
Propagation through apodized gratings
Author(s) -
C. Martijn de Sterke
Publication year - 1998
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.3.000405
Subject(s) - apodization , optics , grating , physics , fiber bragg grating , nonlinear system , self phase modulation , position (finance) , phase (matter) , nonlinear optics , diffraction grating , optical fiber , quantum mechanics , laser , finance , economics
It is shown that light propagation in an apodized fiber Bragg grating with a Kerr nonlinearity approximately obeys a nonlinear Schr"odinger-like equation, but with extra terms because the eigenstates of the grating vary with position. It is shown that propagation through such a grating leads to field enhancement, and to a nontrivial phase shift; an approximate expression for the reflectivity is also found.