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Split-step non-paraxial beam propagation method
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Paper Abstract

A new method for solving the wave equation is presented, which, being non-paraxial, is applicable to wide-angle beam propagation. It shows very good stability characteristics in the sense that relatively larger step-sizes can be used. It is both faster and easier to implement. The method is based on symmetrized splitting of operators, one representing the propagation through a uniform medium and the other, the effect of the refractive index variation of the guiding structure. The method can be implemented in the FD-BPM, FFT-BPM and collocation schemes. The method is stable for a step size of 1 micron in a graded index waveguide with accuracy better than 0.001 in the field overlap integral for 1000-micron propagation. At a tilt angle of 50°, the method shows an error less than 0.001 with 0.25-micron step. In the benchmark test, the present method shows a relative power of ~0.96 in a 100 micron long waveguide with 1000 propagation steps and 800 sample points, while FD-BPM with Pade(2,2) approximation gives a relative power of 0.95 with 1000 sample points and 2048 propagation steps. Thus, the method requires fewer points, is easier to implement, faster, more accurate and highly stable.

Paper Details

Date Published: 18 June 2004
PDF: 11 pages
Proc. SPIE 5349, Physics and Simulation of Optoelectronic Devices XII, (18 June 2004); doi: 10.1117/12.528172
Show Author Affiliations
Anurag Sharma, Indian Institute of Technology/Delhi (India)
Arti Agrawal, Indian Institute of Technology/Delhi (India)

Published in SPIE Proceedings Vol. 5349:
Physics and Simulation of Optoelectronic Devices XII
Marek Osinski; Hiroshi Amano; Fritz Henneberger, Editor(s)

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