Abstract

Nonlinear photonic crystals formed by two-dimensional periodic poling of the quadratic susceptibility ${\chi }^{\left(2\right)}$ can support quasi-phase-matched harmonic generation. The frequency-conversion efficiency depends on the photonic crystal’s poling pattern through certain Fourier coefficients of the poling function. A procedure is described for finding those poling patterns that are most efficient for any specific quasi-phase-matched frequency-conversion scheme.

© 2003 Optical Society of America

Two-dimensional poling patterns for 3rd and 4th harmonic generation

Andrew H. Norton and C. Martijn de Sterke
Opt. Express 11(9) 1008-1014 (2003)

Phase matching in nonlinear χ⁽²⁾ photonic crystals

Solomon Saltiel and Yuri S. Kivshar
Opt. Lett. 25(16) 1204-1206 (2000)

Phase-matching conditions for nonlinear frequency conversion by use of aligned molecular gases

R. A. Bartels, N. L. Wagner, M. D. Baertschy, J. Wyss, M. M. Murnane, and H. C. Kapteyn
Opt. Lett. 28(5) 346-348 (2003)

Accurate switching intensities and length scales in quasi-phase-matched materials

Ole Bang, Torben Winther Graversen, and Joel F. Corney
Opt. Lett. 26(13) 1007-1009 (2001)

Efficient collinear fourth-harmonic generation by two-channel multistep cascading in a single two-dimensional nonlinear photonic crystal

Martijn de Sterke, Solomon M. Saltiel, and Yuri S. Kivshar
Opt. Lett. 26(8) 539-541 (2001)