Abstract

We investigate the impact of the finite rise time of a spatiotemporal boundary inside a dispersive medium used for reflection and refraction of optical pulses. We develop a matrix approach in the frequency domain for analyzing such spatiotemporal boundaries and use it to show that the frequency range over which reflection can occur is reduced as the rise time increases. We also show that total internal reflection can occur even for boundaries with long rise times. This feature suggests that spatiotemporal waveguides can be realized through cross-phase modulation even when pump pulses have relatively long rise and fall times.

© 2021 Optical Society of America

Temporal reflection and refraction of optical pulses inside a dispersive medium: an analytic approach

Junchi Zhang, W. R. Donaldson, and G. P. Agrawal
J. Opt. Soc. Am. B 38(3) 997-1003 (2021)

Time-domain Fabry–Perot resonators formed inside a dispersive medium

J. Zhang, W. R. Donaldson, and Govind P. Agrawal
J. Opt. Soc. Am. B 38(8) 2376-2382 (2021)

Analytical transient analysis of temporal boundary value problems using the d’Alembert formula

Wending Mai and Douglas H. Werner
Opt. Lett. 46(22) 5727-5730 (2021)

Effect of chirp on pulse reflection and refraction at a moving temporal boundary

Wangyang Cai, Zeyu Yang, Haoyun Wu, Lei Wang, Jin Zhang, and Lifu Zhang
Opt. Express 30(19) 34875-34886 (2022)

Light scattering at a temporal boundary in a Lorentz medium

M. I. Bakunov, A. V. Shirokova, M. A. Kurnikov, and A. V. Maslov
Opt. Lett. 46(19) 4988-4991 (2021)