Nondegenerate solution of TE and TM modes in step-index fibers using power-series expansion method

1985 ◽  
Vol 3 (3) ◽  
pp. 612-618 ◽  
Author(s):  
S. Gedam ◽  
S. Mitra
Keyword(s):  
Power Series ◽  
Series Expansion ◽  
Power Series Expansion ◽  
Expansion Method ◽  
Step Index ◽  
Te And Tm Modes ◽  
Series Expansion Method

Power series expansion method and its applications to nonlinear wave equation

2003 ◽  
Vol 309 (3-4) ◽  
pp. 234-239 ◽  
Author(s):  
Shikuo Liu ◽  
Zuntao Fu ◽  
Shida Liu ◽  
Qiang Zhao
Keyword(s):  
Wave Equation ◽  
Power Series ◽  
Nonlinear Wave ◽  
Series Expansion ◽  
Nonlinear Wave Equation ◽  
Power Series Expansion ◽  
Expansion Method ◽  
Series Expansion Method

THE CURRENT CHARACTERISTICS OF TWO-STATE FLASHING RATCHETS COMPOSED OF TWO ASYMMETRIC POTENTIALS

2008 ◽  
Vol 22 (30) ◽  
pp. 2967-2978 ◽  
Author(s):  
TIANFU GAO ◽  
YUE ZHANG ◽  
JINCAN CHEN
Keyword(s):  
Power Series ◽  
Power Series Expansion ◽  
Expansion Method ◽  
Transition Rates ◽  
Probability Current ◽  
Brownian Particles ◽  
Analytic Expression ◽  
Current Characteristics ◽  
Flashing Ratchets ◽  
Series Expansion Method

The transport of Brownian particles in two-state flashing ratchets composed of two asymmetric potentials with the same period is investigated. The analytic expression of a probability current is derived by using the power series expansion method and used to generate the curve characteristics of the current varying with other parameters. The effects of the asymmetric parameters and heights of two potentials and the transition rates between two states on the probability current are discussed in detail. The influence of other parameters on the behaviors of the current is also analyzed. It is found that the current is affected by not only the asymmetric parameters and heights of two potentials but also the transition rates between two states. It is also found that the heights of two potentials may change the magnitude as well as the direction of the current when the transition rates between two states are not the same. It is expected that the results obtained here may be observed in some physical and biological systems.

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