{"title":"Quantum Fluctuations and the Lorenz Equations","authors":"S. Sarkar, J. Satchell, H. Carmichael","doi":"10.1088/0305-4470/19/14/014","DOIUrl":"https://doi.org/10.1088/0305-4470/19/14/014","url":null,"abstract":"The quantization of the Lorenz equations is shown to take the form of two complex and one real stochastic differential equations with multiplicative noise. Phase diffusion is the dominant feature for small values of the noise. Quantities such as the probability of the modulus of the variables are unchanged from those in the classical Lorenz equations. Moreover a unique fractal dimension can be associated with the stochastic process. For large noises there is a radical breakdown of this picture.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132855624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chaotic Emission of Solid State Lasers in Multitransversal Mode Operation","authors":"C. Jung, F. Hollinger, H. Weber","doi":"10.1364/CLEO.1984.WM4","DOIUrl":"https://doi.org/10.1364/CLEO.1984.WM4","url":null,"abstract":"Chaotic behavior of nonlinear systems is a well known phenomenon, which recently was observed in several laser systems. This paper now deals with chaotic emission of solid state lasers running in single longitudinal but multitransversal mode operation. It is demonstrated that, irregular spiking, so far explained by experimental imperfections is a type of chaotic emission. It can be evaluated theoretically and is confirmed experimentally.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124093772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of Atomic Excitations by Chirped Pulses","authors":"C. E. Carroll, F. T. Hioe","doi":"10.1364/idlnos.1985.wd22","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd22","url":null,"abstract":"We have found new analytic results for a wide variety of atomic excitation processes which involve the use of amplitude-and frequency-modulated laser pulses: (1) We have unified all the previously known solutions including those of Rosen and Zener,1 Landau2 and Zener,3 Rabi,4 Bambini and Berman,5 Demkov,6 McCall and Hahn,7 Allen and Eberly,8 and Hioe,9 among others, and have significantly extended it with expressions involving three free parameters and an arbitrary function to an infinite variety of amplitude-and frequency-modulated laser pulses.10 We have found a simple condition which the three essential parameters in the amplitude-and frequency-modulation functions must satisfy in order to achieve a complete population inversion, or to achieve a complete population restoration as in the case of self-induced transparency7 or soliton propagation.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123072083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The passive mode locking of an Nd3+:YAG laser with a two-photon absorber","authors":"N. Lawandy, D. MacFarlane","doi":"10.1364/idlnos.1985.wd6","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd6","url":null,"abstract":"Recently, Badziak and Tyl [1] have theoretically analyzed the inclusion of a two-photon absorber along with a single photon absorber in a laser cavity. They predicted that mode locking would occur with an increase in the intensity and contrast of the pulses, and a reduction in the pulse length. In this paper we announce the experimental observation of passive mode locking in a pulsed Nd3+:YAG laser with the inclusion of only a two-photon absorbing element in the cavity.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"129 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122982959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Dynamics for a Semiconductor Laser with Optical Feedback","authors":"H. Olesen, J. Osmundsen, B. Tromborg","doi":"10.1364/idlnos.1985.fa3","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa3","url":null,"abstract":"The optical feedback from an external cavity may force a semiconductor laser to oscillate in a single mode with very narrow linewidth. However, above a certain critical level of feedback the laser may switch to a seemingly chaotic state in which the linewidth is increased by several orders of magnitude. We report on a theoretical study of this transition by computer simulation of the coupled rate equations for the complex electric field β(t) exp(jωot) and the carrier density N(t).","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124668408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Study of the Macroscopic Quantum Fluctuations of Stimulated Raman Scattering from a Partially Coherent Source","authors":"M. Raymer, I. Walmsley","doi":"10.1364/idlnos.1985.wd23","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd23","url":null,"abstract":"A pencil shaped region of a Raman-active medium forms a source for Stokes-shifted light via stimulated Raman Scattering (SRS) when driven by an intense laser pulse. Stokes photons are scattered spontaneously at first, and then amplified during propagation through the medium. Since the scattering is initiated by quantum noise, the actual number of photons produced in any given pulse will be highly uncertain, even if the pulse energy of the driving laser is constant1. As the Stokes light propagates through such an extended region, it's coherence properties will be changed. The spatial coherence is determined by the size and shape of the region, which may be characterized by its Fresnel number F, defined as F= A/λSL, where A is the cross-sectional area of the interaction region, which has length L, and λS is the Stokes wavelength. The rate at which the microscopic scatterers (atoms or molecules) are dephased by collisions affects the temporal coherence of the Stokes light, characterised by the temporal coherence parameter Γτ /gL, where Γ is the collisional dephasing rate, τ is the laser pulse duration and g is the steady-state Raman gain coefficient.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123955486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Amir, L. Elias, D. Gregoire, J. Kotthaus, G. Ramian, Avinoam Stern
{"title":"Observation of Power Instability and Multimode Behavior in the UCSB Free-Electron Laser","authors":"A. Amir, L. Elias, D. Gregoire, J. Kotthaus, G. Ramian, Avinoam Stern","doi":"10.1364/idlnos.1985.wd13","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd13","url":null,"abstract":"Summary not available.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132798063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Semi-classical Limit of Chaos and Quantum Noise in Second Harmonic Generation","authors":"M. Dörfle, R. Graham","doi":"10.1364/idlnos.1985.thc6","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thc6","url":null,"abstract":"Second harmonic generation and subharmonic generation in a cavity are described by the usual master equation (1) for the statistical operator of the system of two modes (fundamental and second harmonic). The master equation is equivalent to a partial differential equation for the Wigner function which is a generalized Fokker-Planck equation involving partial derivatives of the first, second and third order (2). In the semi-classical limit the third order derivatives are negligible and the Wigner distribution satisfies the Fokker-Planck equation equivalent to the Langevin equation with the formally classical Gaussian white noise ξ1, ξ2 with the only non-vanishing correlation coefficients β1, β2 are the mode amplitudes (normalized to photon numbers), g is the coupling constant, Δ1, 2 the frequency mismatch, x is the damping rate, Fp the amplitude of the pump field.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131006655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Resonatorless Optical Bistability","authors":"C. Bowden","doi":"10.1364/idlnos.1985.wd19","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd19","url":null,"abstract":"Intrinsic (mirrorless) optical bistability (MOB) has been predicted independently by a number of authors1. Recent experiments have demonstrated at least one major aspect of this phenomenon, i.e., MOB due to increasing absorption2. Other categories of MOB which have been predicted from theoretical models are caused by: interatomic correlation in a many-body quantum model, the anharmonic contribution in a classical Duffing oscillator, the local field correction in the macroscopic Maxwell-Bloch formulation, and coherent dipole-dipole interaction in a microscopic semiclassical model of a finite number of damped, two-level atoms driven by an external field3. All of these models share a single common characteristic which causes MOB in some region of the parameter space of each model. The characteristic is simply: an interaction-dependent nonlinearity which causes a renormalization of the resonance frequency. In each case, the sign and magnitude of the incident field detuning from the unrenormalized resonance is a crucial parameter.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114385276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Excitation Dependent Dephasing and the Stability of the Lorenz Model for a Homogeneously Broadened Unidirectional Ring Laser","authors":"N. Lawandy, A. Fahmy, K. Lee","doi":"10.1364/idlnos.1985.wd11","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd11","url":null,"abstract":"The derivation of the mean field limit equations for a unidirectional homogeneously broadened ring laser is based on the density matrix derivation of the induced atomic polarization. This approach utilizes phenomenological longitudinal and transverse relaxation rates γ11 and γ⊥, which are assumed to be independent of the values of the density matrix elements. This restriction may in some cases be unrealistic, especially in gaseous systems. It is well known that the collision cross-sections for atomic species such as Na are state dependent. These alterations are in fact responsible for effects such as laser induced diffusion[1],[2].","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"166 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116961294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}