{"title":"Laser Pulse Formation by Balanced Self Phase Modulation, Group Velocity Dispersion, Saturable Absorption, and Saturable Gain","authors":"R. Fork, J. Gordon, J. Valdmanis","doi":"10.1364/idlnos.1985.fc2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fc2","url":null,"abstract":"We examine, experimentally and theoretically, the nonlinear dynamics of a laser which generates pulses as short as 27 fs directly from the laser (1), Fig. 1 . The laser shapes the intracavity pulses by a balanced combination of self phase modulation, group velocity dispersion, saturable absorption, and saturable gain which appears different from the shaping mechanisms in earlier lasers where the pulse shaping was due principally to saturable absorption and gain (2), or to soliton-like mechanisms in an optical fiber (3). The shaping which we discuss also offers advantages over prior modelocking mechanisms in that it yields enhanced stability, a close approach to transform limit, and pulses which are, to our knowledge, the shortest yet generated from a laser.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"21 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":"127019120","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":"Low Dimensional Chaos in Simple Forced Laser Systems","authors":"F. Arecchi","doi":"10.1364/idlnos.1985.fa1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa1","url":null,"abstract":"The laser dynamics arising from quasi-resonant interaction between a single mode field and a medium with a homogeneously broadened gain line is described by the equations coupling five variables, namely, the complex field amplitude E, the complex medium polarization P and the real population inversion D. At resonance, E and P are real and the equations reduce to where k, γ1 and γ11 are the relaxation rates of field, polarization and population, respectively, and D0 is the population imposed by the pump.","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":"114150537","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":"Effect of Noise on the Bifurcations to Chaos in a Modulated Diode Laser","authors":"H. Winful, Y. Chen","doi":"10.1364/idlnos.1985.thd1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd1","url":null,"abstract":"It has been demonstrated theoretically that a diode laser, when directly modulated at a rate comparable to its relaxation oscillation frequency, exhibits a period-doubling route to chaos1. This prediction was based on a numerical solution of the deterministic noise-free rate equations that govern the interaction between electrons and photons in the laser. However, it is known that the output of a cw diode laser can exhibit large amplitude fluctuations with a frequency centered at the relaxation oscillation resonance2. These fluctuations arise from the quantum nature of spontaneous emission and cannot be eliminated in real diode lasers. In effect, the laser acts as a noise-driven relaxation oscillator. In this paper we consider the effect of quantum noise on the predicted bifurcations to chaos of directly modulated diode lasers.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"7 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":"122783082","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 Correlations in Optical Systems with Parametric Noise","authors":"M. S. Miguel, A. Hernández-Machado","doi":"10.1364/idlnos.1985.thd6","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd6","url":null,"abstract":"It has been suggested that anomalous fluctuation phenomena found experimentally in dye lasers(1) can be due to fluctuations of the pump parameter. The schochastic dynamical model proposed is In appropriate units I is the intensity of the laser field and ∝ is the mean value of the pump parameter. The stochastic force ξ (t) models fluctuations of ∝. Away from the immediate vecinity of the instability point, ξ (t) can not be modeled by a white noise. We take for ξ (t) and Ornstein-Uhlenbeck noise with correlation = z-1 exp (-|t-t'|/z). We present here a calculation of the short time behavior of the normalized steady state correlation function \u0000 \u0000 \u0000 \u0000 λ\u0000 \u0000 \u0000 \u0000 \u0000 s\u0000 \u0000 \u0000 \u0000 =\u0000 \u0000 \u0000 \u0000 <\u0000 \u0000 I\u0000 \u0000 \u0000 \u0000 \u0000 s\u0000 \u0000 \u0000 \u0000 \u0000 I\u0000 \u0000 \u0000 \u0000 \u0000 o\u0000 \u0000 \u0000 \u0000 >\u0000 \u0000 \u0000 s\u0000 t\u0000 \u0000 \u0000 \u0000 −\u0000 <\u0000 \u0000 I\u0000 \u0000 \u0000 >\u0000 \u0000 st\u0000 \u0000 2\u0000 \u0000 \u0000 \u0000 \u0000 /\u0000 \u0000 <\u0000 \u0000 I\u0000 \u0000 \u0000 >\u0000 \u0000 st\u0000 \u0000 2\u0000 \u0000 \u0000 \u0000","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"65 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":"126224930","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 Lorenz Model","authors":"C. Sparrow","doi":"10.1142/9789814415583_0003","DOIUrl":"https://doi.org/10.1142/9789814415583_0003","url":null,"abstract":"The three-dimensional set of ordinary differential equations, known as the Lorenz equations were first introduced by Ed Lorenz [2] in 1963 as a model of convection in a two-dimensional cell. Since then other authors, e.g. Haken [1] have shown that the same equations can be derived from the Maxwell-Bloch equations for single-mode lasers with damping. The equations are of mathematical interest because of the wide variety of behaviours that they display -- including chaotic behaviour and the existence of strange attractors -- for different values of the three parameters r, σ and b. It seems that the relevant range of parameters for laser applications is σ < b + 1 which, it must be confessed, is not the parameter range of greatest interest from a mathematical point of view. However, providing 3σ - 1 > 2b attracting chaotic behaviour will still occur [3,4] though it will occur at parameter values for which the equations also have stable stationary points and these may determine most of the observed behaviour of the system.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"58 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":"126238522","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":"Phase Diagrams for CO2 Laser with an Intracavity Saturable Absorber","authors":"E. Arimondo, C. Gabbanini, E. Menchi","doi":"10.1364/idlnos.1985.wd15","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd15","url":null,"abstract":"The infrared CO2 laser with an intracavity saturable absorber (LSA) is a system where instabilities in the nonlinear operation may be easily explored. Experimentally the LSA presents a bifurcation between states with time independent laser intensity, i.e. a bistable regime. Furthermore it presents bifurcations to states where the electric field amplitude is modulated in time with a period determined by the relaxation parameters of the laser medium and of the absorber. The modulation should be classified by its amplitude, as large or small. The large amplitude case, where the laser output is composed by pulses with amplitude constant when the bifurcation point is approached, corresponds to the passive Q-switch (PQS) operation, well known from the early development of the CO2lasers. In the small amplitude case the laser output power presents a sinusoidal modulation whose intensity decreases to zero when the bifurcation point is approached.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"10 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":"124065529","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":"Experimental studies of transient noise-induced bistability","authors":"W. Lange, F. Mitschke, R. Deserno, J. Mlynek","doi":"10.1364/idlnos.1985.thd4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd4","url":null,"abstract":"The role of external noise in the process of critical slowing down (CSD) has been analysed theoretically by Broggi and Lugiato/1/; these authors recently predicted a transient noise-induced optical bistability due to amplitude fluctuations in the light input. They found that under conditions of CSD the probability distribution of light field amplitudes becomes double-peaked in a sizeable time interval during the approach to the single-peaked steady state distribution. Moreover they found that in the presence of fluctuations the delay times τD observed in an experiment on CSD should have a broad distribution, which can be very asymmetric. With increasing noise levels the mean value of the delay time should be considerably shorter than in the deterministic case.","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":"129199099","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":"Mode Analysis of a Hybrid Bistable Device","authors":"R. Vallée, C. Delisle","doi":"10.1364/idlnos.1985.wd34","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd34","url":null,"abstract":"The exact scenario leading to chaos in infinite dimensional systems systems described by differential-difference equations (DDE) has attracted a lot of attention recently. The electro-optic bistable device which is described by that sort of equation was shown by Gibbs & al.1 (after a prediction by Ikeda & al.2) to reach chaos after a truncated perioddoubling sequence resembling the case quantitatively studied by Feigenbaum. However in the chaotic region, the electro-optic system shows windows of \"frequency-locked\" oscillations and other features that cannot be interpreted in the frame of a one-dimensional analysis.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"26 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":"115207891","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":"Stabilization and Passive Mode Locking of CW Alexandrite Lasers","authors":"D. Harter, Y. Band, H. Samelson, E. Ippen","doi":"10.1364/idlnos.1985.fc3","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fc3","url":null,"abstract":"Alexandrite is a solid state laser material which lases in the range of 700-800 nm. Alexandrite has been lased continuously by pumping with a krypton ion laser1 and by pumping with xenon and mercury arc lamps2. When alexandrite is pumped with the krypton ion laser, the output is very stable and, when the pump source is removed, the output damps through population oscillations which can be well described by rate equations3. However, when alexandrite is pumped by the xenon or mercury arc lamps, the output is very noisy at certain pumping levels. Experimental data showing this noisy operation will be presented and sources of this noise will be discussed.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"10 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":"115561039","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":"Parametric Bistable Resonance in the Four Wave Interaction in Molecular Systems","authors":"B. Ratajska-Gadomska, W. Gadomski","doi":"10.1364/idlnos.1985.wd27","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd27","url":null,"abstract":"Nonlinear optical processes due to the interaction of the vibrational modes in crystals (molecules) with external fields are usually described in terms of the nonlinear polarization of the medium. This polarization can be expressed as the power series of the small vibrational amplitudes, which are generally dependent on the external field intensity. In the procedures most frequently used the polarization is expanded only to the first order. The vibrational amplitude of the mode resonantly coupled to the field is found as the solution of the equation of the driven and damped oscillator (e.g. CARS).","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"41 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":"114685557","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}