Abstract
By introducing the symmetry-breaking in geometry, we reveal the existence of thresholdless crescent waves, i.e., nonlinear surface modes pinged to the boundary of a curvature, in an elliptical ring. An effective nonlinear Schrödinger equation along the azimuthal direction is derived by taking the transformation in the curvilinear coordinate of elliptical symmetry, which illustrates the formation of trapping potentials (barriers) along the semi-major (minor) axis. Our results demonstrate an alternative but efficient approach to access optical surface modes with a variety of micro-structures.
© 2013 IEICE
PDF ArticleMore Like This
YuanYao Lin, Kuan-Hsien Kuo, and Ray-Kuang Lee
JW3A.8 Frontiers in Optics (FiO) 2013
YuanYao Lin, Chandroth P. Jisha, Tsin-Dong Lee, and Ray-Kuang Lee
NM4C.7 Nonlinear Photonics (NP) 2012
U Mohideen, R. E. Slusher, P. R. Rice, and L. Pedrotti
QME6 Quantum Electronics and Laser Science Conference (CLEO:FS) 1995