Modulation instabilities in the randomly birefringent two-mode optical fibers （RB-TMFs） are analyzed in detail by accounting the effects of the differential mode group delay （DMGD） and group velocity dispersion （...Modulation instabilities in the randomly birefringent two-mode optical fibers （RB-TMFs） are analyzed in detail by accounting the effects of the differential mode group delay （DMGD） and group velocity dispersion （GVD） ratio between the two modes, both of which are absent in the randomly birefringent single-mode optical fibers （RB-SMFs）. New MI characteristics are found in both normal and anomalous dispersion regimes. For the normal dispersion, without DMGD, no MI exists. With DMGD, a completely new MI band is generated as long as the total power is smaller than a critical total power value, named by Per, which increases significantly with the increment of DMGD, and reduces dramatically as GVD ratio and power ratio between the two modes increases. For the anomalous dispersion, there is one MI band without DMGD. In the presence of DMGD, the MI gain is reduced generally. On the other hand, there also exists a critical total power （Per）, which increases （decreases） distinctly with the increment of DMGD （GVD ratio of the two modes） but varies complicatedly with the power ratio between the two modes. Two MI bands are present for total power smaller than Per, and the dominant band can be switched between the low and high frequency bands by adjusting the power ratio between the two modes. The M1 analysis in this paper is verified by numerical simulation.展开更多
Experiment was conducted to study Gaussian pulse transmission over ultra-high PMD fiber. Gaussian pulse is broken into a series of deformed pulses when it transmits over ultra-high PMD fiber. It is indicated that the ...Experiment was conducted to study Gaussian pulse transmission over ultra-high PMD fiber. Gaussian pulse is broken into a series of deformed pulses when it transmits over ultra-high PMD fiber. It is indicated that the walk-off deformed pulses were caused by ultra-high PMD. Transmitted experiment has been done using fiber with PMD coefficient 237.95ps/km1/2. The result of the experiment is consistent with the simulated one.展开更多
In this paper,we develop and study numerical methods for the two-mode shallow water equations recently proposed in[S.STECHMANN,A.MAJDA,and B.KHOUIDER,Theor.Comput.Fluid Dynamics,22(2008),pp.407–432].Designing a relia...In this paper,we develop and study numerical methods for the two-mode shallow water equations recently proposed in[S.STECHMANN,A.MAJDA,and B.KHOUIDER,Theor.Comput.Fluid Dynamics,22(2008),pp.407–432].Designing a reliable numerical method for this system is a challenging task due to its conditional hyperbolicity and the presence of nonconservative terms.We present several numerical approaches—two operator splitting methods(based on either Roe-type upwind or central-upwind scheme),a central-upwind scheme and a path-conservative centralupwind scheme—and test their performance in a number of numerical experiments.The obtained results demonstrate that a careful numerical treatment of nonconservative terms is crucial for designing a robust and highly accurate numerical method。展开更多
In this survey, we present single-photon states of electromagnetic felds, discuss discrete measurements of a single-photonfeld, show how a linear quantum system responds to a single-photon input, investigate how a coh...In this survey, we present single-photon states of electromagnetic felds, discuss discrete measurements of a single-photonfeld, show how a linear quantum system responds to a single-photon input, investigate how a coherent feedback network canbe used to manipulate the temporal pulse shape of a single-photon state, present single-photon flter and master equations,and fnally discuss the generation of Schrödinger cat states by means of photon addition and subtraction.展开更多
基金Project supported by the Natural Science Foundation of Jiangsu Provincial Universities(Grant No.14KJB140009)the National Natural Science Foundation of China(Grant No.11447113)the Startup Foundation for Introducing Talent of NUIST(Grant No.2241131301064)
文摘Modulation instabilities in the randomly birefringent two-mode optical fibers （RB-TMFs） are analyzed in detail by accounting the effects of the differential mode group delay （DMGD） and group velocity dispersion （GVD） ratio between the two modes, both of which are absent in the randomly birefringent single-mode optical fibers （RB-SMFs）. New MI characteristics are found in both normal and anomalous dispersion regimes. For the normal dispersion, without DMGD, no MI exists. With DMGD, a completely new MI band is generated as long as the total power is smaller than a critical total power value, named by Per, which increases significantly with the increment of DMGD, and reduces dramatically as GVD ratio and power ratio between the two modes increases. For the anomalous dispersion, there is one MI band without DMGD. In the presence of DMGD, the MI gain is reduced generally. On the other hand, there also exists a critical total power （Per）, which increases （decreases） distinctly with the increment of DMGD （GVD ratio of the two modes） but varies complicatedly with the power ratio between the two modes. Two MI bands are present for total power smaller than Per, and the dominant band can be switched between the low and high frequency bands by adjusting the power ratio between the two modes. The M1 analysis in this paper is verified by numerical simulation.
基金supported by the National Natural Science Foundation of China(Grant No.69903001)863 Project of China(2001AA122042)Pandeng Foundation of Northern Jiaotong University
文摘Experiment was conducted to study Gaussian pulse transmission over ultra-high PMD fiber. Gaussian pulse is broken into a series of deformed pulses when it transmits over ultra-high PMD fiber. It is indicated that the walk-off deformed pulses were caused by ultra-high PMD. Transmitted experiment has been done using fiber with PMD coefficient 237.95ps/km1/2. The result of the experiment is consistent with the simulated one.
基金Spanish Government and FEDER through the Research project MTM2012-38383-C02-01the Andalusian Government through the project P11-FQM8179.The work of A.Chertock was supported in part by the NSF Grant DMS-1216974 and the ONR Grant N00014-12-1-0832The work of A.Kurganov was supported in part by the NSF Grant DMS-1216957 and the ONR Grant N00014-12-1-0833。
文摘In this paper,we develop and study numerical methods for the two-mode shallow water equations recently proposed in[S.STECHMANN,A.MAJDA,and B.KHOUIDER,Theor.Comput.Fluid Dynamics,22(2008),pp.407–432].Designing a reliable numerical method for this system is a challenging task due to its conditional hyperbolicity and the presence of nonconservative terms.We present several numerical approaches—two operator splitting methods(based on either Roe-type upwind or central-upwind scheme),a central-upwind scheme and a path-conservative centralupwind scheme—and test their performance in a number of numerical experiments.The obtained results demonstrate that a careful numerical treatment of nonconservative terms is crucial for designing a robust and highly accurate numerical method。
基金The author thanks financial support from the Hong Kong Research Grant Council(Nos.15208418,15203619)the Shenzhen Fundamental Research Fund,China(No.JCYJ20190813165207290)the CAS AMSS-polyU Joint Laboratory of Applied Mathematics.
文摘In this survey, we present single-photon states of electromagnetic felds, discuss discrete measurements of a single-photonfeld, show how a linear quantum system responds to a single-photon input, investigate how a coherent feedback network canbe used to manipulate the temporal pulse shape of a single-photon state, present single-photon flter and master equations,and fnally discuss the generation of Schrödinger cat states by means of photon addition and subtraction.
