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Bifurcation Analysis of Bistable Systems Disturbed by External Noise: an Application of Cumulant Analysis 受外界噪声干扰的双稳系统的分岔分析:累积量分析的应用
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1992.tuc14
V. S. Anischenko, A. Neiman
{"title":"Bifurcation Analysis of Bistable Systems Disturbed by External Noise: an Application of Cumulant Analysis","authors":"V. S. Anischenko, A. Neiman","doi":"10.1364/nldos.1992.tuc14","DOIUrl":"https://doi.org/10.1364/nldos.1992.tuc14","url":null,"abstract":"Summary not available at press time.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"27 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":"121165971","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}
引用次数: 0
Statistical Features of a CO2 Laser with Pump Modulation 泵浦调制CO2激光器的统计特性
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.ld424
M. Ciofini, R. Meucci, F. Arecchi
{"title":"Statistical Features of a CO2 Laser with Pump Modulation","authors":"M. Ciofini, R. Meucci, F. Arecchi","doi":"10.1364/nldos.1990.ld424","DOIUrl":"https://doi.org/10.1364/nldos.1990.ld424","url":null,"abstract":"We report the behaviour of a single mode homogeneously broadened CO2 laser when the gain parameter is swept from a negative value (laser below threshold) to a positive one (laser above threshold), so that the dynamical system goes through a bifurcation point. The modulation of the control parameter (gain) is done by repeatedly applying a linear ramp to the discharge current. As the gain never takes the stationary value associated with the instantaneous current value, the observed bifurcation is delayed with respect to the time at which the control parameter passes through the instability [1].","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"8 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":"126642592","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}
引用次数: 0
Generic Properties of Periodic Attractors in Two-Photon Processes 双光子过程中周期吸引子的一般性质
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.ob257
P. Mandel, Nicolas Pettiaux, Wang Kaige, P. Galatola, L. Lugiato
{"title":"Generic Properties of Periodic Attractors in Two-Photon Processes","authors":"P. Mandel, Nicolas Pettiaux, Wang Kaige, P. Galatola, L. Lugiato","doi":"10.1364/nldos.1990.ob257","DOIUrl":"https://doi.org/10.1364/nldos.1990.ob257","url":null,"abstract":"We show that the periodic attractors occurring in two-photon processes displaying a phase instability have common properties including a domain of hysteresis. The case of degenerate four-wave mixing includes also some nongeneric attractors which exhibit a Berry phase phenomenon.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in 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":"125224489","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}
引用次数: 0
Nonlinearities in the Characteristic Curve for Single-Mode InGaAsP Lasers with Weak Optical Feedback 弱光反馈单模InGaAsP激光器特性曲线的非线性
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.tdsls42
M. Milani, F. Brivio, F. Calcaterra, G. Chiaretti
{"title":"Nonlinearities in the Characteristic Curve for Single-Mode InGaAsP Lasers with Weak Optical Feedback","authors":"M. Milani, F. Brivio, F. Calcaterra, G. Chiaretti","doi":"10.1364/nldos.1990.tdsls42","DOIUrl":"https://doi.org/10.1364/nldos.1990.tdsls42","url":null,"abstract":"In a microscopic approach to single-mode semiconductor laser dynamics, the nonlinear dependence of interband carrier lifetime on optical field intensity accounts for some nonlinearities in the characteristic curve appearing in the weak feedback regime. The comparison with actual optical communication systems is discussed.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in 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":"121443245","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}
引用次数: 0
Quantum Noise Reduction in Nondegenerate Four-wave Mixing above Threshold 阈值以上非简并四波混频的量子降噪
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.ld348
M. Brambilla, G. Strini, L. Lugiato, F. Prati
{"title":"Quantum Noise Reduction in Nondegenerate Four-wave Mixing above Threshold","authors":"M. Brambilla, G. Strini, L. Lugiato, F. Prati","doi":"10.1364/nldos.1990.ld348","DOIUrl":"https://doi.org/10.1364/nldos.1990.ld348","url":null,"abstract":"It is well known that nondegenerate four-wave mixing is one of the main mechanisms to produce nonclassical states of the electromagnetic field. As a matter of fact, the squeezing effect was first observed in this configuration1. Recently, sub-shot noise character in the fluctuations in the difference of the intensities of the two signal beams has been experimentally detected2, in analogy with the well known case of nondegenerate parametric oscillators3.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in 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":"127886149","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}
引用次数: 0
Theoretical Analysis of the Dynamics in a Laser with Lagging Negative Feedback 滞后负反馈激光器动力学特性的理论分析
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.ld372
E. Grigoryeva, N. Loiko, A. M. Samson, S. A. Kashchenko
{"title":"Theoretical Analysis of the Dynamics in a Laser with Lagging Negative Feedback","authors":"E. Grigoryeva, N. Loiko, A. M. Samson, S. A. Kashchenko","doi":"10.1364/nldos.1990.ld372","DOIUrl":"https://doi.org/10.1364/nldos.1990.ld372","url":null,"abstract":"This paper is devoted to the investigation of the dynamics in a laser with a nonlinear element whose loss depends on the laser intensity at a preceding instance of time determined by the length of the additional feedback loop. The phenomenon of multistability and the structure of the set of solutions are analytically described. The regions of the existence and the initial conditions at which their realization is possible have been determined. The possibility of the system’s complicated behaviour is shown and the sequence of bifurcations leading to chaos has been found.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"48 2 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":"127725320","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}
引用次数: 0
High-Order Diffraction Due to Two-Beam Mixing in Photorefractive SBN:Ce 光折变SBN:Ce中双光束混合引起的高阶衍射
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.dmmpcps488
Hong-jun Zhang, Z. Tang, T. Moore, R. Boyd
{"title":"High-Order Diffraction Due to Two-Beam Mixing in Photorefractive SBN:Ce","authors":"Hong-jun Zhang, Z. Tang, T. Moore, R. Boyd","doi":"10.1364/nldos.1990.dmmpcps488","DOIUrl":"https://doi.org/10.1364/nldos.1990.dmmpcps488","url":null,"abstract":"Experimental observation of high-order diffraction in photorefractive SBN:Ce is reported. When two beams of nearly equal intensity are crossed in the crystal at a small angle (<1°) the transmitted beam contains many diffracted orders. Results are compared to thin grating scattering theory (i.e. Raman-Nath scattering).","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"25 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":"114911165","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}
引用次数: 0
Transient statistics in the switch-on of class B lasers. B类激光器开启时的瞬态统计。
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1992.fa4
S. Ballé, M. S. Miguel, N. Abraham
{"title":"Transient statistics in the switch-on of class B lasers.","authors":"S. Ballé, M. S. Miguel, N. Abraham","doi":"10.1364/nldos.1992.fa4","DOIUrl":"https://doi.org/10.1364/nldos.1992.fa4","url":null,"abstract":"The transient evolution of the output of a single-mode class B laser (SML) after it is switched-on has been characterized from an experimental point of view by the evolution of the output intensity,[1, 2] both in the linear and non-linear regimes. However, from a theoretical point of view the characterization of the transient statistics of a SML beyond the linear regime has not been considered in detail. [3-5] Nevertheless, it has been possible to analyze both the linear and non-linear regimes for class A lasers,[6] showing that the transient statistics during the non-linear regime constitute a mapping of the transient statistics in the linear regime. In this case, an approximate solution for a switch-on event can be constructed (QDT approximation, [7]) which allows to examine the correspondence between the transient statatistics in both regimes. The main difficulty for a SML arises from the fact that no analytical solution of the deterministic rate equations is known, though it has been shown numerically[3, 4] that the QDT approximation succesfully explains the transient statistics in both the linear and non-linear regimes. Accordingly, we expect that the transient statistics in the non-linear regime can be understood as a mapping of the Passage Time (PT) statistics. The reason is that the random PT t* - defined as the time when the intensity reaches a reference value I\u0000 r\u0000 – determines both the beginning of a deterministic stage of evolution and the initial conditions for this period,[3-5] which lasts until the vicinity of the asymptotic steady state is reached.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"321 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":"132279152","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}
引用次数: 0
Transient Evolution, Stability for Disturbances, Multistability, and Chaos of Transverse Spatial Structures of a Lightwave Propagating in a Ring System with Inertial Nonlinear Medium 含惯性非线性介质的环形系统中光波传播的瞬态演化、扰动稳定性、多重稳定性和横向空间结构混沌
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.ob271
K. Komarov
{"title":"Transient Evolution, Stability for Disturbances, Multistability, and Chaos of Transverse Spatial Structures of a Lightwave Propagating in a Ring System with Inertial Nonlinear Medium","authors":"K. Komarov","doi":"10.1364/nldos.1990.ob271","DOIUrl":"https://doi.org/10.1364/nldos.1990.ob271","url":null,"abstract":"In this paper we present our theoretical researches on shaping and stability of the transverse spatial radiation distribution in nonlinear systems. The analysis is based on constructing the Lyapunov functionals. We have determined the conditions for stable self-channelling of a light wave, its unlimited spreading, complication and chaos of transverse spatial distribution of radiation. It is demonstrated that a multithreshold self-channelling arises in nonlinear systems with several different focusing nonlinearities. The multistability phenomenon is discovered in the case of combination of focusing and defocusing nonlinea­rities.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in 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":"130451182","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}
引用次数: 0
Dynamical Effects Induced by the Variation of the Squeezing Phase 挤压相位变化引起的动力学效应
Nonlinear Dynamics in Optical Systems Pub Date : 1900-01-01 DOI: 10.1364/nldos.1990.stsa582
P. Galatola, L. Lugiato, M. G. Porreca, P. Tombesi
{"title":"Dynamical Effects Induced by the Variation of the Squeezing Phase","authors":"P. Galatola, L. Lugiato, M. G. Porreca, P. Tombesi","doi":"10.1364/nldos.1990.stsa582","DOIUrl":"https://doi.org/10.1364/nldos.1990.stsa582","url":null,"abstract":"We show that the switchings of a standard single- mode optical bistable system can be obtained by varying the phase of a squeezed vacuum field interacting with the atomic medium, without changing any other control parameter, and in particular the input field.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"12 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":"116999164","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}
引用次数: 0
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