Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: a simple finite difference algorithm |
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Authors: | Partha Roy Chaudhuri Sourabh Roy |
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Institution: | (1) Department of Physics, Indian Institute of Technology, Kharagpur, 721302, India |
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Abstract: | we present here a simple numerical method to obtain the mode effective indices as well as field distributions of modes of
any arbitrary profile planar optical waveguide. The method is based on the solutions of scalar and semivectorial Helmoltz’s
equation by finite difference algorithm and devised with a field convergence technique. This approach is quite general and
can be applied straightforwardly to calculate the guided as well as quasi- or leaky modes of any arbitrary planar structure
without the need to solve any eigenvalue equation or any complex matrix formalism. Besides providing the ease of application,
the algorithm is particularly useful for waveguides with any graded index profile or with irregular multilayered structure
and multilayered waveguides with a localised arbitrary nonlinear film. The performance of our method is verified against typical
problems with analytical solutions or having results known otherwise, and is shown to yield results with good accuracy. |
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Keywords: | Planar waveguide Nonlinear Arbitrary index profile Mode calculation Finite difference |
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