Analysis of integrated optical waveguides: variational method and effective-index method with built-in perturbation correction.
We show analytically that for the modal analysis of rectangular waveguides, the recently developed effective-index method with built-in perturbation correction is identical to the first-iteration cycle of the variational method that we had developed earlier [Opt. Quantum Electron. 12, 517 (1989)]. We also show that in a number of cases the accuracy improves considerably through iteration beyond the first cycle.
Sharma
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Department of Physics, Indian Institute of Technology, Delhi, India. asharma@physics.iitd.ac.in