{"title":"Observation of Instabilities and chaos in a single longitudinal, multitransverse mode cw-CO2 laser","authors":"D. Biswas, R. Harrison","doi":"10.1364/idlnos.1985.wd35","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd35","url":null,"abstract":"Here we report on the observation of oscillatory instability leading to chaos in, a single longitudinal but multitransverse mode cw-CO2 laser. Particularly significant we find en route to chaos distinct and stable oscillation involving three transverse modes.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"144 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":"125776242","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}
G. Broggi, E. Brun, B. Derighetti, P. Meier, M. Ravani, R. Stoop, R. Badii
{"title":"Regular and Chaotic Dynamics of a Single- or Multimode Ruby NMR Laser","authors":"G. Broggi, E. Brun, B. Derighetti, P. Meier, M. Ravani, R. Stoop, R. Badii","doi":"10.1364/idlnos.1985.wc5","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wc5","url":null,"abstract":"The solid state, nuclear spin-flip, ruby nuclear magnetic resonance (NMR) laser with its operating frequency in the rf-range has a variety of ordered (steady, oscillating, pulsing) and chaotic dynamic states. It behaves as a low-Q, lowely pumped, homogeneously broadened nonlinear laser system which may be modeled by Bloch-Kirchhoff equations [1]. Due to the five different NMR frequencies the ruby NMR laser can operate as a single- or multimode device. It can be driven by an external rf-field either tuned or detuned to NMR frequencies. A low frequency modulation, typically of the order of 100 Hz, of one of the system parameters adds another degree of freedom to the system which can be used to study systematically the various roads of chaotic modulation response.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"31 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":"114751594","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":"Unstable modes of an inhomogeneously broadened multimode ring laser","authors":"P. Mandel, Boyd Rayward, M. Raymer, L. Narducci","doi":"10.1364/idlnos.1985.thb1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thb1","url":null,"abstract":"We study the domain of unstable modes α for a unidirectional multimode ring laser. The inhomogeneous broadening is characterized by a Lorentz distribution of width u (expressed in units of the homogeneous width). A linear stability analysis of the single mode solution yields the following results.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"56 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":"127640240","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":"Dye Laser Model with Multiplicative Colored Noise","authors":"P. Jung, H. Risken","doi":"10.1364/idlnos.1985.thc4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thc4","url":null,"abstract":"A single mode laser model with fluctuating pump parameter is in use to describe the statistical properties of the light intensity of a Dye laser [1-4]. The normalized Langevin equation with multiplicative colored noise read where ϵ represents exponential correlated noise with the noise strength D and the relaxation time γ-4[5-7]. The equivalent two variable Fokker-Planck equation has the form [5,8,9]","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":"125702575","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":"Instrinsic Dynamical Instability in Optical Bistability with Two-Level Atoms","authors":"A. Rosenberger, L. Orozco, H. Kimble","doi":"10.1364/idlnos.1985.wa2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wa2","url":null,"abstract":"Self pulsing due to the single-mode instability has been observed in optical bistability.1 This self-pulsing instability has its roots in corresponding instabilities first analyzed for the homogeneously broadened laser. It shares a common physical origin in the intrinsic mechanism by which a strong intracavity field alters the absorption profile of the intracavity medium to produce amplification at frequencies offset from that of the strong field.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"115 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":"117254119","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":"Approximation of Time-Delay Differential Equations by Ordinary Ones","authors":"L. Bel","doi":"10.1364/idlnos.1985.tuc5","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tuc5","url":null,"abstract":"Let us consider a time-delay differential equation of the following type:\u0000 where G is a tuning constant, and where \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 x\u0000 ^\u0000 \u0000 \u0000 i\u0000 \u0000 \u0000 \u0000 are p time-delayed values of the variable x, the ri being functionals of x(t).","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":"129868863","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":"Demonstration of Self-Pulsing Instabilities and Routes to Chaos in a Single Mode Homogeneously Broadened Raman Laser","authors":"R. Harrison, D. J. Biswas, I. A. Al-Saidi","doi":"10.1364/idlnos.1985.wc1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wc1","url":null,"abstract":"We report huge pulsating instabilities in a single mode homogeneously broadened Raman laser. Ruelle-Taken, intermittent and period-doubling routes to chaos are observed. The laser, which uses NH3 as the active medium near-resonantly pumped on the aR(6,0) transition by a CO2 laser, emits on aP(8,0) transition at ~ 12.8 μm. This lasing transition has recently been clearly identified as Raman in origin for NH3 pressures 1 - 20 torr and pump intensity ~ 600 kW/cm2 (operating conditions for our experiment) and possesses extremely high gain ~ 10% cm−1 [1].","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"24 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":"125743896","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":"Statistical Behavior of Mode Amplitude and Phases in Multimode Dye Lasers","authors":"M. Raymer, L. A. Westling","doi":"10.1364/idlnos.1985.thb2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thb2","url":null,"abstract":"In order to characterize the statistical properties of multimode dye laser light, we have made two types of measurements: 1) mode intensity cross-correlation measurements, and 2) total intensity autocorrelation measurements. The two measurements contain different information. The cross-correlation measurements, made on a pulsed dye laser are detailed in Ref. 1. Briefly, the conclusion of these measurements was that certain pairs of modes are likely to lase simultaneously (coexist) because they don’t strongly compete for gain in the same spatial regions of the dye medium. The cross-correlation measurements gave information only about the amplitudes (intensities) of the modes, and not their phases.","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":"127382491","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":"Instabilities of Self-Pumped Phase-Conjugate Laser","authors":"C. Paré, M. Piché, P. Bélanger","doi":"10.1364/idlnos.1985.wd29","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd29","url":null,"abstract":"Optical chaos has recently been observed in a phase-conjugate laser1 (PCL) where phase conjugation was obtained by degenerate four-wave- mixing in BaTiO3. This complex dynamical behaviour is not predicted by a simple third-power law for the phase-conjugate mirror (PCM) reflectivity. A nonlinear theory by Wright et al2 has also confirmed the possibility of optical instabilities in a PCL with external pumps and without a saturable gain medium.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"326 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":"126679523","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":"Universal Properties and Universal Numbres and their Measurments in Experiments on Chaotic Dynamical Systems*.","authors":"I. Procaccia","doi":"10.1364/idlnos.1985.wb2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wb2","url":null,"abstract":"The number of carefull experiments that exhibit a transition to low dimensional chaotic motion has been growing steadilly in recent years.1 Techniques to characterize strange attractors and to measure important invariants like dimensions 2,3, entropies 4,5 and Lyapunov exponents were prposed and widely implemented.There has not been however sufficient experimental stress on universal properties. To my knowledge, the only experimental verifications of universal behviour to date pertained to the subcritical regime (on the way to chaos) and right at threshold. These include measurements of the accumulation rate of period doublings, the spectrum at onset of chaos via period doubling, and recently some universal numbers and spectra pertaining to the transition via quasiperiodicity.8 In the chaotic regime one is still coming up with numbers for the invariants that are not related to any universal properties.In this lecture I plan to review the recent theoretical results on universal behaviour in the chaotic regime, in addition to some novel methods for seeing universality at threshold. Most of these predictions have not been corroborated experimentally yet.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"48 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":"124930633","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}