Self-Induced Transparency in Excitons

1974 ◽  
Vol 52 (21) ◽  
pp. 2127-2131 ◽  
Author(s):  
V. Krishan ◽  
S. Krishan
Keyword(s):  
Frequency Spectrum ◽  
Pulse Propagation ◽  
Nonlinear Effects ◽  
The Self ◽  
Coherent Light ◽  
Frenkel Excitons ◽  
Induced Transparency

The interaction of intense coherent light with Frenkel excitons has been studied for investigating the self-induced transparency. Some nonlinear effects neglected before have been included. It is found that the frequency spectrum consistent with the pulse propagation is wider by two orders of magnitude compared with the previous result.

Multi-Soliton Solutions for an Inhomogeneous Nonlinear Schrödinger– Maxwell–Bloch System in the Erbium-Doped Fiber

2011 ◽  
Vol 66 (12) ◽  
pp. 712-720 ◽  
Author(s):  
Ming Wang ◽  
Wen-Rui Shan ◽  
Xing Lü ◽  
Bo Qin ◽  
Li-Cai Liu
Keyword(s):  
Phase Shift ◽  
Symbolic Computation ◽  
Soliton Solutions ◽  
Nonlinear Effects ◽  
The Self ◽  
Optical Pulses ◽  
Nonlinear Schrödinger ◽  
Erbium Doped ◽  
Variable Dispersion ◽  
Induced Transparency

Under investigation in this paper is an inhomogeneous nonlinear Schrödinger-Maxwell-Bloch system with variable dispersion and nonlinear effects, which describes the propagation of optical pulses in an inhomogeneous erbium-doped fiber. Under certain coefficient constraints, multi-soliton solutions are obtained by the Hirota method and symbolic computation. Evolution and interaction of the solitons are plotted, and the self-induced transparency effect caused by the doped erbium atoms is found to lead to the change of the soliton velocity and phase. Overall phase shift can be observed when the parameter accounting for the interaction between the silica and doped erbium atoms is taken as a constant.

The Influence of Level Degeneracy on the Self-Induced Transparency Effect

1968 ◽  
Vol 21 (16) ◽  
pp. 1151-1155 ◽  
Author(s):  
C. K. Rhodes ◽  
A. Szöke ◽  
A. Javan
Keyword(s):  
The Self ◽  
Level Degeneracy ◽  
Induced Transparency

The effect of retarded interaction on the self-induced transparency phenomenon

1979 ◽  
Vol 92 (2) ◽  
pp. 467-472
Author(s):  
V. R. Nagibarov ◽  
O. Kh. Khasanov
Keyword(s):  
The Self ◽  
Induced Transparency

Role of anomalous self-steepening in controlling self-accelerating Airy pulses in nonlinear metamaterials

2016 ◽  
Vol 25 (01) ◽  
pp. 1650010 ◽  
Author(s):  
Jinggui Zhang ◽  
Yuanjiang Xiang ◽  
Yongfan Li ◽  
Dajun Lei ◽  
Lifu Zhang
Keyword(s):  
Pulse Propagation ◽  
Dynamical Behavior ◽  
The Self ◽  
Cubic Nonlinearity ◽  
Great Flexibility ◽  
Ultrashort Pulse Propagation ◽  
Nonlinear Metamaterials ◽  
Opposite Situation ◽  
Positive Index

The additional dispersive magnetic permeability in metamaterials (MMs) described by the Drude model is able to generate the anomalous self-steepening (SS) effect which can be positive, negative even zero. This provides more great flexibility for us to control ultrashort pulse propagation, when compared with the corresponding case in naturally positive-index materials (PIMs). In this paper, we theoretically investigate the self-accelerating control of Airy pulse through such anomalous SS effect in MMs with a cubic nonlinearity. The emphasis is given to the counterintuitive dynamical behavior different from those in PIMs. It is shown that positive SS in MMs acts to promote the self-acceleration of such pulse and the corresponding spectral features exhibits a broad redshifted behaviors, as it does in PIMs; while the negative SS gives rise to the appearance of the opposite situation. That is to say, the self-acceleration of Airy pulse will be delayed through broadening the spectrum toward blue side. Meanwhile, the effect of the specific truncation coefficient imposed on Airy pulses in MMs also be discussed under the roles of positive and negative SS, respectively. Our findings show that the SS effect in MMs can provide a more powerful tool in controlling the self-accelerating of Airy pulse when compared with the corresponding case in PIMs.

PHOTON-BUNCHING, PHOTON-ANTIBUNCHING AND NONCLASSICAL PHOTON STATISTICS OF COHERENT LIGHT COUPLED TO A CUBIC NONLINEAR MEDIUM

2003 ◽  
Vol 17 (05n06) ◽  
pp. 225-233 ◽  
Author(s):  
ANIRBAN PATHAK ◽  
SWAPAN MANDAL
Keyword(s):  
Nonlinear Medium ◽  
Single Mode ◽  
Vacuum Field ◽  
Photon Statistics ◽  
Coherent Light ◽  
Photon Correlation ◽  
Two Photon ◽  
Photon Antibunching ◽  
Induced Transparency ◽  
Zero Time

The quantum statistical properties of a single mode of the radiation field, prepared in the coherent state, interacting with a nonlinear medium of inversion symmetry are studied with the help of the usual two photon correlation function for zero time delay. We report the photon antibunching and sub-Poissonian photon statistics in addition to the usual photon bunching and the super-Poissonian photon statistics for an input vacuum field. The manipulation of the phase of input coherent light gives rise to the well known self induced transparency. The possible physical explanations for these events are presented.

Amplitude equations at the critical points of unstable dispersive physical systems

1981 ◽  
Vol 377 (1769) ◽  
pp. 185-219 ◽  
Keyword(s):  
Critical Point ◽  
Pulse Propagation ◽  
Baroclinic Instability ◽  
Soliton Solutions ◽  
Complex Conjugate ◽  
Amplitude Equations ◽  
Weakly Nonlinear ◽  
Physical Systems ◽  
Scattering Transform ◽  
Induced Transparency

The amplitude equations that govern the motion of wavetrains near the critical point of unstable dispersive, weakly nonlinear physical systems are considered on slow time and space scales T m ═ ε m t ; X m ═ ε m x ( m ═ 1, 2,...). Such systems arise when the dispersion relation for the harmonic wavetrain is purely real and complex conjugate roots appear when a control parameter ( μ ) is varied. At the critical point, when the critical wavevector k c is non-zero, a general result for this general class of unstable systems is that the typical amplitude equations are either of the form ( ∂/∂ T 1 + c 1 ∂/∂ X 1 ) (∂/∂ T 1 + c 2 ∂/∂ X 1 ) A ═ ±α A ─ β AB , ( ∂/∂ T 1 + c 2 ∂/∂ X 1 ) B ═ (∂/∂ T 1 + c 1 ∂/∂ X 1 ) | A | 2 , or of the form ( ∂/∂ T 1 + c 1 ∂/∂ X 1 ) (∂/∂ T 1 + c 2 ∂/∂ X 1 ) A ═ ±α A - β A | A | 2 . The equations with the AB -nonlinearity govern for example the two-layer model for baroclinic instability and self-induced transparency (s. i. t.) in ultra-short optical pulse propagation in laser physics. The second equation occurs for the two-layer Kelvin-Helmholtz instability and a problem in the buckling of elastic shells. This second type of equation has been considered in detail by Weissman. The AB -equations are particularly important in that they are integrable by the inverse scattering transform and have a variety of multi-soliton solutions. They are also reducible to the sine-Gordon equation ϕ ξƬ ═ ± sin ϕ when A is real. We prove some general results for this type of instability and discuss briefly their applications to various other examples such as the two-stream instability. Examples in which dissipation is the dominant mechanism of the instability are also briefly considered. In contrast to the dispersive type which operates on the T 1 -time scale, this type operates on the T 2 -scale.

Manipulation of pulse propagation in a four-level quantum system via an elliptically polarized light in the presence of external magnetic field

2015 ◽  
Vol 29 (30) ◽  
pp. 1550185 ◽  
Author(s):  
R. Karimi ◽  
S. H. Asadpour ◽  
S. Batebi ◽  
H. Rahimpour Soleimani
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Pulse Propagation ◽  
Electromagnetically Induced Transparency ◽  
Polarized Light ◽  
Group Index ◽  
Probe Field ◽  
Coherent Field ◽  
Fast Light ◽  
Induced Transparency

The influence of external magnetic field and relative phase between two electric field components of the probe field on absorption–dispersion and group index of a four-level atomic system with two degenerate sublevels are investigated. The results show that, the behaviors of weak probe light can be controlled by an external magnetic field. It is shown that in the presence of the external magnetic field the additional electromagnetically induced transparency (EIT) window can be obtained. Our result also reveal that the switching from slow to fast light or vice versa can be manipulated by changing the phase difference between the two circularly polarized components of a single coherent field.

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