Backward second-harmonic generation in periodically poled lithium niobate NooEL -Department of Electronic Engineering, University of Rome Roma Tre Rome November, 2006
A sketch of backward SHG k 1 k 2 GR GR =2 k GR
The coupled-wave equations for BSHG
The normalized coupled-wave equations, used in a code
Solution of the problem The shooting method PDE solver: The fast Fourier transform and a fourthorder Runge–Kutta algorithm * * Sidick et al. J. Opt. Soc. Am. B/Vol. 12, No Real function
Experemental case for BSHG sh nm fw nm nm Ideal case nm Best case nm Our case m m ps FWHM ; L=1cm ; PPLN; 8960nm
The Algorithm
Results
The coupled-wave equations for BSHG and BTHG
Results at the same order
Results at m 1 =5 and m 2 =2