Multistep parametric processes in nonlinear optics

Saltiel, S.; Sukhorukov, Andrey A.; Kivshar, Yuri S.

doi:10.1016/s0079-6638(05)47001-8

Cited by 96 publications

(71 citation statements)

References 216 publications

(293 reference statements)

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“…Cascaded nonlinearities can be modelled by the standard theory of the χ (2) -mediated three-wave mixing described in detail in several books on nonlinear optics (Shen [1984]; Butcher and Cotter [1992]; Boyd [1992]), including more complex multistep parametric processes in quadratic media (Saltiel, Sukhorukov, and Kivshar [2004]). A comprehensive review on optical quadratic solitons was published by Buryak, Di Trapani, Skryabin, and Trillo [2002], and can be also found in a recent book by Kivshar and Agrawal [2003].…”

Section: Partially Coherent Vorticesmentioning

confidence: 99%

Optical vortices and vortex solitons

2005

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Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and Bose-Einstein condensates. We present a brief overview of the major advances in the study of optical vortices in different types of nonlinear media, with emphasis on the properties of vortex solitons. Self-focusing nonlinearity leads, in general, to the azimuthal instability of a vortex-carrying beam, but it can also support novel types of stable or meta-stable self-trapped beams carrying nonzero angular momentum, such as ring-like solitons, necklace beams, and soliton clusters. We describe vortex solitons created by multi-component beams, by parametrically coupled beams in quadratic nonlinear media, and in partially incoherent light, as well as discrete vortex solitons in periodic photonic lattices.

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Section: Partially Coherent Vorticesmentioning

confidence: 99%

Optical vortices and vortex solitons

2005

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“…Moreover, it was shown in [45] that such a device of length v is more efficient than three periodic NLPCs (with length of va3 for each period). The ability to shape the spectrum using different motifs can be further extended for cascaded processes [49]. For example, we can consider a third harmonic generation process, consisting of two cascaded processes of second harmonic generation 3 + 3 = 23 and sum frequency generation 3 + 23 = 33.…”

Section: One-dimensional Design Of Quasi-periodic Nlpcmentioning

confidence: 99%

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

Arie¹,

Voloch

2010

Laser & Photonics Reviews

188

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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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“…Cascaded processes involving successive SHG and sum-frequency generation (SFG) in a single QPM crystal can be used to create THG. [10][11][12][13][14] In practice, in addition to a broad bandwidth, high conversion efficiency is also desired. However, there is a tradeoff between conversion efficiency and bandwidth.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous broadband generation of second and third harmonics from chirped nonlinear photonic crystals

et al. 2014

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Ultrabroadband laser sources are highly desirable in a wide variety of modern science disciplines ranging from physics, chemistry and materials science to information communications and processing. Here we present the design and fabrication of a chirped periodically poled lithium niobate (CPPLN) nonlinear photonic crystal that supports multiple orders of quasiphase matching with finite bandwidth and allows for the simultaneous broadband generation of second and third harmonics with high conversion efficiency. Moreover, the chirp rate has a significant influence on the conversion efficiency and bandwidth. The CPPLN scheme offers a promising approach for the construction of short-wavelength laser sources and enables the generation of the three primary colors-red, green and blue-from a single crystal, which may have potential applications in large-screen laser displays. Keywords: chirped periodically poled lithium niobate; quasiphase matching; second-harmonic generation; third-harmonic generation INTRODUCTION Ultrabroadband laser sources are highly desirable in a wide variety of modern science disciplines ranging from physics, chemistry and materials science to information communications and processing. Laser gain media that are capable of short-pulse generation are available but limited, and they cover only a small portion of the optical spectrum. Shortly after the creation of the first laser in 1960, the door to nonlinear optics was opened because of the discovery of second-harmonic generation (SHG).1 Broad-bandwidth and high-conversion-efficiency SHG, third-harmonic generation (THG), higher-order-harmonic generation and various frequency-mixing and parametric-conversion processes have all provided fascinating routes toward the considerable expansion of the spectral range of laser sources.To realize high-efficiency SHG, THG and other optical parametric processes, nonlinear optical materials are required to simultaneously satisfy the phase-matching condition and possess large nonlinear optical coefficients in the phase-matching direction. Although many natural nonlinear crystals have large nonlinear coefficients in certain directions, proper phase matching cannot always be achieved because of the dispersion of the material. Thus, the optical birefringent properties of certain birefringent nonlinear crystals are often utilized to compensate for the material dispersion and achieve phase matching. However, the stringent conditions for birefringent phase matching greatly limit the extension of the optical frequency. As an alternative approach, quasiphase matching (QPM), which was first proposed in 1962, 2 launched a new era in nonlinear optics because of several advantages it offers over conventional birefringence phase matching in the frequency-conversion process. These advantages include phase matching in materials that have high nonlinear optical coefficients but

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Multistep parametric processes in nonlinear optics

Cited by 96 publications

References 216 publications

Optical vortices and vortex solitons

Optical vortices and vortex solitons

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

Simultaneous broadband generation of second and third harmonics from chirped nonlinear photonic crystals

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