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Nonlinear photonic crystals: I. Quadratic nonlinearity

Waves in Random Media, 2001
Summary: We develop a consistent mathematical theory of weakly nonlinear periodic dielectric media for the dimensions one, two and three. The theory is based on the Maxwell equations with classical quadratic and cubic constitutive relations. In particular, we give a complete classification of different nonlinear interactions between Floquet-Bloch modes
Babin, A., Figotin, A.
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Nonlinear Čerenkov Radiation in Nonlinear Photonic Crystal Waveguides

Physical Review Letters, 2008
We study nonlinear Cerenkov radiation generated from a nonlinear photonic crystal waveguide where the nonlinear susceptibility tensor is modulated by the ferroelectric domain. Nonlinear polarization driven by an incident light field may emit coherently harmonic waves at new frequencies along the direction of Cerenkov angles.
Y, Zhang   +4 more
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Crystals for nonlinear optics

Soviet Journal of Quantum Electronics, 1987
A review is given of nonlinear optical properties of seven biaxial crystals: KB5, DKB5, LFM, Ba2NaNb5O15, KTP, α-HIO3, and KNbO3. Typical applications of these crystals are listed. Formulas are given for the calculation of the phase-matching angles of biaxial crystals for the propagation of radiation in principal planes.
D N Nikogosyan, G G Gurzadyan
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Nonlinear photonic crystals

2003 Conference on Lasers and Electro-Optics Europe (CLEO/Europe 2003) (IEEE Cat. No.03TH8666), 2004
In this paper, we describe a theoretical approach by which we can qualitatively and quantitatively determine the nonlinear optical properties of a photonic crystals. We start by accurately characterizing the linear properties of the structure, using a recently developed multigrid method to efficiently compute the photonic bandstructure and Bloch ...
L. Tkeshelashvili   +4 more
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Crystals for Nonlinear Optics

Nonlinear Optical Properties of Materials, 1988
For a nonlinear optical crystal to be useful, optical nonlinearity is only one of many equally important properties that the material must have. In fact, large optical nonlinearity may be one of the easier material properties to predict and to have. Frequently, it is the other properties such as the mechanical, thermal, chemical, hygroscopic, linear ...
C. L. Tang   +3 more
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Novel nonlinear crystals

1993
The field of nonlinear optics, as we know it today, was born as a direct consequence of the invention of the laser in the early sixties. Nonlinear effects in electromagnetism had been observed as early as the late nineteenth century by Kerr, Rontgen, Kundt, and Pockels, and later by Raman in 1927 when he discovered spontaneous scattering of light into ...
M. Ebrahimzadeh, A. I. Ferguson
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Functionalizing nonlinear crystals

2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC, 2013
The most efficient nonlinear interaction in quasi phase-matched crystals occurs in periodic crystals when the interacting beams are Gaussian beams. The generated beams can be then routed, filtered or shaped by various elements - mirrors, lenses, pinholes, gratings, spatial light modulators, etc. In order to save space and cost, it is desired to combine
Asia Shapira   +3 more
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Heterostructure as a nonlinear crystal

Physics Letters A, 1992
Abstract The motion of an electron in the potential well of a heterostructure is considered. The cubic susceptibility of electrons in such a system in the presence of an electromagnetic field is calculated. The nonlinearity of the electron motion in the electromagnetic field is explained by the nonparabolic dependence of the energy on the quasi ...
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Applications of Nonlinear Crystals

1991
This chapter is devoted to applications of nonlinear crystals in nonlinear optical devices. It describes the generation of second and higher (up to sixth) optical harmonics of neodymium laser radiation, generation of optical harmonics of powerful wide-aperture neodymium glass laser radiation, generation of optical harmonics of other lasers (ruby, gas ...
Valentin G. Dmitriev   +2 more
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Mode conversion in quadratic nonlinear crystals

Optics Letters, 2008
We propose a novel all-optical, nonlinear mode-conversion scheme based on cascaded three-wave-mixing phase-matched interactions in quadratic nonlinear crystals. We demonstrate the method experimentally by performing all-optical mode conversion of an input 1636 nm Hermite-Gaussian mode from the zeroth order to the first order using two periodically ...
Tal, Ellenbogen, Ido, Dolev, Ady, Arie
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