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

160-Gb/s all-optical phase-transparent wavelength conversion through cascaded SFG-DFG in a broadband linear-chirped PPLN waveguide

Guo-Wei Lu, Satoshi Shinada, Hideaki Furukawa, Naoya Wada, Tetsuya Miyazaki, and Hiromasa Ito
Opt. Express 18(6) 6064-6070 (2010)

Analysis of acceptable spectral windows of quadratic cascaded nonlinear processes in a periodically poled lithium niobate waveguide

Kwang Jo Lee, Sheng Liu, Katia Gallo, Periklis Petropoulos, and David J. Richardson
Opt. Express 19(9) 8327-8335 (2011)

All-optical AND and NAND gates based on cascaded second-order nonlinear ₃ waveguide

Yeung Lak Lee, Bong-Ahn Yu, Tae Joong Eom, Woojin Shin, Changsoo Jung, Young-Chul Noh, Jongmin Lee, Do-Kyeong Ko, and Kyunghwan Oh
Opt. Express 14(7) 2776-2782 (2006)

Single-PPLN-based simultaneous half-adder, half-subtracter, and OR logic gate: proposal and simulation

Jian Wang, Junqiang Sun, and Qizhen Sun
Opt. Express 15(4) 1690-1699 (2007)

Ultrafast all-optical logic AND gate for CSRZ signals using periodically poled lithium niobate

Jian Wang, Qizhen Sun, and Junqiang Sun
J. Opt. Soc. Am. B 26(5) 951-958 (2009)