Abstract

We describe a nonlinear propagation model based on a generalized Schrödinger equation in the time domain coupled to Gaussian beam evolution through ABCD matrices that account for Kerr lensing in the spatial domain. This model is well suited to simulate propagation in mildly nonlinear systems such as multipass cells for temporal compression. It is validated against both a full $(x,y,z,t)$ numerical model and recently reported experimental results in multipass cells, with excellent agreement. It also allows us to identify the physical mechanism for the recently reported parasitic appearance of spectral content in the 700–950 nm range in argon-filled multipass cells that are used to compress pulses at 1030 nm. We think this is due to a quasi-phase-matched degenerate four-wave mixing process. This process could be used in the future to perform wavelength conversion as is already done in fibers and capillaries.

© 2020 Optical Society of America

Multipass cells: 1D numerical model and investigation of spatio-spectral couplings at high nonlinearity

Nour Daher, Florent Guichard, Spencer W. Jolly, Xavier Délen, Fabien Quéré, Marc Hanna, and Patrick Georges
J. Opt. Soc. Am. B 37(4) 993-999 (2020)

Nonlinear temporal compression in multipass cells: theory

Marc Hanna, Xavier Délen, Loic Lavenu, Florent Guichard, Yoann Zaouter, Frédéric Druon, and Patrick Georges
J. Opt. Soc. Am. B 34(7) 1340-1347 (2017)

Nonlinear beam matching to gas-filled multipass cells

Marc Hanna, Louis Daniault, Florent Guichard, Nour Daher, Xavier Délen, Rodrigo Lopez-Martens, and Patrick Georges
OSA Continuum 4(2) 732-738 (2021)

Efficient wavelength conversion based on quasi-phase-matched four-wave mixing in a silicon waveguide with a microring phase shifter

Boyuan Jin, Chongxiu Yu, Jinhui Yuan, Xinzhu Sang, Xingye Xiang, Zhanyong Liu, and Shuai Wei
J. Opt. Soc. Am. B 30(9) 2491-2497 (2013)

Phase-matched gratings for enhanced forward degenerate four-wave mixing

E. Giorgetti, P. Lambkin, Qu Li, L. Palchetti, S. Sottini, D. Grando, and W. Blau
J. Opt. Soc. Am. B 12(1) 58-66 (1995)