Wave interactions in photonic band structures: an overview

Bertolotti, M.

doi:10.1088/1464-4258/8/4/s02

Cited by 52 publications

(33 citation statements)

References 204 publications

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“…7(a)]. This is in accordance with the effect of light concentration in low refractive index regions of photonic crystal for radiation tuned to high-frequency side of re- flection spectrum [2] as it is in the case considered (see the inset in Fig. 2).…”

Section: Physical Mechanism Of Pulse Trappingsupporting

confidence: 81%

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Novitsky

2010

Phys. Rev. A

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We theoretically study the effect of pulse trapping inside one-dimensional photonic crystal with relaxing cubic nonlinearity. We analyze dependence of light localization on pulse intensity and explain its physical mechanism as connected with formation of dynamical nonlinear cavity inside the structure. We search for the range of optimal values of parameters (relaxation time and pulse duration) and show that pulse trapping can be observed only for positive nonlinearity coefficients. We suppose that this effect can be useful for realization of optical memory and limiting.

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Section: Physical Mechanism Of Pulse Trappingsupporting

confidence: 81%

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Novitsky

2010

Phys. Rev. A

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“…Moreover, from (3.60) one infers that the effective nonlinearity in a PBG material may be enhanced or suppressed relative to the nonlinear response of a homogeneous material. This is due to the fact that the Bloch functions do not uniformly distribute the electric field amplitude between the constituent materials of the photonic crystal [294]. Indeed, as demonstrated experimentally in Ref.…”

Section: Centro-symmetric Constituent Materialsmentioning

confidence: 97%

Periodic nanostructures for photonics

et al. 2007

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Periodic nanostructures in photonics facilitate a far-reaching control of light propagation and light-matter interaction. This article reviews the current status of this subject, including both recent progress and well-established results. The primary focus is on the basic physical principles and potential applications associated with the existence of Bragg scattering, photonic band structures, and engineered effective-medium properties in periodic dielectric and metallo-dielectric systems. In addition, we discuss advantages and limitations of various theoretical and numerical approaches as well as of those fabrication techniques that have specifically been developed for this field.

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“…Furthermore, one dimensional photonic crystals in which both the linear and the secondorder nonlinear susceptibilities are modulated have been analyzed [2,22,23]. Two dimensional and three dimensional photonic crystals with modulated second order nonlinearity were reviewed in [24]. However, since the common techniques for modulating the second order nonlinearity (e.g.…”

Section: Introductionmentioning

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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Wave interactions in photonic band structures: an overview

Cited by 52 publications

References 204 publications

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Periodic nanostructures for photonics

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

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