3-D electromagnetic infinite element
AssigneeLucent Technologies Inc.
InventorsDavid Storer Burnett, Frank Michael Labianca
Life of this patent
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Abstract
An ellipsoidal infinite element is used for the modeling of electromagnetic fields in exterior domains surrounding a structure. This infinite element is based on a multipole expansion that describes scattered and/or radiated fields exterior to the structure. The electromagnetic field is represented in the exterior domain by a pair of scalar potentials, referred to as the Debye potentials.
Claims13
A method for operating a digital computer, having at least one digital memory and at least one data processing element, to simulate the electromagnetic behavior of a body surrounded by a spatial region, the body having an outer surface, and the body subjected to given driving conditions, comprising:
- a) subdividing at least the spatial region into a pattern of elements, said pattern to be referred to as a mesh, and storing said mesh in the memory;
- b) for each element of the mesh, computing a set of element matrix coefficients, and storing said coefficients in the memory;
- c) assembling all of the element matrix coefficients into a system matrix, and storing the system matrix in the memory;
- d) in the data processing element, solving the system matrix equation, thereby to create a description of the values assumed within the mesh by one or more electromagnetic field variables;
- and
- e) recording the description in a data-storage device, wherein:
- the subdividing step comprises constructing a closed bounding surface about the body such that at least part of the spatial region, said part to be referred to as the external region, lies outside the bounding surface;
- within the external region, the one or more electromagnetic field variables comprise at least one scalar electromagnetic potential that is a Debye potential;
- the subdividing step further comprises filling the external region with elements, to be referred to as infinite elements, wherein:
- (i) each infinite element is bounded by a base, at least three side faces, and an outer face;
- (ii) each respective base lies on the bounding surface;
- and (iii) the outer face recedes to an infinite radius;
- the step of computing element matrix coefficients is carried out in such a manner as to satisfy the Sommerfield radiation condition;
- and
- the step of computing element matrix coefficients comprises applying the Helmholtz equation to an approximation of a multinole expansion of an electromagnetic field variable.
A machine for simulating the electromagnetic behavior of a body surrounded by a spatial region, the body having an outer surface, and the body subjected to given driving conditions, comprising:
- a) means for subdividing at least the spatial region into a pattern of elements, said pattern to be referred to as a mesh;
- b) a digital memory element for storing the mesh;
- c) digital processing means for computing a set of element matrix coefficients for each element of the mesh;
- d) a digital memory element for storing the element matrix coefficients, assembled from all of the elements, as a system matrix;
- e) digital processing means for solving the system matrix, thereby to create a description of the values assumed by at least one electromagnetic field variable within the mesh;
- and
- f) means for recording the resulting description of the at least one electromagnetic field variable, wherein:
- the subdividing means comprise means for constructing a closed bounding surface about the body such that at least part of the spatial region, said part to be referred to as the external region, lies outside the bounding surface;
- within the external region, the one or more electromagnetic field variables comprise at least one scalar electromagnetic potential that is a Debye potential;
- the subdividing means further comprise means for filling the external region with elements, to be referred to as infinite elements, wherein:
- (i) each infinite element is bounded by a base, at least three side faces, and an outer face;
- (ii) each respective base lies on the bounding surface;
- and (iii) the outer face recedes to an infinite radius;
- the means for computing element matrix coefficients are constrained to satisfy the Sommerfeld radiation condition;
- and
- the means for computing element matrix coefficients comprise means for applying the Helmholtz equation to an approximation of a multipole expansion for an electromagnetic field variable.
Dependencies are inferred from the claim text.