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Radially symmetric nonlinear photonic crystals Noa Voloch,* Tal Ellenbogen, and Ady Arie

Summary: Radially symmetric nonlinear photonic crystals
Noa Voloch,* Tal Ellenbogen, and Ady Arie
School of Electrical Engineering, Department of Physical Electronics, Fleishman Faculty of Engineering,
Tel Aviv University, Tel Aviv 69978, Israel
*Corresponding author: noavoloc@post.tau.ac.il
Received July 23, 2008; accepted September 23, 2008;
posted October 16, 2008 (Doc. ID 99186); published December 15, 2008
Different types of quadratic, radially symmetric, nonlinear photonic crystals are presented. The modulation of
the nonlinear coefficient may be a periodic or an aperiodic function of the radial coordinate, whereas the azi-
muthal symmetry of the crystal may be either continuous or discrete. Nonlinear interactions within these
structures are studied in two orientations, transverse and longitudinal, for which the interacting beams propa-
gate either perpendicularly or in the plane of modulation. We show that radially symmetric structures can
phase match multiple arbitrary processes in any direction. We study multiple wavelength three-wave mixing
interactions and multiple direction interactions and analyze spatially dependent polarization states of the gen-
erated harmonics. 2009 Optical Society of America
OCIS codes: 190.4360, 190.2620, 190.4160.
Frequency conversion processes resulting from second-
order nonlinearity are usually inefficient due to disper-
sion. The interacting light beams travel with different


Source: Arie, Ady - Department of Electrical Engineering-Physical Electronics, Tel Aviv University


Collections: Engineering