Abstract
We consider nonlinear pulse propagation in media with a dispersion relation exhibiting $J$ periodically spaced identical maxima in a co-moving frame. The nonlinear interactions lead to $J$ pulses centered at each of these frequencies. These pulses propagate at the same group velocity and interfere, leading to a highly non-uniform signal in time. This results in the enhancement of effective nonlinear effects, as we recently demonstrated experimentally [Nat. Phys. 18, 59 (2022) [CrossRef] ]. Here we present a detailed theoretical and numerical study of this nonlinear enhancement. We show that the amplitudes of the frequency components approximately follow a simple relation, which allows us to derive that the nonlinear enhancement factor increases as $0.687J$. Hence, enhancements of order 10 can be achieved with 15 frequency components.
© 2023 Optica Publishing Group
Full Article | PDF ArticleMore Like This
Sridhar Singhal, Sauradeep Kar, Shubhanshi Sharma, Mohd Rehan, Rashmi Kumari, and Shailendra K. Varshney
J. Opt. Soc. Am. B 40(2) 352-359 (2023)
Joshua Mann and James Rosenzweig
J. Opt. Soc. Am. B 40(8) 2064-2072 (2023)
Yi-Hao Chen, Henry Haig, Yuhang Wu, Zachary Ziegler, and Frank Wise
J. Opt. Soc. Am. B 40(10) 2633-2642 (2023)