Four five‐parametric and five four‐parametric independent confluent Heun potentials for the stationary Klein‐Gordon equation

We present in total fifteen potentials for which the stationary Klein‐Gordon equation is solvable in terms of the confluent Heun functions. Because of the symmetry of the confluent Heun equation with respect to the transposition of its regular singularities, only nine of the potentials are independent. Four of these independent potentials are five‐parametric. One of them possesses a four‐parametric ordinary hypergeometric sub‐potential, another one possesses a four‐parametric confluent hypergeometric sub‐potential, and one potential possesses four‐parametric sub‐potentials of both hypergeometric types. The fourth five‐parametric potential has a three‐parametric confluent hypergeometric sub‐potential, which is, however, only conditionally integrable. The remaining five independent Heun potentials are four‐parametric and have solutions only in terms of irreducible confluent Heun functions.

     

High-power optical parametric oscillation in large-aperture periodically poled KTiOPO(4)

Electric field poling has been employed to fabricate 3-mm-thick periodically poled KTiOPO>(4) crystal for a high-power optical parametric oscillator. The maximum output power of the singly resonant optical parametric oscillator reached 13 mJ with 45% efficiency when the resonator was pumped with a 2.2-mm-diameter beam from a Q-switched Nd:YAG laser. The influence of the cavity design on the spectral and spatial qualities of the output parametric radiation is also discussed.     

A tunable fiber parametric oscillator for the 2 μm wavelength range employing an intra-cavity thulium doped fiber active filter

We report an efficient fiber parametric oscillator operating in the wavelengths range of 1.97 μm to 2.14 μm. The oscillator is based on narrow band parametric amplification and employs a thulium doped fiber placed at the loops end as an intra-cavity active filter. The filter eliminates any signal generated by stimulated Raman scattering which inherently accompanies the parametric process. Short wavelength parametric oscillations and the pump signal are also absorbed. Only the long wavelength parametric oscillations can build up in the resonantly pumped system which emits 4 ns pulses at ~ 1 MHz with a maximum peak pulse power of 20 W.     

50 dB parametric on-chip gain in silicon photonic wires

A pulsed mid-infrared pump at λ=2173 nm is used to demonstrate wideband optical parametric gain in a low-loss 2 cm long silicon photonic wire. Using dispersion engineering to obtain negative second-order (β2) and positive fourth-order (β4) dispersion, we generate broadband modulation instability and parametric fluorescence extending from 1911 nm-2486 nm. Using a cw probe signal to interrogate the modulation instability spectrum, we demonstrate parametric amplification >40 dB with an on-chip gain bandwidth wider than 580 nm, as well as narrowband Raman-assisted peak gain >50 dB.     

Near-infrared properties of periodically poled KTiOPO<Subscript>4</Subscript> and stoichiometric MgO-doped LiTaO<Subscript>3</Subscript> crystals for high power optical parametric oscillation with femtosecond pulses

A thorough theoretical analysis of the near-infrared properties of periodically poled KTiOPO₄ (PPKTP) and stoichiometric MgO-doped LiTaO₃ (MgO:PPSLT) crystals for optical parametric oscillation with excitation at 1 μm is presented. To the best of our knowledge, the optical, phasematching, wavelength tuning, and dispersive properties of these crystals for parametric interactions are discussed in detail for the first time. In addition, a new design for high power parametric devices based on PPKTP or MgO:PPSLT crystals with ultrafast Yb-ion laser pump is proposed. The results form a useful reference for the selection of materials and operating conditions for the practical design of high power femtosecond optical parametric oscillators with excitation at 1 μm.     

Multifrequency Raman generation in liquid carbon tetrachloride with two-color pumping

The multifrequency parametric Raman generation was carried out in liquid CCl₄ by using the second harmonic of a 30 ps pulsed Nd:YAG laser and its first Stokes in CCl₄ as two-color pumping. Up to 80% energy conversion efficiency of the 50 μJ pump pulse into 10 Raman components covering spectral range from 490 to 640 nm was achieved. A scheme for a multifrequency parametric Raman laser operating with pulse repetition rates up to 0.1 MHz is suggested.     

Acquiring 1053 nm femtosecond laser emission by optical parametric amplification based on supercontinuum white-light injection

We report a terawatt-Ti:sapphire-laser-pumped high-energy femtosecond optical parametric amplifier (OPA) with supercontinuum white-light injection. Signal pulses with a duration less than 100 fs and energy up to 4 mJ are obtained with large-aperture LiNbO3 crystals. This megajoule-class femtosecond OPA at 1053 nm presents a feasible alternative to optical parametric chirped-pulse amplification and is ready to be applied to petawatt lasers.     

Ultrabroad gain in an optical parametric generator with periodically poled KTiOPO4

An optical parametric gain bandwidth of 115 THz at full-width half maximum is generated from a picosecond Ti:sapphire pumped degenerate optical parametric generator. This ultrabroad bandwidth could be obtained by first identifying the wavelength where the nonlinear optical material has zero group-velocity dispersion (GVD). By pumping at half this wavelength the degenerate signal–idler pairs can accommodate ultrabroad bandwidths. The explanation for this is that the group velocities of the signal and the idlers are approximately matched and the GVD is small. However, in order to thoroughly investigate the degeneracy region around 1700 nm we fabricated several periodically poled KTiOPO₄ (PPKTP) crystals with different periods, and also one periodically poled RbTiOPO₄ (PPRTP). Both collinear and noncollinear configurations were employed for broadband parametric generation in this region. It was found that the optimum pump wavelength is in the region between 800 nm to 850 nm for PPKTP, and we could also conclude that a similar performance was found for PPRTP. This work will allow the design of optical parametric devices for generating few-cycle pulses in the spectral region between 1.1 μm and 3.8 μm. PACS 42.65.Re; 42.65.Ky; 42.65.-k     

Phase-matched self-doubling optical parametric oscillator

We report a synchronously pumped intracavity frequency-doubled optical parametric oscillator that employs a single KTiOPO(4) crystal for both parametric generation and frequency doubling. Both nonlinear processes are phase matched for the same direction of propagation in the crystal. The parametric oscillator, pumped by a femtosecond Ti:sapphire laser at a wavelength of 745 nm, generates a green output beam at 540 nm with a 29% power conversion efficiency. Angle tuning in conjunction with pump wavelength tuning provides output tunability in the 530-585-nm range.     

Stable operation of a cw optical parametric oscillator near the signal-idler degeneracy

The frequency stability of a cw optical parametric oscillator (cw OPO) near the signal-idler degeneracy has been studied. The strong tendency of a near-degenerate OPO to mode hop has been suppressed by using a bulk Bragg grating as a spectral filter in the OPO cavity. An experimental demonstration of stable parametric oscillation in a single longitudinal mode of the OPO cavity is reported, together with the capability of tuning the signal-idler difference frequency from 1 to 4 THz. The OPO has potential use in cw terahertz generation.     

Monolithic quasi-phase-matched nonlinear crystal for simultaneous laser Q switching and parametric oscillation in a Nd:YVO4 laser

We report the performance of a periodically poled lithium niobate (PPLN) crystal inside a diode-pumped Nd:YVO4 laser for simultaneous laser Q switching and optical parametric oscillation. The monolithic PPLN crystal consists of two sections, a 1-cm-long 14-microm-period electrode-coated section and a 4-cm-long 30-microm-period section, functioning as a low-voltage Pockels cell and a quasi-phase-matched parametric gain medium, respectively. At a 150-V Q-switching voltage and a 6-kHz switching rate, we measured 25-microJ pulse energy and 4-kW peak power at 1.55 microm with 9-W absorbed diode power.     

Subterahertz superlattice parametric oscillator

We report a superlattice parametric oscillator (SPO), with a GaAs/AlAs superlattice as the active element. The SPO was pumped by a microwave field (power 4 mW) and produced third harmonic radiation at subterahertz frequencies (near 300 GHz; 0.1 mW). We attribute the parametric gain to the nonlinearity of the miniband transport.     

微弱光学图像的光参量放大特性的研究

研究了微弱光学图像在光参量图像放大中的放大特性,分析了相位匹配和晶体的空间频率带宽对图像信号增益的影响,从实验上验证了不同的相位匹配时输入图像信号在傅里叶平面上的增益分布.结果表明,当晶体的空间频率带宽大于输入图像信号的空间频率带宽且完全相位匹配时,光参量图像放大器能够对输入图像信号实现无失真、高增益的理想放大;有相位失配时,图像信号的增益峰值向高空间频率范围移动,并且在峰值附近范围变窄,随相位失配量大小的变化能够对图像信号光场中某特定空间频率实现放大,对图像信号进行滤波处理,突出图像特定频率的信息,实现图像边缘增强.     

Cavity phase matching via an optical parametric oscillator consisting of a dielectric nonlinear crystal sheet

We experimentally demonstrate cavity phase matching for the first time using a sheet optical parametric oscillator which is made of an x-cut KTiOPO(4) crystal sheet. This microcavity presents 220 kW peak power capability for near-frequency-degenerate parametric outputs with up to 23.8% slope efficiency. It also features unique spectral characteristics such as single-longitudinal-mode and narrow linewidth. These attractive properties predict broad applications of such a mini-device, such as terahertz generation, photonic integration, spectroscopy, and quantum information, etc.     

Sub-shot-noise high-sensitivity spectroscopy with optical parametric oscillator twin beams

Nondegenerate optical parametric oscillators generate above-threshold signal and idler beams that have intensity fluctuations correlated at the quantum level (twin beams). We describe what is to our knowledge the first high-sensitivity spectroscopy experiment using twin beams emitted by a cw optical parametric oscillator: a very weak two-photon absorption signal, in the 10(-7) range, is recorded on the 4S(1/2)-5S(1/2) transition of atomic potassium with a noise background that is reduced by 1.9 dB with respect to the shot-noise limit of the light used in the experiment.     

High-repetition-rate femtosecond optical parametric chirped-pulse amplifier in the mid-infrared

We discuss a dual-stage optical parametric chirped-pulse amplifier generating sub-100-fs pulses in the mid-infrared at a repetition rate of 100 kHz. The system is based on a 1064 nm pump laser and a 3–4 μm difference frequency generation seed source derived from the output of a femtosecond fiber laser amplifier. Both lasers are commercially available, are diode-pumped, compact, and allow for turn-key operation. Here, we focus our discussion on the design and dimensioning of the optical parametric chirped-pulse amplifier. In particular, we review the available gain materials for mid-infrared generation and analyze the impact of different stretching scenarios. Timing jitter plays an important role in short-pulse parametric amplifier systems and is therefore studied in detail. The geometry of the amplifier stages is optimized through a full 3-dimensional simulation with the aim of maximizing gain bandwidth and output power. The optimized system yields output pulse energies exceeding 1 μJ and an overall gain larger than 50 dB. The high repetition rate of the pump laser results in an unprecedented average power from a femtosecond parametric system at mid-infrared wavelengths. First experimental results confirm the design and the predictions of our theoretical model.     

Tunable,continuous-wave single-resonant optical parametric oscillator with output coupling for resonant wave

We present a continuous-wave singly-resonant optical parametric oscillator with 1.5% output coupling of the resonant signal wave, based on an angle-polished Mg O-doped periodically poled lithium niobate(Mg O:PPLN), pumped by a commercial Nd:YVO4laser at 1064 nm. The output-coupled optical parametric oscillator delivers a maximum total output power of 4.19 W with 42.8% extraction efficiency, across a tuning range of 1717 nm in the near- and mid-infrared region.This indicates improvements of 1.87 W in output power, 19.1% in extraction efficiency and 213 nm in tuning range extension in comparison with the optical parametric oscillator with no output coupling, while at the expense of increasing the oscillation threshold by a factor of ～ 2. Moreover, it is confirmed that the finite output coupling also contributes to the reduction of the thermal effects in crystal.     

Optical parametric chirped pulse amplification based on photonic crystal fibre

A compact two-stage optical parametric chirped pulse amplifier based on photonic crystal fibre is demonstrated.A 1064-nm soliton pulse is obtained in a home-made photonic crystal fibre (PCF) with femtosecond pulse pumping and then amplified to 2 mJ in an Nd:YAG regenerative amplifier.After the amplified pulses pass through the LBO crystal,the 532-nm double-frequency light with an energy of 0.8 mJ and a duration of over 100 ps at 10-Hz repetition rate is generated as a pump source in the following two-stage optical parametric amplification (OPA).The 850-nm chirped signal light gain from the stretcher is 1.5×10 4 in the first-stage OPA while it is 120 in the second-stage OPA.The total signal gain of optical parametric chirped pulse amplification (OPCPA) can reach 1.8×10 6.     

由非简并光学参量放大系统获得压缩态光所满足的Fokker-Planck方程及其解

通过解非简并光学参量放大的Fokker-Planck方程，得出压缩态光的腔内最大压缩的量子起伏为1/16（真空起伏为1/4）,与已知的简并光学参量放大情形腔内最大压缩为1/8相比，压缩度提高了一倍. 关键词： 非简并光学参量放大 Fokker-Planck方程 腔内最大压缩     

Femtosecond optical parametric oscillator based on periodically poled KTiOPO(4)

We report a femtosecond optical parametric oscillator based on a periodically poled KTiOPO(4) crystal for which quasi-phase matching is achieved with a 24-microm poling period. The singly resonant parametric oscillator, synchronously pumped by a Ti:sapphire laser at a wavelength of 758 nm, generates a signal at 1200 nm and an idler at 2060 nm. The maximum signal power conversion efficiency of the device is 22% with a pump depletion of 69%. We tune the signal wavelength over a 200-nm band by changing the cavity length. In addition, pump wavelength tuning provides output tunability in the 1000-1235-nm range.