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Full-Text Articles in Physical Sciences and Mathematics

Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai Oct 2004

Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai

Research Collection Lee Kong Chian School Of Business

We investigate the statistical parity of a class of chaos-generated noises on the escape of strongly damped particles out of a potential well. We show that statistical asymmetry in the chaotic fluctuations can lead to a skewed Maxwell–Boltzmann distribution in the well. Depending on the direction of skew, the Kramers escape rate is enhanced or suppressed accordingly. Based on the Perron–Frobenious equation, we determine an analytical expression for the escape rate’s prefactor that accounts for this effect. Furthermore, our perturbative analysis proves that in the zeroth-order limit, the rate of particle escape converges to the Kramers rate.


Transverse-Leaky-Mode Characteristics Of Arrow Vcsels, Chyng Wen Tee, S. F. Yu, N. S. Chen Jul 2004

Transverse-Leaky-Mode Characteristics Of Arrow Vcsels, Chyng Wen Tee, S. F. Yu, N. S. Chen

Research Collection Lee Kong Chian School Of Business

Transverse-leaky-mode characteristics of antiresonant-reflecting-optical-waveguide (ARROW) vertical-cavity surface-emitting lasers (VCSELs) are studied. It is found that the suppression of high-order transverse leaky modes in ARROW VCSELs can be deteriorated by the influence of spatial hole burning and thermal lensing effects. On the other hand, a new design rule is proposed to deduce the optimum dimensions of ARROW so that the suppression of high-order transverse leaky modes can be enhanced. Furthermore, the turn-on transient response of ARROW VCSELs is investigated. It is found that the radiation loss has significant influence on the built-up time of the first-order transverse leaky mode.


Comparison Of Discrete Singular Convolution And Generalised Differential Quadrature For The Vibration Analysis Of Rectangular Plates, C. H. W. Ng, Yibao Zhao, G. W. Wei Jun 2004

Comparison Of Discrete Singular Convolution And Generalised Differential Quadrature For The Vibration Analysis Of Rectangular Plates, C. H. W. Ng, Yibao Zhao, G. W. Wei

Research Collection Lee Kong Chian School Of Business

This paper presents a comprehensive comparison study between the discrete singular convolution (DSC) and the well-known global method of generalized differential quadrature (GDQ) for vibration analysis so as to enhance the understanding of the DSC algorithm. The DSC method is implemented through Lagrange's delta sequence kernel (DSC-LK), which utilizes local Lagrange polynomials to calculate weighting coefficients, whereas, the GDQ requires global ones. Moreover, it is shown that the treatments of boundary conditions and the use of grid systems are different in the two methods. Comparison study is carried out on 21 rectangular plates of different combinations of simply supported (S), …


Suppression Of Polarization Switching In Birefringent Antiresonant Reflecting Optical Waveguide Vertical-Cavity Surface-Emitting Lasers, N. S. Chen, S. F. Yu, Chyng Wen Tee Mar 2004

Suppression Of Polarization Switching In Birefringent Antiresonant Reflecting Optical Waveguide Vertical-Cavity Surface-Emitting Lasers, N. S. Chen, S. F. Yu, Chyng Wen Tee

Research Collection Lee Kong Chian School Of Business

Influence of birefringence on the multimode operation of antiresonant reflecting optical waveguide (ARROW) vertical-cavity surface-emitting lasers (VCSELs) is analyzed. It can be shown that polarization switching is mainly due to thermal lensing effects. Hence, a new design rule is proposed to optimize the dimensions of ARROW for the suppression of polarization switching. Using the optimized design, the maximum single-polarization output power of VCSELs can be tripled. In addition, it is shown that the performance of the optimized ARROW VCSELs will not be deteriorated by the uncertainty of birefringence.


Parameter Selection In Genetic Algorithms, Onur Boyabatli, Ihsan Sabuncuoglu Jan 2004

Parameter Selection In Genetic Algorithms, Onur Boyabatli, Ihsan Sabuncuoglu

Research Collection Lee Kong Chian School Of Business

In this study, we provide a new taxonomy of parameters of genetic algorithms (GA), structural and numerical parameters, and analyze the effect of numerical parameters on the performance of GA based simulation optimization applications with experimental design techniques. Appropriate levels of each parameter are proposed for a particular problem domain. Controversial to existing literature on GA, our computational results reveal that in the case of a dominant set of decision variable the crossover operator does not have a significant impact on the performance measures, whereas high mutation rates are more suitable for GA applications.