{"title":"Bistability in Intracavity Nearly-Degenerate Four-Wave Mixing","authors":"H. Nakajima, R. Frey","doi":"10.1364/idlnos.1985.fb4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fb4","url":null,"abstract":"Many important effects such as optical bistability or periodic and chaotic self-pulsations have their origin in the interaction of two counterpropagating optical beams of the same frequency in a nonlinear medium. The investigation of the actual behavior of the standing waves set up inside a nonlinear Fabry-Perot etalon by an external pump beam is generally performed by observation of the transmitted beam. As predicted theoritically(1), intracavity phase conjugation is another way to test this interaction between the two counterpropagating pump waves inside the nonlinear cavity.","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":"130205840","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}
W. Dennis, W. Blau, D. Bradley, R. Schulz, N. Rau, C. Plachetta
{"title":"Degenerate four-wave mixing of picosecond light pulses in soluble polydiacetylenes","authors":"W. Dennis, W. Blau, D. Bradley, R. Schulz, N. Rau, C. Plachetta","doi":"10.1364/idlnos.1985.wd26","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd26","url":null,"abstract":"Optical phase conjugation by degenerate four-wave mixing of picosecond light pulses in polydiacetylene solutions has been observed with reflectivities up to 600%. The coupling mechanisms are ultrafast Kerr-like nonlinear susceptibility and thermally induced refractive index changes.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"79 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":"130275591","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":"On Delay-differential Equations Modelling Nonlinear Optical Resonators","authors":"K. Ikeda","doi":"10.1364/idlnos.1985.tuc1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tuc1","url":null,"abstract":"The aim of present talk is to survey the method of modelling the nonlinear optical resonators by a class of delay-differential equations. Instabilities exhibited by the model equations are summarized and classified.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"112 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":"128802970","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":"Overview Of Classical And Quantum Hamiltonian Chaos","authors":"G. Casati","doi":"10.1364/idlnos.1985.wb1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wb1","url":null,"abstract":"In the last 30 years the studies in nonlinear dynamical systems have brought to a fairly good understanding of the statistical properties of classical dynamical systems.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"117 5 Pt 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":"129151570","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":"Quantized Chaotic Systems","authors":"R. Graham","doi":"10.1364/idlnos.1985.thc1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thc1","url":null,"abstract":"Chaos is a typical form of dynamical behavior of classical nonlinear dynamical systems. In conservative Hamiltonian systems with f degrees of freedom chaos appears if the system is not intergrable and in some regions of phase space trajectories are not restricted to f-dimensional smooth manifolds. In dissipative systems chaos in the dynamical steady state appears if the system has a strange attractor in configuration space.","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":"124421054","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":"Dwell Times and Average First Passage Times in the Dye Ring Laser*","authors":"P. Lett, L. Mandel","doi":"10.1364/idlnos.1985.thc3","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thc3","url":null,"abstract":"The dye ring laser, like other homogeneously broadened two-mode lasers, is predicted to have a steady state with two distinct regions of metastability.1-3 If we write for the probability density of the two-mode intensities I1, I2 where U(I1,I2) is the steady state potential, then U(I1,I2) has the form in dimensionless units where a1, a2 are pump parameters of the two laser modes, and ξ=2 is the mode coupling constant.4 A two-dimensional plot of the surface U(I1,I2) exhibits minima at I1=a1, I2=0, and I1=0, I2=a2 with a saddle point in between.5","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"60 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":"126461757","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":"Recent Progress in Modelling Single Model Laser Instabilities","authors":"L. Casperson","doi":"10.1364/idlnos.1985.tub1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tub1","url":null,"abstract":"The topic of laser instabilities is one of the oldest subjects in laser research. Even before the first laser had been built, it had been demonstrated in 1958 that a simple semiclassical maser model could possess an intrinsic instability.1 A surge of interest in laser instability modelling followed the discovery that ruby lasers routinely produce their outputs in the form of infinite trains of short pulsations or \"spikes\".2 Since those earliest experiments, a wealth of data has been accumulated on ruby and the dozens of other laser systems that sometimes, for no apparent reason, emit infinite pulse trains. There has also been much effort expended on developing theoretical models which might account for the experimental observations, and in recent years such modelling efforts have been increasingly successful. The purpose of this presentation is to provide an overview of laser instability modelling with an emphasis on recent developments. At the outset, the various possible approaches to this subject will be briefly surveyed.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"128 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":"128137917","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":"Optical Instabilities Driven by Colored Noise","authors":"P. Hānggi, F. Moss","doi":"10.1364/idlnos.1985.thd7","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd7","url":null,"abstract":"Over the last years, there has been steadily growing interest in nonlinear systems in which the nonlinear coupling can induce phenomena such as a Hopf bifurcation, bistable behavior or chaos1). Here our focus will be on nonlinear, noisy optical systems which either undergo a continuous Hopf bifurcation or exhibit bistability. The control parameters may also be subject to fluctuations. Using the standard assumption that those fluctuations evolve on an entirely different time scale, one usually approximates the noise by white (Gaussian) fluctuations. Typical examples are the treatments of the single mode laser2) or a dye laser3) at threshold. Above threshold, the whole matter can complicate considerably. In particular, it has been realized recently, that finite noise correlation effects, e.g. in pump laser fluctuations4) or in noisy external driving laser fields, can play a crucial role. Because optical systems exhibiting bistability5,6) are particular sensitive to the details of the noise properties; as is manifested by the exponential suppression of probability of the locally unstable state, those systems are quite suitable to put to a critical test various different theories and approximations.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"189 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":"114184419","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 and Higher-Order States of CW Ring Dye Lasers*","authors":"C. R. Stroud, K. Koch, S. Chakmakjian","doi":"10.1364/idlnos.1985.tha1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tha1","url":null,"abstract":"The observations of Hillman et al. are extended to study the effects of cavity output coupling, dispersion, and pump power on the multimode instabilities that occur far above threshold.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"5 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":"114283064","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}
L. Narducci, J. Tredicce, N. Abraham, D. K. Bandy, L. Lugiato
{"title":"Steady State and Stability Properties of a Multimode Inhomogeneously Broadened Laser","authors":"L. Narducci, J. Tredicce, N. Abraham, D. K. Bandy, L. Lugiato","doi":"10.1364/idlnos.1985.thb4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thb4","url":null,"abstract":"We analyze the multiple steady states of a multimode inhomogeneously broadened ring laser and their linear stability. From these results, we predict hysteresis and pulsations for appropriate control parameters.\u0000 The effects of the inhomogeneous broadening on the unstable behavior of single-mode lasers have been documented extensively, both theoretically and experimentally1. Only limited attention, however, has been paid to the multimode extension of this problem2, in spite of the fact that the earliest multimode analysis for a homogeneously broadened ring laser appeared more than 15 years ago3.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"28 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":"114878595","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}