Phase modulation conversion and conservation in optical parametric amplifier of femtosecond laser pulses

The influence of the pump pulse, group-velocity mismatch, dispersion and self-phase modulation & cross phase modulation on the phase transfer in the OPA process were analyzed. The results show that very sharp phase modulation can be maintained in mid infrared range by optical parametric amplifier. The period and depth of the periodic modulation can also be maintained due to small group-velocity mismatching in the calculated wavelength range.     

Phase effects at second harmonic generation in the layer media

An analysis is made of quasi-phase-matched interaction at second harmonic generation in a regular domain structure with accounts for losses and change of phases of all the interacting waves. The constant-intensity approximation of basic radiation is applied for this purpose, not to regular domain structure as a whole, but to each separately taken domain. It allows to carry out more strict analysis of quasi-synchronous interaction during the frequency conversion to the polydomain consisting of n layers, forming “grating” periods of modulation of the nonlinear susceptibility. With this, the values of complex amplitudes of basic radiation and second harmonic wave at the outlet of each domain are entrance values of the corresponding complex amplitudes to the following domain. The analytical expression is given for the case of n domains and the factors limiting the efficiency of the process of frequency conversion are analyzed. In the constant-intensity approximation, in contrast to the constant field approximation, the coherent length of domain depends on pump intensity. With increasing pump intensity the optimum length decreases. In a regular domain structure at frequency conversion from a layer to a layer, intensity of the basic radiation changes. Also the optimum length of domains at which conversion efficiency is maximal therefore changes. Thus, it is possible to obtain the high values of conversion frequency at the outlet of a regular domain structure by choice of optimum parameters of a task (length of domains, phase mismatch, pump intensity), as well as using the layers-domains of high quality.     

Nonclassical light generation in quasi-phase-matched parametric self-frequency conversion

We present a quantum theory of the parametric self-conversion of the laser radiation frequency in active nonlinear crystals with a regular domain structure. Such crystals feature simultaneous lasing and quasi-phase-matched parametric conversion of the laser radiation frequency. These processes are described using the Heisenberg-Langevin equations in two regimes of the subharmonic generation: super-and subthreshold. The spectral properties of the quadrature components of the laser frequency and its subharmonic and the photon statistics have been studied as dependent on the pump power, crystal length, and reflectance of the laser cavity output mirror. Using the obtained analytical expressions, these characteristics are calculated for a active nonlinear Nd:Mg:LiNbO₃ crystal with a regular domain structure. In the subthreshold regime, the maximum decrease in the spectral density of fluctuations in the subharmonic quadrature component relative to the standard quantum limit may reach 90%; in the above-threshold regime, these fluctuations are virtually not suppressed. A decrease in the spectral density of fluctuations of the laser frequency quadrature does not exceed 10%. In the subthreshold excitation regime, the subharmonic photons obey a super-Poisson statistics; in the above-threshold regime, the photon statistics is Poisson-like.     

Statistical and coherence effects in nonlinear optical parametric up conversion. II. Incoherent interaction

Parametric up conversion (PUC) by incoherent nonlinear optical mixing of second-order coherent strong pumping radiation and another weak chaotic input radiation with a finite spectral width is treated in the second part of this paper. The efficiency of PUC is calculated in the second approximation of the iterative method. It is shown that in the case of perfect phase matching the efficiency of PUC decreases with increase of both the spectral width of the input radiation and the dispersion of medium, whilst at considerable values of phase mismatch the reverse effect appears. The spectral distribution of the resulting sum-frequency radiation is calculated in the first approximation of the iterative method. There is a general tendency to narrowing of the spectral distribution of the generated radiation in the course of PUC. Moreover, when there is a phase mismatch present, a spectral shift of the central maximum of generated radiation towards the blue or red region, according to the signs of the phase mismatch and the typical dispersion coefficient, appears in the later phases of the PUC.     

Statistical and coherence effects in nonlinear optical parametric up conversion. I. Coherent interaction

The distinction between coherent and incoherent nonlinear optical interactions is established at the beginning of the paper. In the first part parametric up conversion (PUC) by coherent nonlinear optical mixing of the strong pumping radiation with weak input radiation is treated with respect to statistical properties of generating radiations. The efficiency of PUC is calculated by means of the conserved statistics method. It is shown that the efficiency of PUC depends upon the photon statistics of the strong pumping radiation only, namely, it decreases with increasing fluctuation level in the pumping radiation. The fourth-order statistics of generated sum-frequency radiation is calculated in the first approximation of the iterative solution. The statistics of both generating radiations are projected into the statistical distribution of the resulting sum-frequency radiation in the same way at the beginning of the process.     

High conversion efficiency fiber optical parametric oscillator

We present a χ(3) fiber parametric oscillator with high conversion efficiency from the input pump wave to the output parametric sidebands. By introducing an intracavity filter detuned from the oscillator's phase-matched frequency conversion efficiencies considerably higher than those possible when operating at the phase-matched frequency are demonstrated. Experimentally we are able to obtain a total internal conversion efficiency in excess of 93% from the pump to the Stokes and anti-Stokes sidebands.     

高效率光参量转换

用一块6.5×9×20(长度)mm KTP晶体获得625nm～3575nm的皮秒可调谐激光.能量转换效率高达30%,最大信号光峰值功率34MW.     

Phase bunching of oscillators in parametric resonance

Phase bunching in an ensemble of oscillators is considered by solving the Cauchy problem for the Mathieu equation using the asymptotic method of averaging in the third approximation for the zeroth resonance zone and in the fourth approximation for the first, second, third, and fourth zones in instability regions, as well as in stability regions near the boundaries with instability regions. It is shown that the existence and regularities of bunching follow from analysis of the well-known physical phenomenon, viz., beats of two oscillations. By way of example, parametric oscillations of charges at a node of the electric field of a standing wave are considered.     

Full pump energy conversion at parametric amplification

The full conversion of the modulated wave energy is shown to be possible and can be reached at mutually simple conformity between the spatial-temporal, modulation forms of interaction waves.     

Quantum structures in traveling-wave spontaneous parametric down-conversion

We analyze theoretically spatial structures appearing in the far diffraction zone of the electromagnetic field emitted in the cavityless parametric down-conversion. We investigate in detail the spatial correlation functions of intensity and demonstrate the existence of strong quantum correlations between the regions of the far field symmetrical with respect to the optical axis. Our simplified model allows us to obtain analytical results for some limiting cases. We demonstrate that in the limit of small diffraction and ideal quantum efficiency of photodetection the noise reduction in the photocurrent difference between symmetrical regions in the far diffraction field becomes complete at zero frequency of photocurrent fluctuations. Received 5 February 2001 and Received in final form 11 April 2001     

Terahertz generation based on parametric conversion: from saturation of conversion efficiency to back conversion

By stacking alternatively rotated gallium phosphide (GaP) plates, the maximum photon conversion efficiency of 40% for the terahertz (THz) generation based on difference-frequency generation has been achieved. The corresponding peak power generated inside the four GaP plates approaches 4 kW. As the number of plates is increased from four to five, the THz output power is significantly decreased, due to back parametric conversion.     

Dynamical-diffraction effects in parametric radiation

An analytic theory is developed for dynamical-diffraction effects in x-ray radiation from a relativistic electron traversing a thin single crystal. It is shown that such dynamical effects may be responsible for a glaring discrepancy between recent experimental data and the traditional theory of parametric x-ray radiation.     

Two-mode squeezing in a coherently driven degenerate parametric down conversion

Squeezing properties of a two-mode radiation produced by a process of driven degenerate parametric down conversion, when the cavity is coupled to two independent squeezed vacuum reservoirs employing the linearization procedure, are analyzed. The two-mode cavity and output radiations exhibit considerable squeezing even when the oscillator is coupled to a vacuum reservoir. One of the effects of coupling the cavity to the squeezed vacuum reservoirs is to increase the degree of squeezing exponentially. For the output radiation the correlation of the quadrature operators evaluated at different times also contributes to the squeezing, which is the reason for quenching of the overall noise in one of the quadrature components of the fundamental mode.     

Self-organized parametric down conversion and photoinduced reflectivity in optical fibers

We report new experimental results concerning self-organized nonlinear optical interactions in optical fibers. A self-organized parametric down conversion was observed if the second-harmonic seeding radiation had been above the saturation level. If furthermore increasing the second-harmonic input power a nearly total photoinduced reflectivity for the second-harmonic green light and about 50% reflectivity for the fundamental infrared radiation were observed.     

Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion

Using a 1 GW, 1 ps pump laser pulse in high-gain parametric down conversion allows us to detect sub-shot-noise spatial quantum correlation with up to 100 photoelectrons per mode by means of a high efficiency charge coupled device. The statistics is performed in single shot over independent spatial replica of the system. Evident quantum correlations were observed between symmetrical signal and idler spatial areas in the far field. In accordance with the predictions of numerical calculations, the observed transition from the quantum to the classical regime is interpreted as a consequence of the narrowing of the down-converted beams in the very high-gain regime.     

Raman-assisted parametric frequency conversion in a normally dispersive single-mode fiber

We demonstrate efficient frequency conversion with large frequency shifts of an anti-Stokes signal into a parametrically seeded Stokes idler, which is generated by a highly mismatched three-wave mixing interaction and subsequent Raman amplification in a normally dispersive single-mode fiber. The use of non-phase-matched waves in Raman-assisted three-wave mixing interactions overcomes the strict spectral limitations imposed by phase-matching conditions in parametric frequency-conversion processes.