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Summary: Opt Quant Electron (2007) 39:361375
DOI 10.1007/s11082-007-9102-8
Quasi phase matching in two-dimensional nonlinear
photonic crystals
Ady Arie · Nili Habshoosh · Alon Bahabad
Received: 9 July 2006 / Accepted: 12 December 2007 / Published online: 16 June 2007
© Springer Science+Business Media, LLC 2007
Abstract We analyze quasi-phase-matched (QPM) conversion efficiency of the five
possible types of periodic two-dimensional nonlinear structures: Hexagonal, square, rectan-
gular, centered-rectangular, and oblique. The frequency conversion efficiency, as a function
of the two-dimensional quasi-phase-matching order, is determined for the general case. Fur-
thermore, it is demonstrated for two basic feasible motifs, a circular motif and a rectangular
motif. This enables to determine the optimal motif dimensions for achieving the highest
conversion efficiency. We find that a rectangular motif is more efficient than a circular motif
for quasi-phase-matched processes that rely on a single reciprocal lattice vector (RLV), and
that under optimal choice of motif dimensions, it converges into a one-dimensional perio-
dic structure. In addition, in a few specific cases we found that higher order QPM can be
significantly more efficient than lower order QPM.
Keywords Quasi phase matching · Nonlinear photonic crystals · Nonlinear frequency
conversion · Second harmonic generation
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