Second-harmonic generation with monolithic walk-off-compensating periodic structures. I. Theory

Jean Jacques Zondy, Christophe Bonnin, Dominique Lupinski

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Second-harmonic generation in a periodic structure made from N pairs of optically contacted, birefringence phase-matched, walk-off-compensating bulk plates is theoretically investigated. In the undepleted-pump approximation, analytical (heuristic) expressions for conversion efficiency versus N are derived for both type I and type II phase matching. An explicit split-step beam propagation scheme that solves exactly the coupled paraxial-wave equations is used to check the validity of the heuristic results. For type II, stronger conversion enhancement than for bulk crystal is predicted in the low-depletion regime, whereas for type I such structures avoid harmonic beam ellipticity. The periodic structures are found to behave as nonlinear harmonic birefringent filters because of the presence of periodic wave-vector mismatch grating ±Δk that results from walk-off compensation. The effect of periodicity imperfections, such as residual plate orientation mismatches, was found to be responsible for broadening of the tuning bandwidth in walk-off-compensating devices.

Original languageEnglish
Pages (from-to)1675-1694
Number of pages20
JournalJournal of the Optical Society of America B: Optical Physics
Volume20
Issue number8
Publication statusPublished - 2003
Externally publishedYes

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harmonic generations
birefringent filters
harmonics
ellipticity
phase matching
wave equations
birefringence
periodic variations
depletion
tuning
gratings
pumps
bandwidth
propagation
augmentation
defects
approximation
crystals

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Second-harmonic generation with monolithic walk-off-compensating periodic structures. I. Theory. / Zondy, Jean Jacques; Bonnin, Christophe; Lupinski, Dominique.

In: Journal of the Optical Society of America B: Optical Physics, Vol. 20, No. 8, 2003, p. 1675-1694.

Research output: Contribution to journalArticle

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