Enhanced second-harmonic generation in media with a weak periodicity

Haus, Joseph W.; Viswanathan, R.; Scalora, Michael; Kalocsai, Andre G.; Cole, J. D.; Theimer, James P.

doi:10.1103/physreva.57.2120

Cited by 67 publications

(41 citation statements)

References 24 publications

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“…[15][16][17][18][19] This additional term n2/R is to be expected, because only the crystal momentum, instead of the true photon momentum, is conserved in the CROW.…”

Section: Shg In the Crowmentioning

confidence: 99%

“…Next, the average frequency ⍀ 1 of mode E 1 (r) is obtained from Eq. (18). Subsequently, we can use E 1 (r) and ⍀ 1 as the field distribution and the mode frequency and resume the iteration.…”

Section: Fdtd Simulation Of the Crowmentioning

confidence: 99%

“…[15][16][17][18][19][20][21][22] In photonic crystals, it has been shown that the second-harmonic field can be enhanced at the band edge of the photonic crystals, where the group velocity tends to zero. [15][16][17][18] In the case of defect cavities, the enhancement of SHG efficiency is achieved as a result of the large optical field amplitude of the localized defect-cavity modes. [20][21][22] However, both of the two properties, low group velocity and large optical field amplitude, can be simultaneously achieved in the CROW.…”

Section: Introductionmentioning

confidence: 99%

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Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide

2000

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Using both the tight-binding approximation and the finite-difference time domain method, we analyze two types of coupled-resonator optical waveguide (CROW), a coupled-microdisks waveguide and a waveguide composed of coupled defect cavities in a two-dimensional photonic crystal. We find that the dispersion relation of the CROW band can be simply described by a small coupling parameter , and the spatial characteristics of the CROW modes remain the same as those of the single-resonator high Q modes. As applications of these unique properties, we demonstrate that CROW's can be utilized in constructing waveguides without cross talk and enhance the efficiency of second-harmonic generation.

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“…[15][16][17][18][19] This additional term n2/R is to be expected, because only the crystal momentum, instead of the true photon momentum, is conserved in the CROW.…”

Section: Shg In the Crowmentioning

confidence: 99%

Section: Fdtd Simulation Of the Crowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide

2000

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“…The greatest increase of electric-field amplitudes inside the waveguide occurs under the condition of transparency for the incoming field [21]. We note that this property also occurs in layered structures with band-gaps and transmission peaks where the field is well localized inside the structure provided that it lies in a transmission peak [26].…”

Section: Suitable Conditions For Squeezed-light Generationmentioning

confidence: 65%

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

Peřina

Haderka

Sibilia³

et al. 2007

Phys. Rev. A

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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.

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“…Additional spatial modulation can also be introduced in a simpler geometry using a linear periodic corrugation at or below the waveguide surface [24,25]. Back-scattering occurring at the corrugation modifies electric-field amplitudes of the nonlinearly interacting fields which results in the enhancement of effective nonlinearity under suitable conditions [26][27][28]. Back-scattering on a periodic corrugation has already been exploited for cw squeezed-light generation both in the process of second-harmonic [29] and second-subharmonic generation [28].…”

Section: Introductionmentioning

confidence: 99%

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

Peřina

2013

Phys. Rev. A

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*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.

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Enhanced second-harmonic generation in media with a weak periodicity

Cited by 67 publications

References 24 publications

Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide

Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide

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

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

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