Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 63, Issue 3, Pages 401-427Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-012-0196-x
Keywords
Diffractive optics; Periodic operator; Quasilinear equation; Resonance
Categories
Funding
- Graduiertenkolleg 1294: Analysis, Simulation and Design of Nanotechnological Processes
- MICINN (Spain) [MTM2008-03541]
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The propagation of modulated light in a 2d nonlinear photonic waveguide is investigated in the framework of diffractive optics. It is shown that the dynamics obeys a nonlinear Schrodinger equation at leading order. We compute the first and second corrector and show that the latter may describe some dispersive radiation through the structure. We prove the validity of the approximation in the interval of existence of the leading term.
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