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Summary: 638 IEEE JOURNAL OF QUANTUM ELECTRONICS, VOL. 44, NO. 7, JULY 2008
Analysis of Colinear Quasi-Phase-Matching in
Nonlinear Photonic Crystals
Alon Bahabad, Noa Voloch, and Ady Arie, Senior Member, IEEE
Abstract--Standard quasi-phase-matching (QPM) schemes as-
sume exact momentum relations between the interacting beams,
thus necessitating the direct use of a reciprocal lattice vector to
satisfy momentum balance. Usage of finite width beams for col-
inear interactions permits to use a projection of the reciprocal lat-
tice vector along the propagation direction of the beams. We ana-
lytically derive this result and exam the new options given by this
projection-based QPM for the analysis and design of nonlinear op-
tical devices.
Index Terms--Frequency conversion, nonlinear optics,
phase-matching.
I. INTRODUCTION
SECOND-order nonlinear optical processes usually suffer
from dispersion. As beams of different frequencies prop-
agate at different velocities they become out of phase with each
other, thus efficient energy transfer is prevented. This phase mis-
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