Abstract

We extend the concept of Riemann waves (RWs) to the spatial domain and demonstrate for the first time, to the best of our knowledge, Riemann beams with a propagation scenario allowing controllable shock formation in a nonlinear optical system. Similar to their standard counterparts, “shifted” RWs are characterized by a local propagation speed proportional to their local amplitude. Their steepening dynamics can be judiciously controlled by means of an additional phase term. In particular, RWs are generated by properly tailoring the initial phase of an optical beam propagating through a thermal solution of an m-cresol/nylon mixture that exhibits a giant self-defocusing nonlinearity. The experimental results show a controllable steepening and shock wave behavior, in good agreement with the prediction from the simple inviscid Burgers equation.

© 2019 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Control of gradient catastrophes developing from dark beams

S. Malaguti, A. Corli, and S. Trillo
Opt. Lett. 35(24) 4217-4219 (2010)

Vortex solitons in a saturable optical medium

Vladimir Tikhonenko, Yuri S. Kivshar, Victoria V. Steblina, and Alex A. Zozulya
J. Opt. Soc. Am. B 15(1) 79-86 (1998)

Harnessing and control of optical rogue waves in supercontinuum generation

John. M. Dudley, Goëry Genty, and Benjamin J. Eggleton
Opt. Express 16(6) 3644-3651 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (7)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription