Abstract
In combination with the perfectly matched layer (PML)-paradigm, eigenmode
expansion techniques have become increasingly important in the analysis and
design of cylindrical and planar waveguides for photonics applications. To
achieve high accuracy, these techniques rely on the determination of many
modes of the modal spectrum of the waveguide under consideration. In this
paper, we focus on the efficient computation of TM- and TE-polarized leaky
modes for multilayered cylindrical waveguides. First, quasi-static estimates
are derived for the propagation constants of these modes. Second, these
estimates are used as a starting point in an advanced Newton iteration
scheme after they have been subjected to an adaptive linear error
correction. To prove the validity of the computation technique, it is
applied to technologically important cases: vertical-cavity surface-emitting
lasers and a monomode fiber.
© 2010 IEEE
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