Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap

Haderka

Sibilia³

et al. 2007

Phys. Rev. A

Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation at the surface is studied. Scattering of the interacting fields on the corrugation leads to constructive interference that enhances the nonlinear process provided that all the interactions are phase matched. Conditions for the overall phase matching are found. Compared with a perfectly quasi-phase-matched waveguide, better values of squeezing as well as higher intensities are reached under these conditions. Procedure for finding optimum values of parameters for squeezed-light generation is described.

Section: Introductionmentioning

confidence: 99%

Squeezed-light generation in a nonlinear planar waveguide with a periodic corrugation

Haderka

Sibilia³

et al. 2007

Phys. Rev. A

“…It has been shown that intense nonlinear processes can occur in such structures built up from nonlinear materials. For example, second harmonic and sub-harmonic generation has been predicted and also observed [3,4]. Advantages of these structures from the point of view of nonlinear interactions are based on high densities of local optical modes, on spatial localization of optical modes in confined regions of the structure and in convenient fulfilling of phase-matching conditions of a given nonlinear process.…”

Section: Introductionmentioning

confidence: 99%

<title>Nonclassical-light generation in a photonic-band-gap nonlinear planar waveguide</title>

Sibilia²,

Tricca

et al. 2005

SPIE Proceedings

Optical parametric process occurring in a photonic band-gap planar waveguide is studied from the point of view of nonclassical-light generation. Nonlinearly interacting optical fields are described by the generalized superposition of coherent signals and noise using the method of operator linear corrections to a classical strong solution. Scattered backward-propagating fields are taken into account. Squeezed light as well as light with sub-Poissonian statistics can be obtained in two-mode fields under the specified conditions.

“…Evolution of the nonlinearly-interacting quantum optical fields inside the waveguide is described by the following momentum operatorĜ [9,23]: [56][57][58][59]. On the other hand, the nonlinear coupling constants K nl,q (ω s , ω ′ s ) characterize the nonlinear interaction among co-propagating fields and obey the symme-…”

Section: Quantum Multi-mode Model Of Second-subharmonic Generationmentioning

confidence: 99%

Pulsed-squeezed-light generation in a waveguide with second-subharmonic generation and periodic corrugation

2013

Phys. Rev. A

*Quantum pulsed second-subharmonic generation in a planar waveguide with a small periodic corrugation at the surface is studied. Back-scattering of the interacting fields on the corrugation enhances the nonlinear interaction giving larger values of squeezing. The problem of back-scattering is treated by perturbation theory, using the Fourier transform for non-dispersion propagation, and by numerical approach in the general case. Optimum spectral modes for squeezed-light generation are found using the Bloch-Messiah reduction. Improvement in squeezing and increase of numbers of generated photons are quantified for the corrugation resonating with the fundamental and secondsubharmonic field. Splitting of the generated pulse by the corrugation is predicted.