Simulation of the Steady-State Photocarrier Grating Method Applied to Amorphous Materials

1992 ◽  
Vol 258 ◽  
Author(s):  
C.-D. Abel ◽  
G. H. Bauer
Keyword(s):  
Numerical Simulation ◽  
Steady State ◽  
Electric Field ◽  
Closed Form ◽  
Analytical Model ◽  
Amorphous Materials ◽  
Grating Period ◽  
Amorphous Semiconductors ◽  
Closed Form Expression ◽  
Form Expression

ABSTRACTGeneral features of the steady-state photocarrier grating technique applied to amorphous semiconductors are investigated by complete numerical simulation. The results are interpreted with an analytical model which delivers a closed-form expression for β(A,E) assuming dominance of one carrier type. The variation of the electric field E instead of the grating period A is suggested as an easier and more accurate tool for the experimental technique.

A closed-form equation for steady-state availability of cold standby repairable k-out-of-n

2019 ◽  
Vol 37 (1) ◽  
pp. 145-155
Author(s):  
Afshin Yaghoubi ◽  
Seyed Taghi Akhavan Niaki ◽  
Hadi Rostamzadeh
Keyword(s):  
Steady State ◽  
Closed Form ◽  
Design Methodology ◽  
Closed Form Expression ◽  
System Failure ◽  
Exponential Distributions ◽  
Form Expression ◽  
Content Type ◽  
Cold Standby ◽  
Markov Method

Purpose The purpose of this paper is to derive a closed-form expression for the steady-state availability of a cold standby repairable k-out-of-n system. This makes the availability calculation much easier and accurate. Design/methodology/approach Assuming exponential distributions for system failure and repair, the Markov method is employed to derive the formula. Findings The proposed formula establishes an easier and faster venue and provides accurate steady-state availability. Research limitations/implications The formula is valid for the case when the probability density function of the component failure and the repair is exponential. Originality/value The Markov method has never been used in the literature to derive the steady-state availability of a cold standby repairable k-out-of-n: G system.

scholarly journals Approximate Closed-Form Expression of the Electric Field of a Conical Horn Antenna

2011 ◽  
pp. 48-54
Author(s):  
Mohammad Asif Zaman ◽  
Md. Gaffar ◽  
Md. Mushfiqul Alam ◽  
Sayed Ashraf Mamun ◽  
Sajid Muhaimin Choudhury ◽  
...  
Keyword(s):  
Electric Field ◽  
Closed Form ◽  
Horn Antenna ◽  
Closed Form Expression ◽  
Form Expression ◽  
Conical Horn

scholarly journals Synthesizing of Planar and Conformal Double-Sided Parallel-Cross Dipoles FSS Based on Closed-Form Expression

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Yassine Zouaoui ◽  
Larbi Talbi ◽  
Khelifa Hettak ◽  
Naresh K. Darimireddy
Keyword(s):  
Closed Form ◽  
Closed Form Expression ◽  
Form Expression

Distribution of Consensus in a Broadcasting-based Consensus-forming Algorithm

2021 ◽  
Vol 48 (3) ◽  
pp. 91-96
Author(s):  
Shigeo Shioda
Keyword(s):  
Distribution Function ◽  
Probability Density Function ◽  
Closed Form ◽  
Probability Density ◽  
Infinite Number ◽  
Stable Distribution ◽  
Random Variable ◽  
Cauchy Distribution ◽  
Closed Form Expression ◽  
Form Expression

The consensus achieved in the consensus-forming algorithm is not generally a constant but rather a random variable, even if the initial opinions are the same. In the present paper, we investigate the statistical properties of the consensus in a broadcasting-based consensus-forming algorithm. We focus on two extreme cases: consensus forming by two agents and consensus forming by an infinite number of agents. In the two-agent case, we derive several properties of the distribution function of the consensus. In the infinite-numberof- agents case, we show that if the initial opinions follow a stable distribution, then the consensus also follows a stable distribution. In addition, we derive a closed-form expression of the probability density function of the consensus when the initial opinions follow a Gaussian distribution, a Cauchy distribution, or a L´evy distribution.

scholarly journals Colored HOMFLY-PT for hybrid weaving knot $$ {\hat{\mathrm{W}}}_3 $$(m, n)

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Vivek Kumar Singh ◽  
Rama Mishra ◽  
P. Ramadevi
Keyword(s):  
Closed Form ◽  
Topological Strings ◽  
Chebyshev Polynomials ◽  
Fibonacci Numbers ◽  
Infinite Family ◽  
Closed Form Expression ◽  
Two Dimensional ◽  
Laurent Polynomials ◽  
Form Expression ◽  
Torus Knots

Abstract Weaving knots W(p, n) of type (p, n) denote an infinite family of hyperbolic knots which have not been addressed by the knot theorists as yet. Unlike the well known (p, n) torus knots, we do not have a closed-form expression for HOMFLY-PT and the colored HOMFLY-PT for W(p, n). In this paper, we confine to a hybrid generalization of W(3, n) which we denote as $$ {\hat{W}}_3 $$ W ̂ 3 (m, n) and obtain closed form expression for HOMFLY-PT using the Reshitikhin and Turaev method involving $$ \mathrm{\mathcal{R}} $$ ℛ -matrices. Further, we also compute [r]-colored HOMFLY-PT for W(3, n). Surprisingly, we observe that trace of the product of two dimensional $$ \hat{\mathrm{\mathcal{R}}} $$ ℛ ̂ -matrices can be written in terms of infinite family of Laurent polynomials $$ {\mathcal{V}}_{n,t}\left[q\right] $$ V n , t q whose absolute coefficients has interesting relation to the Fibonacci numbers $$ {\mathrm{\mathcal{F}}}_n $$ ℱ n . We also computed reformulated invariants and the BPS integers in the context of topological strings. From our analysis, we propose that certain refined BPS integers for weaving knot W(3, n) can be explicitly derived from the coefficients of Chebyshev polynomials of first kind.

Simple Closed-Form Expression to Estimate the Ring Ratio of 16-APSK to Compensate for Distortion in Nonlinear Systems

2017 ◽  
Author(s):  
M.J. Cañavate-Sánchez ◽  
A. Segneri ◽  
S. Godi ◽  
A. Georgiadis ◽  
S. Kosmopoulos ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Closed Form ◽  
Closed Form Expression ◽  
Form Expression ◽  
Ring Ratio
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