Abstract
The smooth transition method for determination of complex leaky modes in
multilayer waveguides is revisited. The mapping between the mode solutions
of the initial close waveguide and that of the final open waveguide is
discussed and established. It is suggested that a more suitable initial
guess should be the real guided modes and the imaginary evanescent modes in
a close waveguide with perfect reflecting boundary conditions. Further, the
artificial boundary should be positioned right at the two farthest
interfaces of the multilayer stacks adjacent to the outer cladding layers.
The accuracy, efficiency, and robustness of the new algorithm are validated
through calculating the leaky modes in a multilayer waveguide structure and
three-layer slab waveguide
structures.
© 2010 IEEE
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