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. <b>12</b>, 517 (1989)]. We also show that in a number of cases the accuracy improves considerably through iteration beyond the first cycle.
© 2001 Optical Society of America
(000.3860) General : Mathematical methods in physics
(130.0130) Integrated optics : Integrated optics
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.7380) Optical devices : Waveguides, channeled
Anurag Sharma, "Analysis of integrated optical waveguides: variational method and effective-index method with built-in perturbation correction," J. Opt. Soc. Am. A 18, 1383-1387 (2001)