Demonstration of Spatial Riemann Waves and Inviscid Burgers\’Equation Dynamics in Nonlinear Optics

Year: 2018

Authors: Bongiovanni D., Wetzel B., Hu Y., Yang P., Qiu Y., Xu J., Wabnitz S., Chen Z., Morandotti R.

Autors Affiliation: INRS-EMT, 1650 Blvd. Lionel-Boulet, Varennes, QC J3X 1S2, Canada; School of Mathematical and Physical Sciences, University of Sussex, Sussex House, Falmer, Brighton, BN1 9RH, United Kingdom; TEDA Applied Physics Institute and School of Physics, Nankai University, Tianjin, 300457, China; Dipartimento di Ingegneria dell\’Informazione, Università Degli Studi di Brescia, INO-CNR, via Branze 38, Brescia, I-25123, Italy; Department of Physics and Astronomy, San Francisco State University, San Francisco, CA 94132, United States; Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, China; National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, 197101, Russian Federation

Abstract: We report on observation of spatial Riemann wave dynamics in a nonlinear m-cresol/nylon thermal solution, obtained by properly tailoring the initial optical beam. Experimental results show controllable steepening and shock formation, in good agreement with theory.

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KeyWords: Shock waves; Nonlinear equations; Dispersive shock