Self-modulation of pulses in Kerr medium and limits of the single-mode approximation

1999 ◽  
Author(s):  
Dmitri Kouznetsov ◽  
Eduardo Gomez
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Single Mode Approximation

Chaos Control in Single Mode Approximation of T-AFM Systems Using Nonlinear Delayed Feedback Based on Sliding Mode Control

2007 ◽  
Author(s):  
Hoda Sadeghian ◽  
Mehdi Tabe Arjmand ◽  
Hassan Salarieh ◽  
Aria Alasty
Keyword(s):  
Feedback Control ◽  
High Performance ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Single Mode ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Model Parameters ◽  
Unstable Periodic Orbits ◽  
Single Mode Approximation

The taping mode Atomic Force Microscopic (T-AFM) can be properly described by a sinusoidal excitation of its base and nonlinear potential interaction with sample. Thus the cantilever may cause chaotic behavior which decreases the performance of the sample topography. In this paper a nonlinear delayed feedback control is proposed to control chaos in a single mode approximation of a T-AFM system. Assuming model parameters uncertainties, the first order Unstable Periodic Orbits (UPOs) of the system is stabilized using the sliding nonlinear delayed feedback control. The effectiveness of the presented methods is numerically verified and the results show the high performance of the controller.

Field calculation for the horn waveguide transition in the single-mode approximation of the cross-sections method

2017 ◽  
Author(s):  
Migran Gevorkyan ◽  
Dmitriy Kulyabov ◽  
Konstantin Lovetskiy ◽  
Leonid Sevastianov ◽  
Anton Sevastianov
Keyword(s):  
Cross Sections ◽  
Single Mode ◽  
Field Calculation ◽  
Waveguide Transition ◽  
Single Mode Approximation ◽  
The Cross

scholarly journals Stability conditions and the single mode approximation in FQHE

1996 ◽  
Vol 222 (4) ◽  
pp. 263-268 ◽  
Author(s):  
Alejandro Cabo ◽  
Aurora Pérez-Martinez
Keyword(s):  
Single Mode ◽  
Stability Conditions ◽  
Single Mode Approximation

N-ORDER SQUEEZING AND POISSONIAN STATISTICS OF A FOUR-LEVEL W-TYPE ATOM INTERACTING WITH ONE-MODE CAVITY FIELD

2011 ◽  
Vol 25 (22) ◽  
pp. 3001-3009 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Electromagnetic Field ◽  
Excited State ◽  
Coherent State ◽  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Maximum Value ◽  
Quantized Electromagnetic Field ◽  
Poissonian Statistics

In this paper we consider a four-level W-type atom interacting with a single-mode quantized electromagnetic field in the presence of the Kerr medium. The atom and the field are initially prepared in the excited state and coherent state, respectively. The influence of the Kerr medium on the N-order squeezing and Poissonian statistics is investigated. We found that the maximum value of squeezing decreases by increasing the order N. Also, we noticed that the Kerr-like medium decreases the amount of squeezing and increases the sub-Poissonian statistics.

INTENSITY DEPENDENT COUPLING HAMILTONIAN VIA MULTI-PHOTON INTERACTION IN A KERR MEDIUM

2003 ◽  
Vol 17 (30) ◽  
pp. 5795-5810 ◽  
Author(s):  
R. A. ZAIT
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Field Mode ◽  
Atomic Inversion ◽  
Two Photon ◽  
Level Atom ◽  
The One ◽  
Q Function ◽  
Quasiprobability Distribution

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.

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