Wide-Angle Shift-Map PE for a Piecewise Linear Terrain—A Finite-Difference Approach

2007 ◽  
Vol 55 (10) ◽  
pp. 2773-2789 ◽  
Author(s):  
Peter D. Holm
Keyword(s):  
Finite Difference ◽  
Piecewise Linear ◽  
Wide Angle ◽  
Shift Map ◽  
Angle Shift ◽  
Finite Difference Approach

Wide-Angle Shift-Map PE for a Piecewise Linear Terrain

2009 ◽  
Author(s):  
Peter D. Holm ◽  
Börje Nilsson ◽  
Louis Fishman ◽  
Anders Karlsson ◽  
Sven Nordebo
Keyword(s):  
Piecewise Linear ◽  
Wide Angle ◽  
Shift Map ◽  
Angle Shift

An Analysis of Narrow-Angle and Wide-Angle Shift-Map Parabolic Equations

2020 ◽  
Vol 68 (5) ◽  
pp. 3911-3918
Author(s):  
Dan-Dan Wang ◽  
Yu-Rong Pu ◽  
Xiao-Li Xi ◽  
Li-Li Zhou
Keyword(s):  
Parabolic Equations ◽  
Wide Angle ◽  
Narrow Angle ◽  
Shift Map ◽  
Angle Shift

scholarly journals COMPUTATION OF THE MODES OF ELLIPTIC WAVEGUIDES WITH A CURVILINEAR 2D FREQUENCY-DOMAIN FINITE-DIFFERENCE APPROACH

2012 ◽  
Vol 26 ◽  
pp. 69-84 ◽  
Author(s):  
Alessandro Fanti ◽  
Giuseppe Mazzarella ◽  
Giorgio Montisci ◽  
Giovanni Andrea Casula
Keyword(s):  
Finite Difference ◽  
Frequency Domain ◽  
Finite Difference Approach

scholarly journals Curvilinear vector finite difference approach to the computation of waveguide modes

2012 ◽  
Vol 1 (1) ◽  
pp. 29 ◽  
Author(s):  
A. Fanti ◽  
G. Mazzarella ◽  
G. Montisci
Keyword(s):  
Finite Difference ◽  
Decomposition Method ◽  
Taylor Expansion ◽  
Waveguide Section ◽  
Elliptic Case ◽  
Waveguide Modes ◽  
Mode Function ◽  
Vector Mode ◽  
Spurious Modes ◽  
Finite Difference Approach

We describe here a Vector Finite Difference approach to the evaluation of waveguide eigenvalues and modes for rectangular, circular and elliptical waveguides. The FD is applied using a 2D cartesian, polar and elliptical grid in the waveguide section. A suitable Taylor expansion of the vector mode function allows to take exactly into account the boundary condition. To prevent the raising of spurious modes, our FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evaluated comparing our results to the analytical modes of rectangular and circula rwaveguide, and to known data for the elliptic case.

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