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Updated: Aug 8, 2026
11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Integral equation analysis of coupling in symmetric grating-assisted optical waveguides
Nikolaos L Tsitsas1, Dimitra I Kaklamani, Nikolaos K Uzunoglu
1School of Electrical and Computer Engineering, National Technical University of Athens, Greece. ntsitsas@esd.ntua.gr
Summary
This study analyzes optical coupler behavior using a stable numerical method. It accurately calculates propagation constants and investigates how grating properties affect light coupling.
Area of Science:
- Optics and Photonics
- Electromagnetics
- Numerical Analysis
Background:
- Grating-assisted optical couplers are crucial for integrated optics.
- Understanding wave propagation and coupling is essential for device design.
Purpose of the Study:
- To analyze propagation and coupling in grating-assisted optical couplers.
- To develop a numerically stable and accurate analysis method.
Main Methods:
- Integral equation formulation combined with an entire-domain Galerkin technique.
- Method of moments variant for solving the electric field integral equation.
- Singular point analysis of the system matrix to compute propagation constants.
Main Results:
- Accurate computation of propagation constants for guided waves.
- Demonstration of high numerical stability and controllable accuracy.
- Investigation of grating parameters' influence on the coupling process.
Conclusions:
- The proposed Galerkin technique offers a robust method for analyzing grating-assisted optical couplers.
- Physical and geometric grating characteristics significantly impact optical coupling.
- The method provides accurate insights into guided wave propagation.
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