G. D. Hovhannisyan

Theoretical investigation and computational modeling of the difference frequency generation by interaction of few cycle laser pulses in a GaAs crystal

We present the results of theoretical studies of the generation process of difference frequency radiation arising via interaction of mutually orthogonal linearly polarized few-cycle laser pulses propagating in an isotropic nonlinear medium. Numerical time-integration by the finite-difference method of nonlinear Maxwell-equation systems has been performed. We consider the interaction of pulses having the central wavelengths of 1.98 and 1.55 µm, duration of 30 fs with the corresponding electric field amplitudes of 295 × 106 and 463 × 106 V m−1, propagating along the normal to the ⟨110⟩ plane in 854 µm thickness of GaAs crystal. The process of difference frequency pulse formation arising via spectral filtration of a supercontinuum formed in the spectra of pump pulses at the output of a nonlinear crystal is studied.

Summary and difference frequency radiation generation in the field of few-cycle laser pulse propagating in GaSe

The results of numerical study of the generation process of summary and difference frequency radiations (SFR and DFR) arising via interaction of linearly polarized a few cycle laser pulses propagating in a GaSe crystal is present. The interaction of pulse having the central wavelengths of 1.98 μm, duration of 30 fs with the electric field amplitude 100 MV/m, propagating along the optical axis is considered. The thickness of GaSe crystal in numerical simulations is 198 μm. For study the pulse dynamic spectrum evolution the smoothed pseudo Wigner distribution (SPWVD) transformation was applied. In order to increase the time and frequency resolution of the pulse dynamic spectrum the Mexican-hat wavelet based continuous wavelet transform (CWT) was applied. The dependences of SFR and DFR generation efficiency versus propagation distance inside of crystal at fixed values of initial pump pulse amplitude 10, 50 and 100 MV/m are obtained. The SFR and DFR generation efficiency dependences versus initial pump pulse amplitude are obtained. It’s shown that the maximum values of SFR and DFR generation efficiencies at initial pump pulse amplitude 100 MV/m are 4.8 × 10−3% and 2.7 × 10−3% respectively.

Generation of difference-frequency radiation in GaAs in the field of a few-cycle laser pulse in the regime of weakly expressed chromatic dispersion

We derive a system of coupled modified Korteweg-de Vries equations in the approximation of unidirectional waves which describe the evolution of electric fields of mutually-orthogonal linearly polarized laser pulses with duration of several optical oscillations in a nonlinear crystal with quadratic nonlinearity in the regime of weakly expressed chromatic dispersion. An isotropic GaAs crystal is considered as a nonlinear crystal, and the direction of propagation of interacting pulses is assumed to coincide with the normal to the 〈110〉 plane of the crystal. The derived system of equations was solved numerically by the finite difference method. We obtained the dependence of the relative shift of the central wavelength of pumping pulse spectrum on the distance travelled. It is shown that the decrease in the crystal thickness down to values commensurate with the coherence length of difference-frequency radiation leads to an increase in conversion efficiency. In particular, it is shown that the efficiency of difference-frequency generation at 4.1 μm and 10 μm for the 30 fs duration of pumping at 1.98 μm and the 100 MV/m amplitude of the electric field is −51 dB and −14 dB, respectively.

Modeling of difference frequency radiation energy redistribution process in a spectrum of laser pulse of a few optical cycles propagating in a quasi-phase-matching GaAs crystal

We present the results of a numerical study of the generation process of difference frequency radiation (DFR) arising via the interaction of mutually orthogonal linearly- polarized few-cycle laser pulses propagating in a quasi-phase-matching (QPM) GaAs crystal. Considered the interaction of pulses having the central wavelengths of 1.98 µm, duration of 30 fs with the electric field amplitude 200 MV/m, propagating along the normal to the ⟨110⟩ plane. The period Λ of the QPM GaAs crystal in numerical simulations varied from 20.89 µm to 53.23 µm. It is shown that by changing the grating period of the QPM GaAs crystal from 23.02 µm to 37.29 µm it is possible to improve the efficiency of QPM generation of DFR in the 5.48 µm – 10.12 µm spectral range at least by 8 dB in comparison with the generation of DFR in bulk crystal GaAs in the same spectral range.

Dynamics of difference frequency radiation generation in the field of few-cycle laser pulse propagating in GaAs crystal with domain structure

We consider the process of generation of difference frequency in a GaAs crystal with periodic domain structure during propagation of a few-cycle laser pulse in the crystal in the regime of weakly expressed chromatic dispersion. Method of lines is used to obtain numerical solution to the system of coupled nonlinear differential equations in partial derivatives describing the evolution of the electric field of a few-cycle laser pulse in GaAs crystal both with periodic and aperiodic domain structure. It is shown that employing GaAs crystal with domain structure allows controlling the instantaneous frequency of broadband pulse radiation at difference frequency.

Difference frequency generation by optical rectification of femtosecond laser pulse in GaAs crystal with a periodic domain structure

We study the influence of spatial boundedness of a femtosecond laser pulse (FLP) on the efficiency of generation of difference frequency radiation (DFR) in a GaAs crystal with a periodic domain structure. It is shown that at propagation of DFR a spectral-angular filtration occurs in the transverse distribution of the beam. An expression is obtained for the frequency-angular spectrum of DFR. For a pump pulse with the duration of 100 fs, the beam radius of 24μm, the energy of 30 nJ, and the wavelength of 1.98μm propagating in 1.716-mm long GaAs crystal with the domain structure period of 74.6μm the efficiency of generation of DFR at the wavelength of 14μm is calculated to be close to 2×10−6.

Numerical simulation of propagation of a femtosecond optical soliton in a single-mode fiber with allowance for the imaginary part of Raman response

We consider the effect of Raman inertial response of a medium on the stability of a first-order femtosecond soliton. Numerical solution to the high-order nonlinear Schrödinger equation, with the complex Raman term, describing propagation of a femtosecond optical soliton in a single-mode fiber, is obtained. It is shown that a soliton solution of the high-order nonlinear Schrödinger equation exists under certain conditions imposed on the equation coefficients. These conditions lead to limitations on the wavelength, fiber type, and the highest energy. Results of numerical solutions are in agreement with available experimental data.

Pulse compression of difference frequency radiation by liquid crystal phase transparent

The results of theoretical research and numerical simulation of the difference frequency radiation (DFR) pulse generation in 5–25 μm wavelength range in the field of the pumping femtosecond laser pulse are presented. The pulse has the following characteristics: the central wavelength is 2 μm, duration is 34 fs and electric field amplitude is 70.71 MV/m. The pulse propagates in the ZnTe/air periodic structure with the number of periods along the normal to the (110) plane of the ZnTe crystal equal to 13; and the efficiency of the DFR generation is 1.11 × 10–4. It is shown that the use of the liquid crystal phase transparent, placed in the focal plane of the frequencyspatial shaping system, allows one to realize the DFR pulse compression at which the maximum intensity is increased by a factor of six.

The effect of phase difference of subpicosecond IR laser pulses propagating in a GaAs/ZnTe periodic structure on the efficiency of generation of the sum and difference frequencies radiations

The results of theoretical research and numerical simulation of the nonlinear interaction process of mutually orthogonal and linearly polarized IR subpicosecond laser pulses with the one-dimensional periodic structure of the GaAs/ZnTe are presented. In particular, the interaction of such pulses with the equal amplitude electric field of 70.71 MV/m, with the duration of 333 fs at the central wavelength λ0 = 10 μm, with the periodic structure of the GaAs and the ZnTe with the thickness of layers equal to λ0/2nGaAs = 1.527 μm and λ0/4nZnTe = 0.931 μm, respectively, and with the number of periods equal to 100 is considered. It is shown that the efficiency of generation of sum and difference frequencies is proportional to the phase difference of the interacting IR pump pulses.

2D simulation of generation of difference-frequency radiation by few-cycle laser pulse in thin crystal of GaAs

We present the results of theoretical study of generation of difference frequency radiation in interaction of few-cycle laser pulse with a GaAs thin crystal. 2D numerical time-integration of system of nonlinear Maxwell equations for the TEy mode has been performed by the finite-difference method. We consider the interaction of linearly-polarized pulse having the central wavelength of 1.98 μm, duration of 17.16 fs and the electric field amplitude Ex0,max = 100 MV/m, propagating along the normal to the 〈110〉 plane in the 14.74 μm-thickness GaAs crystal. The beam waist of initial linearly polarized pulse varies from 5.94 μm to 9.9 μm. The process of generation of difference frequency radiation (DFR) pulses arising at the output of nonlinear crystal via spectral filtration of formed supercontinuum is studied. The dependence of difference frequency generation efficiency on the beam waist is examined.