Annular gap solitons in Kerr media with circular gratings

Jacob Scheuer*, Boris Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We introduce standing-light patterns trapped in a Bragg grating written along the radial direction in a self-focusing (SF) or self-defocusing (SDF) optical medium. Unlike previously studied axisymmetric settings that deal with the axial propagation, we consider the propagation of light in the radial directions (outward and inward), which may give rise to annular gap solitons (AGSs), supported by the circular grating. An estimate for the threshold of the modulational instability of the AGS against azimuthal perturbations in the SF medium is obtained analytically, and verified by direct simulations. In the SDF model, stable annular and dipole solitons are found in a numerical form, while multipole patterns and vortex rings are unstable. Similar solitons are possible in the Bose-Einstein condensate.

Original languageEnglish
Article number063805
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 6 Jun 2007


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