Abstract
A wide-angle, split-step finite-difference method with the classical local
one-dimensional scheme is presented to analyze the three-dimensional scalar
wave equation. Its essence is to convert the three-dimensional scalar wave
equation into two two-dimensional equations that can be solved without using
slowly varying envelope or one-way propagation approximations. To validate
the effectiveness, numerical results for the Gaussian beam propagation in
vacuum and the eigen-mode propagation in tilted step-index channel waveguide
are compared with other beam propagation algorithms. Results show that the
method has high accuracy and numerical efficiency compared with other known
split-step methods. The perfectly matched layer boundary condition can be
implemented easily.
© 2009 IEEE
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