{"title":"Effects Of Stark Shifts On Two-Photon Sidemode Instabilities","authors":"Snlomo Ovadia, M. Sargent","doi":"10.1364/idlnos.1985.wd4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd4","url":null,"abstract":"In a recent paper,1 we considered the stability of single-mode operation in two-photon lasers and two-photon optical bistability.2 The models assumed that two photons of equal or nearly equal frequencies span the atomic two-photon transition, with no resonant intermediate levels. The paper neglects possible Stark shifts of the two levels due to virtual transitions to nonresonant levels and back. For one-photon processes, these virtual transitions can be neglected because they have one nonresonant denominator. They cannot in general be neglected for the two-photon case, however, since all transition probabilities have at least one nonresonant denominator. In this paper we give formulas and illustrations for the two-photon two-level absorption and coupling coefficients including Stark shifts. For vanishing shifts, the coefficients have symmetric spectra that look very similar to their one-photon counterparts, but for nonzero shifts, they have asymmetric spectra with exaggerated resonances. These resonances appear to increase the likelihood of instabilities for certain combinations of pump detuning and Stark shifts.","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":"132241526","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 Chaos in Multimode Homogeneously Broadened Lasers","authors":"P. Milonni, M. Shih","doi":"10.1364/idlnos.1985.tha2","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tha2","url":null,"abstract":"The experiments of Hillman, et al. [1] with a ring dye laser indicate that single-mode homogeneously broadened oscillation is intrinsically unstable at high pumping levels. Motivated by this work, we have considered various formulations of the general multimode problem. We find that certain aspects of these experiments, such as the transition from single to multimode oscillation with increased pumping, can be understood within the thin-sheet gain model in which spatial hole burning is completely ignored. (We hope by the time of our presentation to be more precise about the comparison of theory and experiment.) Following the bifurcation of the single-mode steady state and the onset of two modes symmetrically displaced about line center, there is a period-doubling route to chaos which is not evident in the experiments thus far. The familiar \"gain clamping\" assumption of single-mode oscillation in a homogeneously broadened laser is incorrect at high pumping levels, even in the absence of spatial hole burning. Our results appear to be consistent with the arguments advanced by Hillman, et al. on the basis of a model in which the atoms are driven by the field but do not react back on it.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"15 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":"125082798","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":"Gain and Loss Fluctuations in Nonlinear Optical Systems","authors":"A. Schenzle","doi":"10.1364/idlnos.1985.thd3","DOIUrl":"https://doi.org/10.1364/idlnos.1985.thd3","url":null,"abstract":"The interaction of light and matter can be described by a set of coupled nonlinear evolution equations for the material and electromagnetic fields. In order to account for the effects of vacuum fluctuations, noise forces which cause spontaneous transitions have to be included. In these macroscopic systems various sources of noise besides fundamental quantum fluctuations exist which are of macroscopic origin. These cause fluctuations of the cavity dissipation as well as of the external pumping power. In the course of an adiabatic elimination procedure, these fluctuations appear as multiplicative noise in the equations of motion (e.g. for the field intensity, due to the nonlinearity of the interaction). While fluctuations of the cavity damping create noise linear in the field intensity, randomness in the pump strength causes fluctuations that depend nonlinearly on the light intensity. In this respect, the noise terms enter the equations of motion quite differently and have to be distinguished from spontaneous emission noise which is independent of the field strength, and is the basis of all traditional laser models.","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":"132039222","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":"Non-Feigenbaum Route to Chaos of a Nonlinear Ring Cavity with Infinite Temporal Dimension","authors":"M. Le Berre, E. Ressayre, A. Tallet, H. Gibbs","doi":"10.1364/idlnos.1985.wd32","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd32","url":null,"abstract":"The equations of motion for a ring cavity containing a cell of two-level atoms are where E0 and ε(t) are the cw input and intracavity electric field amplitudes at the input mirror. The phase difference {ϕ(t) - ϕ(0)} gives a measure of the amount of energy absorbed by the atoms and χϕ(t) is proportional to the instantaneous complex nonlinear refractive index. Other parameters in Eqs. (1) and (2) are the reflectivity factor R = 1 - T, γ-1 the inversion relaxation time for an atom, and τR the round-trip time.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"367 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":"115978310","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 the Theory of Optical Bistability","authors":"H. Carmichael","doi":"10.1364/idlnos.1985.wa1","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wa1","url":null,"abstract":"The theory of optical bistability can be developed at various levels of sophistication.(1) In this overview I have chosen an approach which I hope will make the simplicity and generality of the phenomenon clear, and be suited to the emphasis of this meeting. I will describe a deterministic, semiclassical theory of optical bistability, based on coupled Maxwell-Bloch equations. Statistical and quantum statistical theories will not be included. I also limit my attention to questions concerning steady states and their stability, leaving the theory of higher bifurcations to other speakers.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"22 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":"116682312","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":"Intrinsic Oscillations and Multistability in the Trasmission of a Na Vapor filled Fabry-Perot in absence of a Buffer Gas.","authors":"P. Salieri, G. Giusfredi, S. Cecchi, F. Arecchi","doi":"10.1364/idlnos.1985.wa4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wa4","url":null,"abstract":"In previous experiments on the trasmission properties of a Fabry-Perot interferometer filled with Na vapor |1,2| a buffer gas was added to collisionally broaden the resonance, with velocity changing collisions inducing broad ground state pumping over the whole line. Here we consider the very different inhomogeneous regime (no buffer gas), where optical pumping takes place on single homogeneous velocity groups. We carefully control direction and strength of the magnetic field and examine the cavity transmission properties, both in intensity and polarization, in the temperature range 130 - 180 °C (0.5 - 9.2·1011 atoms/cm3), as the laser is tuned across the DI line.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"89 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":"128195282","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. Van Lerberghe, P. Cottin, J. Boulnois, F. Arecchi, G. Puccioni
{"title":"Chaotic Behavior in a CO2 Ring Laser with Injected Signal","authors":"A. Van Lerberghe, P. Cottin, J. Boulnois, F. Arecchi, G. Puccioni","doi":"10.1364/idlnos.1985.fa8","DOIUrl":"https://doi.org/10.1364/idlnos.1985.fa8","url":null,"abstract":"Laser instabilities and chaotic behavior have been observed in several single mode laser systems. In the case of homogeneously broadened media with rapidly relaxing polarization rates, it has been theoretically predicted that introduction of an unmodulated external field can destabilize the system (1). In the case of such lasers with an injected signal, numerical results show the existence of a self Q-switch process with induced relaxation oscillations (2).","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"185 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":"128185785","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":"Squeezed-coherent State Generation via Wideband Four-wave Mixers","authors":"B. Yurke","doi":"10.1364/idlnos.1985.wd21","DOIUrl":"https://doi.org/10.1364/idlnos.1985.wd21","url":null,"abstract":"Four-wave mixers have been investigated theoretically as potential sources of squeezed-coherent radiation 1,2 and there are a number of experimental efforts underway to demonstrate the production of squeezed-coherent radiation via such devices.3,4,5 Here the results of some wideband calculations of the output of cavity four-wave mixers is presented. The wideband squeezed-coherent radiation generated by such devices may be detected via a wideband homodyne detector.6 Wideband squeezing will manifest itself in the noise-power spectrum of the homodyne detector's output as regions where the noise is reduced below the level that is observed when no light enters the input port of the homodyne detector. Wideband homodyne detection allows one to look for squeezing at frequencies far from d.c. This gives the experimentalist the freedom to look for squeezing in the frequency range where his detector performs best.","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":"129268024","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 Source of Multimode Instabilities in Homogeneously Broadened Lasers","authors":"L. W. Hillman, K. Koch","doi":"10.1364/idlnos.1985.tha3","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tha3","url":null,"abstract":"Multimode instabilities result from a parametric coupling of off-resonant cavity modes. We will present a series of numerical and analytic calculations that clarify the nature of the coupling.","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"71 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":"130862874","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 in Quanium Optical Systems with a Modulated Feedback","authors":"J. Tredicce, G. Delfino, R. Meucci","doi":"10.1364/idlnos.1985.tuc4","DOIUrl":"https://doi.org/10.1364/idlnos.1985.tuc4","url":null,"abstract":"During the last years, different hybrid bistable systems have been proposed (1,2) and have been used as a test bench for chaotic approach problems (3,4,5). In such systems the necessary condition in order to reach a turbolent behaviour is that the delay time (τ) in the feedback is greater than the response time of the system itself (tR).","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":"129858962","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}