Self-similar evolution in nonlocal nonlinear media

T. P. Horikis*, D. J. Frantzeskakis, N. Antar, I. Bakirtaş, N. F. Smyth

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The self-similar propagation of optical beams in a broad class of nonlocal, nonlinear optical media is studied utilizing a generic system of coupled equations with linear gain. This system describes, for instance, beam propagation in nematic liquid crystals and optical thermal media. It is found, both numerically and analytically, that the nonlocal response has a focusing effect on the beam, concentrating its power around its center during propagation. In particular, the beam narrows in width and grows in amplitude faster than in local media, with the resulting beam shape being parabolic. Finally, a general initial localized beam evolves to a common shape.

Original languageEnglish
Pages (from-to)3701-3704
Number of pages4
JournalOptics Letters
Issue number15
Publication statusPublished - 1 Aug 2019

Bibliographical note

Publisher Copyright:
© 2019 Optical Society of America.


Dive into the research topics of 'Self-similar evolution in nonlocal nonlinear media'. Together they form a unique fingerprint.

Cite this