Nonlinear physical optics with transversely patterned quasi-phase-matching gratings

Kurz, J.R.; Schober, Andrew; Hum, David S.; Saltzman, Ashley J.; Fejer, M. M.

doi:10.1109/jstqe.2002.1016370

Cited by 49 publications

(29 citation statements)

References 6 publications

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“…In this subsection we consider a different aspect that is enabled by these devices, namely the possibility to transform the spatial properties of optical beams. Two dimensional modulation of the nonlinear coefficient enables to control the phase and amplitude of the second harmonic wave along the transverse coordinate [62]. This enables to engineer the wavefront of the second harmonic wave [63].…”

Section: Nonlinear Photonic Crystals For Beam Transformationmentioning

confidence: 99%

Periodic, quasi‐periodic, and random quadratic nonlinear photonic crystals

Arie¹,

Voloch

2010

Laser & Photonics Reviews

183

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Quadratic nonlinear photonic crystals are materials in which the second order susceptibility is spatially modulated while the linear susceptibility remains constant. These structures are significantly different than the more common photonic crystals, in which the linear susceptibility is modulated. Nonlinear processes in nonlinear photonic crystals are governed by the phase matching requirements, which are determined by the reciprocal lattice of these crystals. Therefore, the modulation of the nonlinear susceptibility enables to engineer the spatial and spectral response in various three-wave mixing processes. It enables to support the efficient generation of new optical frequencies at multiple directions. We analyze three wave mixing processes in nonlinear photonic crystals in which the modulation is either periodic, quasi-periodic, radially symmetric or even random. We discuss both one-dimensional and two-dimensional modulations. In addition to harmonic generations, we outline several new possibilities for all-optical control of the spatial and polarization properties of optical beams in specially designed nonlinear photonic crystals.Some examples of nonlinear photonic crystals. Top line: 2D Periodic crystals; center line: 1D quasi-periodic crystals, symmetric and anti-symmetric all-optical deflectors; bottom line: radially symmetric structures.

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Section: Nonlinear Photonic Crystals For Beam Transformationmentioning

confidence: 99%

Periodic, quasi‐periodic, and random quadratic nonlinear photonic crystals

Arie¹,

Voloch

2010

Laser & Photonics Reviews

183

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“…Thus, this is the quantum version 17 of the classical results. 16 Engineered QPM patterns offer promising possibilities to tailor the spatial shape of the probability amplitude, so that the correlations between the output photons can be severely manipulated. The transverse pattern shown in Fig.…”

Section: Spatial Entanglement In Transversally Patterned Quasi-phase-mentioning

confidence: 99%

Quantum state engineering for spatial control of entangled photon pairs

Torres

Torner

2005

SPIE Proceedings

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The two-photon state generated by spontaneous parametric down-conversion (SPDC) exhibit spatial entanglement embedded in the corresponding mode function. The control of the spatial characteristics of the generated two-photon state is an issue of paramount importance. For example, the spatial entanglement of the two down converted photons forms the basis of quantum imaging, and entanglement in orbital angular momentum has opened a new scenario for implementing multidimensional Hilbert spaces. We put forward several techniques to engineer the spatial structure of entangled two-photon states generated in SPDC. The first strategy we consider for spatial control of the quantum state makes use of the direct manipulation of the pump beam. This technique makes feasible to prepare arbitrary engineered entangled states in any d-dimensional Hilbert space. The second strategy is based on the proper preparation of the downconverting crystal itself, namely quantum state manipulation by quasi-phase-matching (QPM) engineering. We use properly designed transversely varying QPM gratings in nonlinear crystals.

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“…[6][7][8] The sign of χ (2) in such a crystal is modulated by reversing the orientation of ferroelectric domain according to some sequence. The motivation for such a modulation is to achieve either a significant enhancement of nonlinear frequency conversion efficiency by QPM, [9][10][11] or a required wavefront of the parametric wave by nonlinear Huggens-Fresnel principle, [12][13][14] or for both. In history, the study for the domain modulation in a ferroelectric crystal was extended from 1D to 2D, 5,15 from periodic to quasi-periodic, 10,11,16,17 aperiodic, 18,19 even more complicated structures.…”

Section: Introductionmentioning

confidence: 99%

“…In history, the study for the domain modulation in a ferroelectric crystal was extended from 1D to 2D, 5,15 from periodic to quasi-periodic, 10,11,16,17 aperiodic, 18,19 even more complicated structures. [12][13][14] Many novel nonlinear phenomena, such as third harmonic generation, 10 nonlinear light scattering, 20,21 nonlinear Cerenkov radiation, 22 nonlinear Talbot effect 23,24 etc. were discovered from such artificial materials.…”

Section: Introductionmentioning

confidence: 99%

Review Article: Quasi-phase-matching engineering of entangled photons

Zhu

2012

AIP Advances

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Quasi-phase-matching (QPM) technique has been successfully applied in nonlinear optics, such as optical frequency conversion. Recently, remarkable advances have been made in the QPM generation and manipulation of photon entanglement. In this paper, we review the current progresses in the QPM engineering of entangled photons, which are finished mainly by our group. By the design of concurrent QPM processes insides a single nonlinear optical crystal, the spectrum of entangled photons can be extended or shaped on demand, also the spatial entanglement can be transformed by transverse inhomogeneity of domain modulation, resulting in new applications in path-entanglement, quantum Talbot effects, quantum imaging etc. Combined with waveguide structures and the electro-optic effect, the entangled photons can be generated, then guided and phase-controlled within a single QPM crystal chip. QPM devices can act as a key ingredient in integrated quantum information processing

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Nonlinear physical optics with transversely patterned quasi-phase-matching gratings

Cited by 49 publications

References 6 publications

Periodic, quasi‐periodic, and random quadratic nonlinear photonic crystals

Periodic, quasi‐periodic, and random quadratic nonlinear photonic crystals

Quantum state engineering for spatial control of entangled photon pairs

Review Article: Quasi-phase-matching engineering of entangled photons

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