Eliminating the Transverse Instabilities of Kerr Solitons

Charalambos Anastassiou; Marin Soljačić; Mordechai Segev; Eugenia D. Eugenieva; Demetrios N. Christodoulides; Detlef Kip; Ziad H. Musslimani; Juan P. Torres

doi:10.1103/PhysRevLett.85.4888

Eliminating the Transverse Instabilities of Kerr Solitons

Charalambos Anastassiou, Marin Soljačić, Mordechai Segev, Eugenia D. Eugenieva, Demetrios N. Christodoulides, Detlef Kip, Ziad H. Musslimani, and Juan P. Torres

Phys. Rev. Lett. 85, 4888 – Published 4 December 2000

Abstract

We show analytically, numerically, and experimentally that a transversely stable one-dimensional $[(1 + 1) D]$ bright Kerr soliton can exist in a 3D bulk medium. The transverse instability of the soliton is completely eliminated if it is made sufficiently incoherent along the transverse dimension. We derive a criterion for the threshold of transverse instability that links the nonlinearity to the largest transverse correlation distance for which the 1D soliton is stable.

Received 26 June 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.4888

Authors & Affiliations

Charalambos Anastassiou^1,2, Marin Soljačić^1,3, Mordechai Segev^1,2, Eugenia D. Eugenieva⁴, Demetrios N. Christodoulides⁴, Detlef Kip^1,5, Ziad H. Musslimani⁶, and Juan P. Torres^1,7

¹Physics Department and the Solid State Institute, Technion, Haifa 32000, Israel
²Electrical Engineering Department, Princeton University, Princeton, New Jersey 08544
³Physics Department, Princeton University, Princeton, New Jersey 08544
⁴Electrical Engineering and Computer Science Department, Lehigh University, Bethlehem, Pennsylvania 18015
⁵Physics Department, Universität Osnabrück, 49069 Osnabrück, Germany
⁶Mathematics Department, Technion, Haifa 32000, Israel
⁷Department of Signal Theory and Communications, Polytechnic University of Catalonia, Jordi Girona 1-3, Campus Nord D3, 08034 Barcelona, Spain