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Efficient Modeling of Infinite Scatterers Using A Generalized Total-Field/Scattered-Field FDTD Boundary Partially Embedded Within PML

IP.com Disclosure Number: IPCOM000005029D
Original Publication Date: 2001-Jul-19
Included in the Prior Art Database: 2001-Jul-19
Document File: 11 page(s) / 57K

Publishing Venue

Motorola

Related People

Veeraraghavan Anantha: AUTHOR [+2]

Abstract

This paper proposes a novel generalized total-field/scattered-field formulation for FDTD to model plane waves traveling into, or originating from, the perfectly-matched-layer absorbing region. In this formulation, the total-field/scattered-field boundary is located in part within the absorbing region. An important application of this technique is the efficient modeling of an infinite scatterer illuminated by an arbitrarily oriented plane wave within a compact FDTD grid. We apply this technique to efficiently model two-dimensional transverse-magnetic diffraction of an infinite right-angle dielectric wedge and an infinite 45°-angle perfect-electrical-conductor wedge. This approach significantly improves the computational efficiency of FDTD modeling of Infinite scatterers illuminated by plane waves.

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Efficient Modeling of Infinite Scatterers Using A Generalized Total-Field/Scattered-Field FDTD Boundary Partially Embedded Within PML

Veeraraghavan Anantha

Allen Taflove

Abstract

This paper proposes a novel generalized total-field/scattered-field formulation for FDTD to model plane waves traveling into, or originating from, the perfectly-matched-layer absorbing region. In this formulation, the total-field/scattered-field boundary is located in part within the absorbing region. An important application of this technique is the efficient modeling of an infinite scatterer illuminated by an arbitrarily oriented plane wave within a compact FDTD grid. We apply this technique to efficiently model two-dimensional transverse-magnetic diffraction of an infinite right-angle dielectric wedge and an infinite 45°-angle perfect-electrical-conductor wedge. This approach significantly improves the computational efficiency of FDTD modeling of Infinite scatterers illuminated by plane waves.

1. Introduction

The total-field/scattered-field formulation [1] has been used extensively to model infinite plane wave excitation in two-dimensional (2D) and three-dimensional (3D) finite difference time domain (FDTD) grids. In this formulation, the plane wave excitation and the scatterer are confined within the so-called total-field/scattered-field (TF/SF) boundary. The entire FDTD grid is enclosed within an absorbing boundary region (ABC), which terminates the grid. The perfectly matched layer (PML) absorbing region [2] has been used extensively to terminate FDTD grids.

In this paper, we propose a generalized total-field/scattered-field (G-TF/SF) formulation to model infinite plane waves inside the FDTD computational space and in the PML absorbing boundary region. The proposed formulation allows plane waves to be terminated inside the PML absorbing boundary region. Correspondingly, the formulation allows plane waves to originate from within the PML absorbing boundary region. This is achieved by modeling the G- TF /SF boundary at required points inside the PML absorbing region.

An important application of this technique is that a scatterer illuminated by an infinite plane wave can be terminated inside the PML absorbing region of the FDTD grid. Thus the G- TF/SF formulation can be used to efficiently model infinite scatterers illuminated by plane waves in a relatively small grid. Previously proposed FDTD-based methods rely completely on the conventional TF/SF formulation and a time-gati...