Guo-liang Mo

article

High accuracy modal analysis and beam propagation method for nano-waveguides

Guo-Liang Mo, Xue-Cang Zhang

Optical and Quantum Electronics > 2012 > 44 > 10-11 > 459-470

A mapped barycentric Chebyshev differentiation matrix (MBCDM) method is proposed for the high-accuracy modal analysis of waveguides and a new beam propagation method (BPM) based on this differentiation matrix is developed. Compared with the commonly used finite difference or finite element based modal analysis and BPM methods, MBCDM is much more accurate and efficient for the computation of guided,...

article

Designing Bézier surfaces minimizing the L ²-norm of the Gaussian curvature

Guo-liang Mo, Ming-hua Wu

Journal of Zhejiang University-SCIENCE A > 2007 > 8 > 1 > 142-148

In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smooth closed curve. In this paper, tensor product Bézier surfaces interpolating the closed curves are determined and the resulting surface is a minimum of the functional defined by the L...

article

A new extension algorithm for cubic B-splines based on minimal strain energy

Guo-liang Mo, Ya-nan Zhao

Journal of Zhejiang University-SCIENCE A > 2006 > 7 > 12 > 2043-2049

Extension of a B-spline curve or surface is a useful function in a CAD system. This paper presents an algorithm for extending cubic B-spline curves or surfaces to one or more target points. To keep the extension curve segment GC ²-continuous with the original one, a family of cubic polynomial interpolation curves can be constructed. One curve is chosen as the solution from a sub-class of...

article

Numerical solution of geodesic through two given points on a simple surface

Ming-hua Wu, Guo-liang Mo, Yi-yue Yu

Journal of Zhejiang University-SCIENCE A > 2006 > 7 > 2 > 187-192

The algorithm for the approximate solution of a geodesic connecting two given points on a simple surface is discussed in this paper. It arises from practical demands of the filament winding technique. Geodesic is the shortest path connecting two given points on a surface and it can also be regarded as the extremal curve of the arc length functional. The nonlinear equation system of the geodesic on...

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Search results for: Guo-liang Mo

High accuracy modal analysis and beam propagation method for nano-waveguides

Designing Bézier surfaces minimizing the L ²-norm of the Gaussian curvature

A new extension algorithm for cubic B-splines based on minimal strain energy

Numerical solution of geodesic through two given points on a simple surface

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Search results for: Guo-liang Mo

High accuracy modal analysis and beam propagation method for nano-waveguides

Designing Bézier surfaces minimizing the L 2-norm of the Gaussian curvature

A new extension algorithm for cubic B-splines based on minimal strain energy

Numerical solution of geodesic through two given points on a simple surface

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Designing Bézier surfaces minimizing the L ²-norm of the Gaussian curvature