Title :
Iterative solution to the Gel´Fand-Levitan-Marchenko coupled equations and application to synthesis of fiber gratings
Author :
Peral, Eva ; Capmany, José ; Marti, Javier
Author_Institution :
Dept. de Comunicaciones, ETSI Telecommun., Valencia, Spain
fDate :
12/1/1996 12:00:00 AM
Abstract :
In this paper, we develop an iterative solution to the coupled Gel´Fand-Levitan-Marchenko integral equations. It will be proved that this new technique outstands other methods such as the exact GLM solution or the Fourier method. As one of its many applications, the synthesis of fiber gratings for dispersion equalization will be tackled
Keywords :
diffraction gratings; equalisers; integral equations; iterative methods; optical design techniques; optical fibre dispersion; optical fibre theory; optical fibres; Fourier method; Gel´Fand-Levitan-Marchenko coupled equations; coupled Gel´Fand-Levitan-Marchenko integral equations; dispersion equalization; exact GLM solution; fiber grating synthesis; iterative solution; Approximation methods; Delay; Fourier transforms; Frequency; Integral equations; Propagation constant; Reflection; Scattering;
Journal_Title :
Quantum Electronics, IEEE Journal of
