Back to results
US 7,742,886 B2Granted
Systems and methods for analysis and design of radiating and scattering objects
OwnerJohn Fredrick Shaefferinventor
Life of this patent
Estimating the term…
Abstract
Methods and apparatus for analysis and design of radiation and scattering objects are disclosed. In one embodiment, unknown sources are spatially grouped to produce a system interaction matrix with block factors of low rank within a given error tolerance and the unknown sources are determined from compressed forms of the factors.
Claims15
A method for determining a source function given an excitation of a material object having a system interaction matrix that is characteristic of the material object, comprising:
- spatially grouping unknown sources of the source function according to their distances from one or more reference points so that the system interaction matrix exhibits low rank for a given error tolerance;
- partitioning the system matrix into large off-diagonal blocks and large on-diagonal blocks;
- computing a compressed block factorization of the system interaction matrix, wherein off-diagonal blocks of the factorization are computed in compressed form;
- wherein computing the compressed block factorization of the system interaction matrix further comprises:
- further partitioning the on-diagonal blocks into off-diagonal sub-blocks and on-diagonal sub-blocks;
- and
- computing a compressed block factorization of the on-diagonal blocks, wherein off diagonal sub-blocks of the factorization are computed in compressed form;
- and
- determining the source function from the compressed block factorizations.
6 more elements
A method for determining the sources of a material object for a given excitation of the object, comprising:
- spatially grouping unknown sources so that a system interaction matrix of the object exhibits sparse blocks;
- decomposing the system interaction matrix into off-diagonal blocks and on-diagonal blocks, and performing a factorization of the system interaction matrix, wherein the off-diagonal blocks are computed in compressed form;
- recursively partitioning on-diagonal blocks into on-diagonal sub-blocks and off-diagonal sub-blocks, and computing a factorization wherein off-diagonal sub-blocks are computed in compressed form;
- and,
- determining sources of the object from the compressed form factorizations.
2 more elements
Dependencies are inferred from the claim text.