Third-harmonic generation via nonlinear Raman–Nath diffraction in nonlinear photonic crystal

Yan Sheng; Wenjie Wang; Roy Shiloh; Vito Roppo; Ady Arie; Wieslaw Krolikowski

doi:10.1364/OL.36.003266

Third-harmonic generation via nonlinear Raman–Nath diffraction in nonlinear photonic crystal

Yan Sheng, Wenjie Wang, Roy Shiloh, Vito Roppo, Ady Arie, and Wieslaw Krolikowski

Optics Letters
Vol. 36,
Issue 16,
pp. 3266-3268
(2011)
•https://doi.org/10.1364/OL.36.003266

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Yan Sheng, Wenjie Wang, Roy Shiloh, Vito Roppo, Ady Arie, and Wieslaw Krolikowski, "Third-harmonic generation via nonlinear Raman–Nath diffraction in nonlinear photonic crystal," Opt. Lett. 36, 3266-3268 (2011)

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Related Topics
Table of Contents Category
- Nonlinear Optics
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Diffraction (050.1940)
- Harmonic generation and mixing (190.2620)
- Nonlinear optics, parametric processes (190.4410)
- Microstructure fabrication (220.4000)

About this Article
History
- Original Manuscript: June 29, 2011
- Manuscript Accepted: July 18, 2011
- Published: August 15, 2011

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Abstract

We report on the observation of multiple third-harmonic conical waves generated in an annular periodically poled nonlinear photonic crystal. We show that the conical beams are formed as a result of the cascading effect involving two parametric processes that satisfy either the transverse and/or longitudinal phase-patching conditions. This is the first experimental observation of third-harmonic generation based on nonlinear Raman–Nath diffraction.

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Harmonic	Measurement	Theory	Step 1: SHG	Step 2: SFM
SH1[ $k_{2}^{(1)}$ ]	$5.75 °$	$5.74 °$	$\sin α_{1} = λ_{2} / n_{2} Λ$
SH2[ $k_{2}^{(4)}$ ]	$23.87 °$	$23.89 °$	$\sin α_{4} = 4 λ_{2} / n_{2} Λ$
TH1[ $k_{3}^{(4, - 1)}$ ]	$11.51 °$	${11.73}^{o}$	$k_{2}^{(4)}$	TPM: $\sin β_{4, - 1} = (m + n) λ_{3} / n_{3} Λ$ , $m = 4$ , $n = - 1$
TH2[ $k_{3}^{(4, 0)}$ ]	$15.64 °$	$15.66 °$	$k_{2}^{(4)}$	TPM: $\sin β_{4, 0} = (m + n) λ_{3} / n_{3} Λ$ , $m = 4$ , $n = 0$
TH3[ $k_{3}^{(4, 1)}$ ]	$19.51 °$	$19.67 °$	$k_{2}^{(4)}$	TPM: $\sin β_{4, 1} = (m + n) λ_{3} / n_{3} Λ$ , $m = 4$ , $n = 1$
TH4[ $k_{3}^{(1)}$ ]	$33.70 °$	$33.70 °$	$k_{2}^{(1)}$	LPM: $\cos β_{1} = (n_{1} + 2 n_{2} \cos α_{1}) / 3 n_{3}$
TH5[ $k_{3}^{(4)}$ ]	$39.30 °$	$39.84 °$	$k_{2}^{(4)}$	LPM: $\cos β_{4} = n_{1} / n_{3}$

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