Abstract
A new method for the simulation of nonlinear processes of sum-frequency
generation (SFG), difference-frequency generation (DFG) and cascaded SFG/DFG
(cSFG/DFG) in complex periodically poled lithium niobate (PPLN) gratings for
continuous wave signals is proposed and numerically validated. It is based
on the transfer matrix method and shows better performance in comparison with
traditional numerical solving methods of ordinary differential equations,
in particular when nonuniform PPLN are considered. In addition, a Fourier
transform method to compute SFG, DFG, cSFG/DFG, and also some cascaded second-harmonic
generation/difference-frequency generation interactions of modulated signals
is presented. This new algorithm considerably decreases the computing time
in comparison with well-known finite-differences methods.
© 2011 IEEE
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