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Articles 1 - 4 of 4
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Design And Analysis Of Cylindrical Antiresonant Reflecting Optical Waveguide, Chyng Wen Tee, S. F. Yu
Design And Analysis Of Cylindrical Antiresonant Reflecting Optical Waveguide, Chyng Wen Tee, S. F. Yu
Research Collection Lee Kong Chian School Of Business
A field-transfer matrix method is developed to analyze the modal characteristics of cylindrical multilayered waveguides with axis-symmetric geometry. A new design rule for cylindrical antiresonant reflecting optical waveguides (ARROWs), based on a three-step design process, is also proposed to minimize the radiation loss of the fundamental leaky mode. In addition, a simple approach is suggested to estimate the optimum core diameter of the cylindrical ARROWs for optimum radiation loss and radiation loss margin. Hence, it can be shown that an extra high index cladding layer is good enough to reduce the radiation loss as well as to maintain a reasonably …
A Note On The Numerical Solution Of High-Order Differential Equations, Y. Wang, Yibao Zhao, G. W. Wei
A Note On The Numerical Solution Of High-Order Differential Equations, Y. Wang, Yibao Zhao, G. W. Wei
Research Collection Lee Kong Chian School Of Business
Numerical solution of high-order differential equations with multi-boundary conditions is discussed in this paper. Motivated by the discrete singular convolution algorithm, the use of fictitious points as additional unknowns is proposed in the implementation of locally supported Lagrange polynomials. The proposed method can be regarded as a local adaptive differential quadrature method. Two examples, an eigenvalue problem and a boundary-value problem, which are governed by a sixth-order differential equation and an eighth-order differential equation, respectively, are employed to illustrate the proposed method.
Design Of Antiresonant-Reflecting Optical Waveguide-Type Vertical-Coupled Surface-Emitting Lasers Using Transfer Matrix Method, Chyng Wen Tee, C. C. Tan, S. F. Yu
Design Of Antiresonant-Reflecting Optical Waveguide-Type Vertical-Coupled Surface-Emitting Lasers Using Transfer Matrix Method, Chyng Wen Tee, C. C. Tan, S. F. Yu
Research Collection Lee Kong Chian School Of Business
A simple transfer matrix method is proposed to calculate the radiation losses of a cylindrical antiresonant-reflecting optical waveguide (ARROW). It is found that the planar approximation underestimates the radiation losses but overestimates the design tolerance of the ARROW-type vertical-cavity surface-emitting lasers (VCSELs). An iteration technique, which is incorporated with the transfer matrix method, is also developed to design ARROW-type VCSELs for minimum radiation losses in a more effective manner.
Parameter Optimization In The Regularized Shannon's Kernels Of Higher-Order Discrete Singular Convolutions, Wei Xiong, Yibao Zhao, Yun Gu
Parameter Optimization In The Regularized Shannon's Kernels Of Higher-Order Discrete Singular Convolutions, Wei Xiong, Yibao Zhao, Yun Gu
Research Collection Lee Kong Chian School Of Business
The δ-type discrete singular convolution (DSC) algorithm has recently been proposed and applied to solve kinds of partial differential equations (PDEs). With appropriate parameters, particularly the key parameter r in its regularized Shannon's kernel, the DSC algorithm can be more accurate than the pseudospectral method. However, it was previously selected empirically or under constrained inequalities without optimization. In this paper, we present a new energy-minimization method to optimize r for higher-order DSC algorithms. Objective functions are proposed for the DSC algorithm for numerical differentiators of any differential order with any discrete convolution width. Typical optimal parameters are also shown. The …