The International Society for Optics and Photonics
CREOL, The College of Optics & Photonics
The mission of SPIE Student Chapter is to advance an interdisciplinary approach to the science and application of light and provide professional development opportunities for UCF students.

SPIE Student Chapter seminar: "Discrete Nonlinear Optics" - Dr. George Stegeman

Abstract Discrete optical phenomena occur in one or two dimensional periodic arrays of parallel coupled waveguides. The spatial coupling between adjacent waveguides occurs via the evanescent fields associated with each waveguide and can be controlled by the waveguide spacing and field confinement. Light spreads throughout the array, "discrete" diffraction, via this evanescent coupling between neighboring channels. The resulting "plane wave" dispersion relations (frequency versus wavevector) are quasi-sinusoidal in nature, periodic, involve multiple bands and contain regions of both normal and anomalous diffraction. Furthermore, when one or only a few channels are excited, the discrete diffraction pattern takes the form of two strong sidelobes with minimal energy in the middle, in sharp contrast to the usual bulk diffraction in which the maximum remains in the middle of the excitation beam.Nonlinear interactions occur via the usual nonlinear optics mechanisms, i.e. the second and third order (and higher) nonlinearities. The interactions between strongly-confined input beams occurs over shorter distances than in bulk media. Because diffraction can have either sign, both dark and bright solitons (self-trapped beams) can occur with either self-focusing or self-defocusing nonlinearities. Also, there are novel soliton structures possible because of discreteness and the existence of multiple bands. Contact: Yi-Hsin Lin, 407-823-4965

Posted Tuesday, May 3, 2005

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