Approximate analysis of planar photonic bandgap waveguides: a simple semi-analytical method

Gehlot, Kanchan; Sharma, Anurag
March 2014
Optical & Quantum Electronics;Mar2014, Vol. 46 Issue 3, p455
Academic Journal
A semi-analytical approximate method, V opt, is applied to a planar photonic bandgap (PBG) waveguide and a coupler configuration. The variational process of the V opt method presents simple effective index analysis of the complex two dimensional (2-D) structures. The V opt method expresses the refractive index profile of the 2-D structure as two 1-D refractive index profiles and obtains the optimized indices for the two structures iteratively. The V opt method separates the planar PBG waveguide into an effective multilayer waveguide confining optical field in the lateral direction and a 1-D Bragg reflector that gives characteristic reflection/transmission spectra. The results obtained by the V opt method show good agreement with the numerical results of the finite difference time domain analysis. The present analysis is helpful in understanding the optical properties of such complex waveguides and can be used as starting approximation for optimizing the structures for various applications.


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