Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Suppression of quadratic cascading in four-photon interactions using periodically poled media

J. P. Fève, Benoı̂t Boulanger

Published Jun 17, 2002• 8 citations
Publisher

Abstract

We demonstrate theoretically that periodically poled materials with a suitable poling period can strongly reduce all ${\ensuremath{\chi}}^{(2)}:{\ensuremath{\chi}}^{(2)}$ cascading during ${\ensuremath{\chi}}^{(3)}$ third-harmonic generation and optical parametric amplification in noncentrosymmetric crystals: the calculated reduction is, respectively, 3 and 6 orders of magnitude along the X axis of ${\mathrm{KTiOPO}}_{4}.$ This is then an original and promising way to achieve efficient pure cubic optical frequency conversion, for the study of three-photon quantum properties.

DOI
10.1103/physreva.65.063814

Related papers

Calculated suppression of cascading quadratic processes in cubic third harmonic generation using periodically poled media

J. P. Fève, Benoı̂t Boulanger

Summary form only given. The experimental study of three-photon quantum correlations, which lead to new non-classical photon states, would require an efficient four-wave parametric interaction. The interest for non-centrosymmetric crystals still remains important because, up to now no phase-matching condition has been found in centrosymmetric crystals at wavelengths of interest for quantum optical measurements. In this paper, we demonstrate that the cascading quadratic interactions can be suppressed by using a periodically poled KTP crystal with the proper period.

Conference on Lasers and Electro-Optics•Jan 1, 2001•1 citation

Каскадная генерация второй гармоники с половинным порядком периодической ориентации

В.Ю. Мыльников, Н.С. Аверкиев, Г.С. Соколовский

We theoretically demonstrate cascaded fourth and second harmonic generation in a periodically-poled nonlinear crystal with a half-order of phase-matching period. We consider a cascaded process in which four photons of the fundamental harmonic firstly convert into an intermediate photon of the fourth harmonic, which parametrically decays into two photons of the second harmonic at the second stage. Phase-matching for this cascaded nonlinear conversion is provided by using an asymmetric periodical poling. We use the quantum spatial Heisenberg equations to describe light propagation and conversion inside the nonlinear crystal. With this approach, we calculate second and fourth harmonic average number of photons as a function of the nonlinear crystal length.

Журнал технической физики•Jan 1, 2020•0 citations

Efficient energy conversion for cubic third-harmonic generation that is phase matched in KTiOPO_4

J. P. Fève, Benoı̂t Boulanger, Yannick Guillien

We demonstrate, for the first time to our knowledge, that efficient third-harmonic generation can be achieved with a cubic contribution much larger than the quadratic processes. An energy-conversion efficiency of 2.4% is achieved for cubic third-harmonic generation that is phase matched along the x axis of a KTiOPO(4) crystal by use of a picosecond fundamental laser emitting at 1618 nm. The associated cascading processes are only 10% of the pure cubic interaction, which is very suitable for study of the specific quantum optical correlations. Calculations of the third-harmonic generation conversion efficiency with respect to group-velocity dispersion and to the longitudinal Gaussian beam profile account well for our experimental results.

Optics Letters•Sep 15, 2000•36 citations

Twin-beam Optical Parametric Generation and Cascaded Processes in Hexagonally Poled Nonlinear Lattices

Katia Gallo, Martin Levenius, Matteo Conforti

We review recent experimental and theoretical progress in the study of optical parametric generation and cascaded frequency up conversion in two-dimensional purely nonlinear lattices, relying on acoherent coupling of multiple resonances in the quadratic lattice. Since their original proposal (1), two dimensional (2D) nonlinear photonic crystals in periodically poled materials have been the subject of a number of experimental and theoretical investigations, exploring the enhanced possibilities to engineer the nonlinear dynamics of quadratic interactions afiorded in such structures (2,3). Most of the studies have concerned frequency up-conversion, until the recent demonstration of twin-beam optical parametric generation (TB-OPG) in 2D hexagonally poled crystals (4,5). TB-OPG experiments in hexagonally poled MgO:LiTaO3 lattices demonstrated enhanced para- metric gains as well as a rich spectral and angular response underpinned bythe coherent coupling of concurrent nonlinear processes throughshared signal or idlermodes. They provided evidence forrich interaction scenarios, generating multiple outputs in the infrared as well in the visible and encompassing also self-phase modulation and cascaded upconversion processes arising from the interplay of multiple lattice resonances.A good agreement was found with a simple model in- volving the cross-seeding of two non-collinear OPG processes via a common signal (idler), while the development of advanced ad-hoc simulation tools enabled to fully account for the complex nonlinear dynamics in the 2D lattices and faithfully reproduce the rich spectral-angular response seen in the experiments (6).

•Jan 1, 2015•0 citations

Numerical Investigation of Photon-Pair Generation in Periodically Poled MTiOXO4 ( M=K , Rb, Cs; X=P , As)

Fabian Laudenbach, Rui-Bo Jin, Chiara Greganti +3 more

Photonic entanglement and heralded single photons are vital for optical quantum information processing, and are realized by spontaneous parametric down-conversion (SPDC) in chiefly just two materials: LiNbO${}_{3}$ and KTiOPO${}_{4}$. The particular properties of these materials, however, strongly restrict advanced techniques. Thus the authors study four other nonlinear optical materials, plus KTiOPO${}_{4}$, and configurations in which they can be used to generate pure photon states and entanglement of polarization or frequency. The team finds a broad variety of promising SPDC setups that are impossible to implement using the traditional materials.

arXiv:1706.04559•Physical Review Applied•Aug 31, 2017•21 citations

Cascaded Second Harmonic Generation with a Half-Order Periodical Orientation

Valentin Yu. Mylnikov, Nikita S. Averkiev, Grigorii S. Sokolovskii

Abstract We demonstrate theoretically cascaded fourth and second harmonics generation in a periodically oriented nonlinear crystal with a half-order of the periodical orientation. We consider a cascaded process in which four photons of the fundamental harmonic are initially converted into an intermediate photon of the fourth harmonic, which parametrically decays at the second stage into two photons of the second harmonic. We show that fractional phase matching can be achieved by using an asymmetric periodically poled grating. To describe the propagation and transformation of light inside a nonlinear crystal, the quantum spatial Heisenberg equations have been applied, using which the average numbers of photons of the fourth and second harmonics have been calculated as functions of the nonlinear crystal length.

Optics and Spectroscopy•Nov 1, 2020•1 citation
We demonstrate theoretically that periodically poled materials with a suitable poling period can strongly reduce all \ensuremathχ(2):\ensuremathχ(2){\ensuremath{\chi}}^{(2)}:{\ensuremath{\chi}}^{(2)}\ensuremathχ(2):\ensuremathχ(2) cascading during \ensuremathχ(3){\ensuremath{\chi}}^{(3)}\ensuremathχ(3) third-harmonic generation and optical parametric amplification in noncentrosymmetric crystals: the calculated reduction is, respectively, 3 and 6 orders of magnitude along the X axis of KTiOPO4.{\mathrm{KTiOPO}}_{4}.KTiOPO4​. This is then an original and promising way to achieve efficient pure cubic optical frequency conversion, for the study of three-photon quantum properties.
Summary form only given. The experimental study of three-photon quantum correlations, which lead to new non-classical photon states, would require an efficient four-wave parametric interaction. The interest for non-centrosymmetric crystals still remains important because, up to now no phase-matching condition has been found in centrosymmetric crystals at wavelengths of interest for quantum optical measurements. In this paper, we demonstrate that the cascading quadratic interactions can be suppressed by using a periodically poled KTP crystal with the proper period.
We theoretically demonstrate cascaded fourth and second harmonic generation in a periodically-poled nonlinear crystal with a half-order of phase-matching period. We consider a cascaded process in which four photons of the fundamental harmonic firstly convert into an intermediate photon of the fourth harmonic, which parametrically decays into two photons of the second harmonic at the second stage. Phase-matching for this cascaded nonlinear conversion is provided by using an asymmetric periodical poling. We use the quantum spatial Heisenberg equations to describe light propagation and conversion inside the nonlinear crystal. With this approach, we calculate second and fourth harmonic average number of photons as a function of the nonlinear crystal length.
We demonstrate, for the first time to our knowledge, that efficient third-harmonic generation can be achieved with a cubic contribution much larger than the quadratic processes. An energy-conversion efficiency of 2.4% is achieved for cubic third-harmonic generation that is phase matched along the x axis of a KTiOPO(4) crystal by use of a picosecond fundamental laser emitting at 1618 nm. The associated cascading processes are only 10% of the pure cubic interaction, which is very suitable for study of the specific quantum optical correlations. Calculations of the third-harmonic generation conversion efficiency with respect to group-velocity dispersion and to the longitudinal Gaussian beam profile account well for our experimental results.
We review recent experimental and theoretical progress in the study of optical parametric generation and cascaded frequency up conversion in two-dimensional purely nonlinear lattices, relying on acoherent coupling of multiple resonances in the quadratic lattice. Since their original proposal (1), two dimensional (2D) nonlinear photonic crystals in periodically poled materials have been the subject of a number of experimental and theoretical investigations, exploring the enhanced possibilities to engineer the nonlinear dynamics of quadratic interactions afiorded in such structures (2,3). Most of the studies have concerned frequency up-conversion, until the recent demonstration of twin-beam optical parametric generation (TB-OPG) in 2D hexagonally poled crystals (4,5). TB-OPG experiments in hexagonally poled MgO:LiTaO3 lattices demonstrated enhanced para- metric gains as well as a rich spectral and angular response underpinned bythe coherent coupling of concurrent nonlinear processes throughshared signal or idlermodes. They provided evidence forrich interaction scenarios, generating multiple outputs in the infrared as well in the visible and encompassing also self-phase modulation and cascaded upconversion processes arising from the interplay of multiple lattice resonances.A good agreement was found with a simple model in- volving the cross-seeding of two non-collinear OPG processes via a common signal (idler), while the development of advanced ad-hoc simulation tools enabled to fully account for the complex nonlinear dynamics in the 2D lattices and faithfully reproduce the rich spectral-angular response seen in the experiments (6).
Photonic entanglement and heralded single photons are vital for optical quantum information processing, and are realized by spontaneous parametric down-conversion (SPDC) in chiefly just two materials: LiNbO3{}_{3}3​ and KTiOPO4{}_{4}4​. The particular properties of these materials, however, strongly restrict advanced techniques. Thus the authors study four other nonlinear optical materials, plus KTiOPO4{}_{4}4​, and configurations in which they can be used to generate pure photon states and entanglement of polarization or frequency. The team finds a broad variety of promising SPDC setups that are impossible to implement using the traditional materials.
Abstract We demonstrate theoretically cascaded fourth and second harmonics generation in a periodically oriented nonlinear crystal with a half-order of the periodical orientation. We consider a cascaded process in which four photons of the fundamental harmonic are initially converted into an intermediate photon of the fourth harmonic, which parametrically decays at the second stage into two photons of the second harmonic. We show that fractional phase matching can be achieved by using an asymmetric periodically poled grating. To describe the propagation and transformation of light inside a nonlinear crystal, the quantum spatial Heisenberg equations have been applied, using which the average numbers of photons of the fourth and second harmonics have been calculated as functions of the nonlinear crystal length.