Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
Volume 32, Issue 2, Pages 290-296Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAB.32.000290
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Funding
- Grant of Ministry of Education and Science of the Russian Federation [14.B25.31.0003]
- Government program of the leading research schools [NSh-4373.2014.2]
- Russian Academy of Sciences [24]
- Division of Physical Sciences and Siberian Branch
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A new method to solve the direct Zakharov-Shabat scattering problem is proposed based on the solution for coupled Gel'fand-Levitan-Marchenko integral equations. Speedup of computations is achieved by using the Toplitz symmetry of the matrix and an inner bordering procedure. The new algorithm was tested on the exactly solvable potential. It is shown that the suggested algorithm significantly surpasses the traditional transfer matrix method in efficiency. (C) 2015 Optical Society of America
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