Efficient numerical method of the fiber Bragg grating synthesis
classification
⚛️ physics.optics
physics.comp-ph
keywords
methodnumericalaccuracyborderingbraggcompetitivedevelopeddiscrete
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A new numerical method is developed for solution of the Gel'fand - Levitan - Marchenko inverse scattering integral equations. The method is based on the fast inversion procedure of a Toeplitz Hermitian matrix and special bordering technique. The method is highly competitive with the known discrete layer peeling method in speed and exceeds it noticeably in accuracy at high reflectance.
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