Showing papers on "Parametric oscillator published in 1994"
TL;DR: In this article, an electro-optical oscillator capable of generating high stability optical signals at frequencies up to 70 GHz was described, and a comb of stable frequencies was produced by modelocking the oscillator.
Abstract: The authors describe an electro-optical oscillator capable of generating high stability optical signals at frequencies up to 70 GHz. Signals as high as 9.2 GHz were generated with an optical wavelength of 1310 nm using the oscillator, and a comb of stable frequencies was produced by modelocking the oscillator. >
226 citations
01 Jan 1994
TL;DR: In this article, the authors put the hamwnic oscillator on a pedestal and showed that it is a system that can be exactly solved (in classical and quantum theory) and a superb pedagogical tool (which will be repeatedly exploited in this text).
Abstract: In this section I will put the hamwnic oscillator in its place-on a pedestaL Not only is it a system that can be exactly solved (in classical and quantum theory) and a superb pedagogical tool (which will be repeatedly exploited in this text), but it is also a system of great physical relevance. As will be shown below, any system fluctuating by small amounts near a configuration of stable equilibrium may be described either by an oscillator or by a collection of decoupled harmonic oscillators. Since the dynamics of a collection of noninteracting oscillators is no more complicated than that of a single oscillator (apart from the obvious N-fold increase in degrees of freedom), in addressing the problem of the oscillator we are actually confronting the general problem of small oscillations near equilibrium of an arbitrary system.
124 citations
TL;DR: In this article, a local oscillator (LO) which can correctly decode the spatio-temporally distorted quadrature-squeezed light generated by means of single-pass traveling-wave optical parametric amplification is experimentally demonstrated.
Abstract: A local oscillator (LO) which can correctly decode the spatiotemporally distorted quadrature-squeezed light generated by means of single-pass traveling-wave optical parametric amplification is experimentally demonstrated. Such a matched LO is automatically produced in our squeezed-light generation scheme. With the matched LO 5.8 \ifmmode\pm\else\textpm\fi{} 0.2 dB [(74 \ifmmode\pm\else\textpm\fi{} 1)%] of quadrature squeezing is observed which, to the best of the authors' knowledge, is the highest observed in any traveling-wave squeezing experiment to date.
99 citations
TL;DR: In this paper, the operating characteristics of a singly-resonant femtosecond optical parametric oscillator (OPO) based on a noncritically phasematched geometry in KTP are described.
84 citations
TL;DR: In this paper, an experimental investigation into the response of a nonlinear continuous system with many natural frequencies in the range of interest is presented, which is a flexible cantilever beam whose first four natural frequencies are 0.65 Hz, 5.5 Hz, 16.19 Hz, and 31.91 Hz, respectively.
Abstract: An experimental investigation into the response of a nonlinear continuous systems with many natural frequencies in the range of interest is presented. The system is a flexible cantilever beam whose first four natural frequencies are 0.65 Hz, 5.65 Hz, 16.19 Hz, and 31.91 Hz, respectively. The four natural frequencies correspond to the first four flexural modes. The fourth natural frequency is about fifty times the first natural frequency. Three cases were considered with this beam. For the first case, the beam was excited with a periodic base motion along its axis. The excitation frequency fe was near twice the third natural frequency f3 , which for a uniform isotropic beam corresponds to approximately the fourth natural frequency f4 . Thus the third mode was excited by a principal parametric resonance (i.e., fe ≈ 2f3 ) and the fourth mode was excited by an external resonance (i.e., fe ≈ f4 ) due to a slight curvature in the beam. Modal interactions were observed involving the first, third, and fourth modes. For the second case, the beam was excited with a band-limited random base motion transverse to the axis of the beam. The first and second modes were excited through nonlinear interactions. For the third case, the beam was excited with a base excitation along the axis of the beam at 138 Hz. The corresponding response was dominated by the second mode. The tools used to analyze the motions include Fourier spectra, Poincare sections, and dimension calculations.
55 citations
01 Nov 1994
TL;DR: In this paper, the parametric resonances in a stationary classical annular disc when excited by a rotating mass-spring-damper system together with a frictional follower load are analyzed.
Abstract: This paper is concerned with the parametric resonances in a stationary classical annular disc when excited by a rotating mass-spring-damper system together with a frictional follower load. An analysis by the method of multiple scales is performed to reveal the existence of instabilities associated with subcritical parametric resonances, and other instabilities of the backward waves in modes with nodal diameters. The latter are shown to be driven by friction and not to be dependent upon the rotational speed. A state-space analysis, with truncated modes, is used to investigate the effect of varying the friction, stiffness, mass and damping prameters in a series of simulated problems. The results obtained from the state-space eigenvalue method tend to support the conclusions of the multiple scales analysis.
53 citations
TL;DR: In this paper, a dual-cavity optical parametric oscillator was proposed to overcome mode and cluster hopping effects, which are characteristic of doubly resonant, continuous-wave OPs.
Abstract: We have demonstrated a continuous‐wave optical parametric oscillator that uses separate optical cavities to resonate independently the nondegenerate signal and idler frequencies. The three‐mirror cavity utilizes the type II phase‐matching geometry in lithium triborate, with the orthogonally polarized signal and idler fields separated by an intracavity, dichroic‐coated, Brewster‐angled beam splitter. This dual‐cavity oscillator can overcome mode and cluster hopping effects, which are characteristic of doubly resonant, continuous‐wave optical parametric oscillators. We measure a pump power threshold of ≊200 mW and smooth tuning over ≊0.4 GHz. The tuning range is limited by pump resonance effects within the idler cavity.
51 citations
TL;DR: In this paper, a 1 kHz Ti:sapphire femtosecond regenerative amplifier system was used to pump a lithium triborate optical parametric generator in a type II noncritical phase matching configuration and a β‐barium borate parametric amplifier.
Abstract: A 1 kHz Ti:sapphire femtosecond regenerative amplifier system is used to pump a lithium triborate optical parametric generator in a type II noncritical phase matching configuration and a β‐barium borate parametric amplifier. Infrared pulses near 1460 nm as short as 50 fs are achieved with a pulse duration/bandwidth product of only 0.44.
48 citations
TL;DR: The first demonstration of a pump-enhanced singly resonant continuous-wave optical parametric oscillator is reported, which obtained single-frequency output powers of 500 mW in the nonresonant wave, which was temperature tuned over 14 nm.
Abstract: We report what is to our knowledge the first demonstration of a pump-enhanced singly resonant continuous-wave optical parametric oscillator. The nonlinear material used was lithium triborate cut for noncritical phase matching along the z axis, and the device was pumped by a single-frequency argon-ion laser. The oscillation threshold was ~1.0 W at 514.5 nm. For 3.4 W of pump power, we obtained single-frequency output powers of 500 mW in the nonresonant wave, which we temperature tuned over 14 nm.
47 citations
TL;DR: A high-repetition-rate Ti:sapphire-pumped optical parametric oscillator based on the new nonlinear optical crystal CsTiOAsO(4) is described and Pulse widths as short as 64 fs are generated with and without prisms in the cavity.
Abstract: A high-repetition-rate Ti:sapphire-pumped optical parametric oscillator based on the new nonlinear optical crystal CsTiOAsO4 is described. The operation of this optical parametric oscillator is characterized for a 90°-cut crystal by use of a type II interaction. Tuning from 1.46 to 1.74 μm is demonstrated, and there is the potential for tuning from 0.9 to 5 μm with angle tuning. Powers of 100 mW in the signal and the idler branches are obtained. Pulse widths as short as 64 fs are generated with and without prisms in the cavity.
47 citations
TL;DR: The stochastic dynamics of dissipative, white-noise-driven Floquet oscillators, characterized by a time-periodic stiffness, are discussed, and it is found that the fluctuations of the position coordinate are suppressed as compared to the equilibrium value of a harmonic oscillator.
Abstract: We discuss the stochastic dynamics of dissipative, white-noise-driven Floquet oscillators, characterized by a time-periodic stiffness. Thus far, little attention has been paid to these exactly solvable nonstationary systems, although they carry a rich potential for several experimental applications. Here, we calculate and discuss the mean values and variances, as well as the correlation functions and the Floquet spectrum. As one main result, we find for certain parameter values that the fluctuations of the position coordinate are suppressed as compared to the equilibrium value of a harmonic oscillator (parametric squeezing).
TL;DR: Experimental observation of parametric resonance of a vortex in an active medium with alternating electric-field with frequency has induced the vortex drift in the Belousov-Zhabotinsky chemical active medium.
Abstract: Experimental observation of parametric resonance of a vortex in an active medium is reported. Unlike the parametric resonance in conservative systems, no parametric pumping of energy is involved here, making the resonance especially interesting. An alternating electric-field with frequency, equal to double frequency of the vortex rotation, has induced the vortex drift in the Belousov-Zhabotinsky chemical active medium. The drift velocity was about 1/5 of the vortex drift velocity in constant electric field with the same amplitude. The direction of the drift did not coincide with the direction of the electric field and could be arbitrarily chosen by changing the phase shift between the electric-field oscillations and the vortex rotation. No effects were observed at a frequency equal to the frequency of vortex rotation, as well as at nonresonant frequencies.
TL;DR: Experimental intracavity compression of generated pulses (down to one quarter of the pumppulse duration) in a widely tunable synchronously pumped picosecond optical parametric oscillator is reported.
Abstract: We report on experimental intracavity compression of generated pulses (down to one quarter of the pump-pulse duration) in a widely tunable synchronously pumped picosecond optical parametric oscillator. This pulse compression takes place when the optical parametric oscillator is well above threshold and is due to the pronounced group-velocity mismatch of the pump and oscillating waves in the nonlinear crystal.
TL;DR: An approximating method is developed for determining the time evolution of harmonic oscillators with arbitrary derivable functions of the frequency or the mass and the approximate solution is shown to tend to the analytical one in the limiting case.
Abstract: The time evolution of a quantum harmonic oscillator with a series of sudden jumps of the mass or the frequency is determined in the form of a recursion relation. An approximating method is developed for determining the time evolution of harmonic oscillators with arbitrary derivable functions of the frequency or the mass. The approximate solution is shown to tend to the analytical one in the limiting case. As a demonstration of the approximating method, the solution of the problem of damped oscillation in the square of the oscillator frequency is presented.
TL;DR: High-power and single-frequency operation of a continuous-wave singly resonant potassium titanyl phosphate (KTiOPO(4) optical parametric oscillator in a ring-cavity configuration is reported.
Abstract: We report high-power and single-frequency operation of a continuous-wave singly resonant potassium titanyl phosphate (KTiOPO4) optical parametric oscillator in a ring-cavity configuration The ring singly resonant optical parametric oscillator threshold is 43 W When the oscillator is pumped by 67 W of 532-nm radiation from an 112-W single-frequency resonantly doubled Nd:YAG laser, 19 W of single-axial-mode output is generated at the idler wavelength of 1039 nm
TL;DR: In this article, the parametric and external resonances of a heavy elastic suspended cable were investigated for application to a stack/wire system, where small oscillations of the cable at the support attached to the stack, the result of bending motion of the stack due to vortex shedding, lead to parametric or external excitation.
Abstract: Nonlinear dynamics of a heavy elastic suspended cable were investigated for application to a stack/wire system. Small oscillations of the cable at the support attached to the stack, the result of bending motion of the stack due to vortex shedding, lead to parametric and external excitation. Numerical analysis was used to predict the parametric and external resonances of the elastic suspended cable, which contained cubic nonlinearities due to cable stretching and quadratic nonlinearities due to equilibrium cable curvature in a tilted configuration. Numerical results agree well with the original stack/wire response. Additional parametric analyses were pursued to distinguish between parametric and external resonances and their couplings. It was found that excitation amplitudes and tilted angles play very important roles in parametric and external resonances.
TL;DR: In this article, the authors considered the maximum spectral squeezing in the output signal of a degenerate optical parametric oscillator (OPO) and determined optimal pumping conditions to maximize the degree of squeezing.
Abstract: Dynamical restrictions to the squeezing achievable by means of a degenerate optical parametric oscillator (OPO) are considered by quantum-statistical diagram techniques. We determine optimal pumping conditions which maximize the degree of squeezing in the output signal of the OPO. The maximal spectral squeezing in the OPO's output radiation is found to scale as ${\mathit{N}}_{2}^{\mathrm{\ensuremath{-}}2/3}$ where ${\mathit{N}}_{2}$ is the number of photons in the pump mode.
TL;DR: Effective pulse compression under conditions of giant-pulse generation in a synchronously pumped parametric oscillator pumped by the second-harmonic radiation of an actively-passively mode-locked Nd;YAG laser with passive negative feedback is reported.
Abstract: We report effective pulse compression under conditions of giant-pulse generation in a synchronously pumped parametric oscillator pumped by the second-harmonic radiation of an actively-passively mode-locked Nd;YAG laser with passive negative feedback. A minimum pulse duration of 0.39 ps is achieved. The output radiation can be tuned from 0.614 to 4.16 microm.
TL;DR: An empirical expression for the effective thermal focusing power in terms of the pump power, beam diameter, crystal length, and absorption coefficient is determined and may be used to estimate average power limitations in designing AgGaSe(2) optical parametric oscillators.
Abstract: We performed an experimental investigation of thermal lensing in silver gallium selenide (AgGaSe(2)) optical parametric oscillator crystals pumped by a 2-µm laser at ambient temperature. We determined an empirical expression for the effective thermal focusing power in terms of the pump power, beam diameter, crystal length, and absorption coefficient. This relation may be used to estimate average power limitations in designing AgGaSe(2) optical parametric oscillators. We also demonstrated an 18% slope efficiency from a 2-µm pumped AgGaSe(2) optical parametric oscillator operated at 77 K, at which temperature thermal lensing is substantially reduced because of an increase in the thermal conductivity and a decrease in the thermal index gradient dn/dT. Cryogenic cooling may provide an additional option for scaling up the average power capability of a 2-µm pumped AgGaSe(2) optical parametric oscillator.
TL;DR: In this article, a single-degree-of-freedom parametrically excited system coupled with a Lanchester damper, a mass-dashpot device, is studied and the two equations governing the total system are solved using the method of multiple scales for the case of principal parametric resonance.
Abstract: A single-degree-of-freedom parametrically excited system coupled with a Lanchester damper, a mass-dashpot device, is studied. The two equations governing the total system are solved using the method of multiple scales for the case of principal parametric resonance. Steady-state solutions are obtained and the effect of the various system parameters examined. The stability analysis for the steady-state solution is also carried out. Results show that this damper can limit the maximum response of the main system and delay the onset of the force threshold necessary to trigger a non-trivial stable response.
TL;DR: Evidence for soliton formation in a Ti:sapphire-laser-pumped femtosecond optical parametric oscillator is reported and quantitative agreement with existing theory is implied.
Abstract: We report evidence for soliton formation in a Ti:sapphire-laser-pumped femtosecond optical parametric oscillator. Appropriate conditions of dispersion are discussed, and temporal and spectral measurements of the output pulses are presented. Quantitative agreement with existing theory is implied.
TL;DR: In this article, the response of a single-degree-of-freedom oscillator that can impact a surface with prescribed harmonic motion is investigated through experimental and numerical means, and the qualitative character of the oscillator's response depends strongly on the frequency of the surface's motion.
TL;DR: A broadly tunable picosecond singly resonant optical parametric oscillator based on a Brewster-angled crystal of lithium triborate in a ring cavity is described and continuous noncritically phase-matched tuning is demonstrated.
Abstract: A broadly tunable picosecond singly resonant optical parametric oscillator based on a Brewster-angled crystal of lithium triborate in a ring cavity is described. The optical parametric oscillator is synchronously pumped by an all-solid-state frequency-doubled additive-pulse mode-locked Nd:YLF laser pumped by laser diodes. Continuous noncritically phase-matched tuning is demonstrated from 839 to 1392 nm by use of one set of optics. The oscillator has a threshold of 47 mW of average pump power and, with a pump depletion of 70%, can deliver a tunable output of as high as 88 mW.
TL;DR: In this paper, a microwave radiation of the frequency ω1 arises from the bottom of spin-wave spectrum under condition of parametric resonance of magnons of ωp/2 are considered.
TL;DR: In this article, the squeezing properties of a harmonic oscillator with a series of sudden changes between two frequencies are determined, and infinite, quasi-periodic and irregular behaviour of the squeezing is found.
TL;DR: In this article, a harmonic oscillator interacting with the electromagnetic field in the vicinity of the planar dielectric-vacuum interface has been analyzed, and exact resolvent functions, which determine the solution of the initial-value problem for the oscillator and the electromagnetic fields, have been obtained.
Abstract: A harmonic oscillator interacting with the electromagnetic field in the vicinity of the planar dielectric-vacuum interface has been analyzed. The electromagnetic field is described in terms of Carniglia-Mandel modes (triple-wave modes) which take into account proper boundary conditions at the interface. Exact resolvent functions, which determine the solution of the initial-value problem for the oscillator and the electromagnetic field, have been obtained. These functions give frequency shifts and decay times for oscillator excitations. In most cases, when the oscillator approaches the interface, its excitation decay time decreases. Radiative frequency shifts have been calculated and interpreted in terms of the coupling with the Carniglia-Mandel photons. Outgoing photons, i.e., photons characterized by the outgoing waves and the outgoing wave vectors, have been used for a description of angular radiation intensity patterns. Some results for the radiative damping and the radiation angular distribution are equivalent to the classical ones, however, they get a new quantum interpretation.
TL;DR: In this paper, a microwave oscillator incorporating a varactor-tuned microstrip ring resonator was developed using a single packaged varactor diode which together with other required components was mounted inside the ring structure.
Abstract: A microwave oscillator incorporating a varactor-tuned microstrip ring resonator was developed using a single packaged varactor diode which together with other required components was mounted inside the ring structure. A tuning bandwidth of approximately 30% was achieved with forward and reverse biasing of the varactor diode. The measured phase noise of the new oscillator was found to be better than -90 dBc kHz from the carrier.
TL;DR: In this article, a partially filled circular cylindrical tank is subjected to horizontal, vertical and pitching excitations, and the nonlinear ordinary differential equations governing the liquid surface oscillation are derived by applying Galerkin's method.
Abstract: Nonlinear sloshing motion of the liquid in a partially filled circular cylindrical tank is investigated. The tank is subjected to horizontal, vertical and pitching excitations. The nonlinear ordinary differential equations governing the liquid surface oscillation are derived by applying Galerkin's method. It is confirmed that the vertical excitation causes the parametric excitation. In addition, it is noted that the pitching excitation also causes the parametric excitation when the pitching axis does not intersect the symmetrical axis of the circular cylindrical tank. The time histories of the liquid surface displacement are calculated to the harmonic pitching excitations. An experiment is carried out using a model tank. A fairly good agreement was found between the theoretical and experimental results. It is shown that, even if the tank is only subjected to the pitching excitation, the amplitude of liquid surface oscillation grows owing to parametric resonance.