Open AccessUniversal modeling of second-order nonlinear frequency conversion in three-dimensional nonlinear photonic crystals
Author(s) -
Jing Zhang,
Xiaohui Zhao,
Yuanlin Zheng,
Honggen Li,
Xianfeng Chen
Publication year - 2018
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.015675
Subject(s) - nonlinear system , optics , second harmonic generation , nonlinear optics , birefringence , diffraction , physics , photonic crystal , photonics , phase (matter) , cross polarized wave generation , quasi phase matching , high harmonic generation , bragg's law , quantum mechanics , laser
The second-order nonlinear frequency conversion in three-dimensional nonlinear photonic crystals is theoretically studied using coupled wave equations. A universal theoretical model is obtained, with a unified expression combining birefringence phase match, quasi-phase match, nonlinear Raman-Nath diffraction, nonlinear Čerenkov radiation and nonlinear Bragg diffraction. They are demonstrated in the numerical simulation. With the phase-matching conditions in lower dimensions extended to three dimensions, more various phenomena can be seen and corresponding mechanisms can be explained. This research enables the control of second-harmonic generation more efficiently and has potential applications in more complicated nonlinear photonic crystals.