23**, 1488-1502 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-6-1488

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