{"title":"Effects of Time-Dependent-Pararameter Variation on the Period-Doubling Route to Chaos.","authors":"R. Kapral, P. Mandel","doi":"10.1364/idlnos.1985.thd2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd2","url":null,"abstract":"A common method for investigating bifurcation points in physical systems consists in slowly changing a control parameter and observing the state of the system as a function of the instantaneous value of the parameter. The main reason for adopting this procedure is it’s convenience: An entire bifurcation diagram can be constructed in a single sweep of the bifurcation parameter. The literature on laser instabilities contains many examples of such studies.1","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"52 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":"127380914","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":"Observation of Phase-Sensitive Noise in Sodium Vapor","authors":"M. Maeda, Premjeet Kumar, J. Shapiro","doi":"10.1364/idlnos.1985.wd30","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd30","url":null,"abstract":"Squeezed states of light exhibit phase-sensitive quantum noise, which can be measured via optical homodyne detection. Squeezed state generation has been predicted in degenerate four-wave mixing, resonance fluorescence, and nonlinear propagation. We report observing phase-sensitive noise via optical homodyning on a cw dye laser beam which has propagated through sodium vapor near the D-lines.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"14 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":"125877699","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":"Observation of Squeezed Light in an Optical Cavity","authors":"R. Slusher, L. Hollberg, B. Yurke, J. Mertz","doi":"10.1364/idlnos.1985.wd37","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd37","url":null,"abstract":"We report the observation of squeezed light noise at power levels near the vacuum fluctuation level using nondegenerate four-wave-mixinq in an optical cavity.(1-4) The light at cavity resonances is observed using a balanced homodyne detector with a portion of the pump beam serving as a local oscillator.(5) The noise power is amplified by a factor A at a particular phase and attenuated by 1/A at a phase shift of 90°. This is a basic identifying characteristic of squeezed 1ight.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"35 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":"124818944","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":"Conservative-Dissipative Behavior of CO2 Laser with Injected Signal","authors":"A. Politi, G. Oppo, R. Badii","doi":"10.1364/idlnos.1985.fa7","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa7","url":null,"abstract":"Class B lasers1 are described by the so called rate equations for field intensity and population inversion. A suitable nonlinear transformation shows that such equations are fully equivalent to a Toda oscillator with intensity dependent losses2. More precisely, the dissipative terms are proportional to the square root \u0000 \u0000 \u0000 ε\u0000 =\u0000 \u0000 \u0000 \u0000 γ\u0000 η\u0000 \u0000 /\u0000 k\u0000 \u0000 \u0000 \u0000 \u0000 of the ratio between the decay rate γ\u0000 η\u0000 of population inversion and k of field intensity. In many physical cases (CO2, Nd-Yag etc.) ϵ is ≪1, and the motion, within a first order approximation, is a conservative one. By extending such approximation to the case of an externally injected laser, we obtain a reversible model, that is, a flow invariant the composition of time reversal and a suitable reflection R of coordinates3. Reversibility implies conservativity only with the further assumption that any trajectory is invariant under R-reflection. In particular we have observed that, for critical values of the external amplitude, global symmetry-breaking (SB) transitions occur. More precisely, finite regions in the phase space change their structure from a conservative to a dissipative one. Consequences of these critical phenomena can also be revealed in the original physical system. In fact, the SB yields a stability of the orbit much stronger than that owed to the dissipative terms here neglected.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"101 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":"121992702","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":"Routes to Chaos in Passive All Optical Resonators Containing Molecular Gases","authors":"R. Harrison, W. Firth, I. A. Al-Saidi, E. Cummins","doi":"10.1007/978-3-642-71708-6_9","DOIUrl":"https://doi.org/10.1007/978-3-642-71708-6_9","url":null,"abstract":"","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":"126496162","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 Actively Mode-Locked Homogeneously Broadened Lasers Induced By Self-Phase Modulation","authors":"M. Piché","doi":"10.1364/idlnos.1985.wd5","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd5","url":null,"abstract":"Phase-locking of a multimode laser results in the emission of a train of short pulses of constant shape1. This can be achieved by modulating the cavity losses at a frequency matched to the transit time in the resonator. The short pulse circulating in a pulsed laser can be compressed2 by inserting a Kerr medium in the laser cavity, provided self-phase modulation in the Kerr medium is properly adjusted to the dispersion of the gain medium. Self-phase modulation is also known1 to degrade the short pulse shape in several mode-locked solid state lasers.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"44 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":"134498286","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":"Dynamic Effects and Instabilities in Semiconductor Lasers in External Cavities","authors":"K. Tatah, E. Garmire","doi":"10.1364/idlnos.1985.fa4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa4","url":null,"abstract":"We have observed self-sustained relaxation oscillations of GaAlAs lasers in external cavities for DC drive currents greater than 20% above threshold. The frequency of relaxation oscillations depends on drive current as shown in Figure 1. Using standard rate equations and including a current-dependent cavity decay time give good agreement with theory. Without this current dependence, we obtain the linear curve shown in Figure 1, which does not agree with the experiment.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"77 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":"132225814","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}
N. Abraham, A. Albano, D. K. Bandy, B. Das, G. Deguzman, T. Isaacs, M. Tarroja, S. Yong, S. P. Adams, R. S. Gioggia
{"title":"Low-Dimensional Attractors for a Single-Mode He-Xe Ring Laser","authors":"N. Abraham, A. Albano, D. K. Bandy, B. Das, G. Deguzman, T. Isaacs, M. Tarroja, S. Yong, S. P. Adams, R. S. Gioggia","doi":"10.1364/idlnos.1985.wd17","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd17","url":null,"abstract":"Calculations of the order-2 information dimension, D2, and the order-2 Kolmogoroff entropy, K2, from digitized intensity versus time sequences from experimental measurements of an unstable, unidirectional, single-mode, inhomogeneously-broadened He-Xe ring laser indicate that the dynamical evolution of the laser can be characterized by an attractor of relatively low dimensionality. Clear states of periodic and period-doubled pulsations give an attractor dimension of one. Pulsations corresponding to broadband Intensity power spectra yield a fractal dimensionality larger than two, confirming that the origin of the irregular pulsations is deterministic chaos. This behavior, which is similar to that found in an earlier analysis of data from a Fabry-Perot laser using the same lasing medium, is deemed rather surprising in view of the fact that inhomogeneously broadened lasers are usually modelled in phase spaces of very high dimensionality.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"2015 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":"132948596","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. Poggi, G. Puccioni, W. Gadomski, F. Arecchi, J. Tredicce
{"title":"Laser with modulated loss: A complete description of its periodic and aperiodic behaviour.","authors":"A. Poggi, G. Puccioni, W. Gadomski, F. Arecchi, J. Tredicce","doi":"10.1364/idlnos.1985.fa2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa2","url":null,"abstract":"We report new and detailed studies of a CO2 laser system with modulated losses. It has been shown previously both experimentally and theoretically that such a homogeneously broadened laser [1] (and other similar systems [2]) can display instabilities and eventually chaotic behaviour when a parameter is modulated. We have improved the stability of our previous system and using a fast transient recorder we were able to characterize the period-doubling transition to chaos, including a stable f/8 subharmonic. We find periodic windows inside the chaotic region which do not follow the predicted sequence of the well-known logistic map. We present the time behavior, Poincare sections, phase-space portraits and power spectra that permit unequivocal Identification of a transition to chaos. We present other measures of the dynamical behaviour such as bifurcation diagrams showing generalized multistability and phase diagrams in the parameter space which localize the unstable regions. Dimensionality tests on digitized time series show the formation and evolution of a strange attractor as parameters are varied. It was possible to measure the dimension before and at the accumulation point of a Feigenbaum cascade and then into the chaotic region. The results are in good agreement with general theory on nonlinear dynamics [3]. For the first time return maps have been obtained from an experimental system and they reveal the breakdown of an analogy with the Feigenbaum model for a map with a quadratic maximum when we enter into the chaotic region.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"126 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":"122338076","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":"Perturbations and Instabilities in Laser Mode-Locking Dynamics","authors":"G. New, J. Catherall","doi":"10.1364/idlnos.1985.fc1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fc1","url":null,"abstract":"In this paper, we present a range of theoretical results that relate to the dynamical properties of mode-locked lasers, discussing perturbations induced by stochastic background fluctuations and instabilities arising from self-pulsing effects in hybrid systems.","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":"124963707","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}