Periodic and quasi-periodic nonlinear photonic crystals

Ady Arie

doi:10.1117/12.726975

5 March 2007 Periodic and quasi-periodic nonlinear photonic crystals

Ady Arie

Proceedings Volume 6604, 14th International School on Quantum Electronics: Laser Physics and Applications; 66041A (2007) https://doi.org/10.1117/12.726975
Event: 14th International School on Quantum Electronics: Laser Physics and Applications, 2006, Sunny Beach, Bulgaria

Abstract

Nonlinear photonic crystals are materials in which the second order susceptibility is modulated, while the linear susceptibility remains constant. In this paper, quasi-phase matching possibilities in several different nonlinear photonic crystals are analyzed and compared. A periodic one-dimensional structure is usually employed for phase matching a single process, but we show that two processes can also be simultaneously phase matched by non-collinear interaction. Two-dimensional periodic modulation provides additional extension of the phase matching possibilities. The dependence of the process conversion efficiency on the specific choice of lattice, nonlinear motif and quasi-phase-matched order is analyzed. Further extensions are provided by quasi-periodic schemes. A very powerful method for designing quasi-periodic nonlinear structures, with either one-dimensional or two-dimensional modulation, is the socalled dual-grid method. This method practically enables to phase matched any set of nonlinear interactions, in any chosen direction of propagation. Finally, frequency conversion using a converter with pure rotation symmetry is analyzed and demonstrated.

Citation Download Citation

Ady Arie "Periodic and quasi-periodic nonlinear photonic crystals", Proc. SPIE 6604, 14th International School on Quantum Electronics: Laser Physics and Applications, 66041A (5 March 2007); https://doi.org/10.1117/12.726975

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