What question did this study set out to answer?

To simplify and accelerate the computation of far-field Kirchhoff approximations for electromagnetic fields scattered by flat metallic plates.

July 1, 1975IRE Transactions on Antennas and Propagation

Far-field approximations to the Kirchoff-Helmholtz representations of scattered fields

View Full Paper

Ask AI

Bookmark

Authors

WGWilliam B. GordonWestern University

Discussion

Member takes

Implication

Computational analysis demonstrates order-of-magnitude calculation reductions for wave scattering off flat metallic plates, highlighting dramatically faster electromagnetic simulations.

Key Points

To simplify and accelerate the computation of far-field Kirchhoff approximations for electromagnetic fields scattered by flat metallic plates.
Transformed the standard surface double integral for scattered fields over an arbitrary flat plate into a boundary line integral.
Derived an exact closed-form algebraic representation for polygonal plates that eliminates numerical integration.
Evaluated computational complexity by comparing required functional evaluations across surface integral, line integral, and closed-form techniques.
Converting the surface integral to a line integral reduces required functional evaluations from p^2 A / λ^2 to p √(A / λ^2), reducing computational costs by orders of magnitude.
Evaluating an N-vertex polygon using the derived closed-form expression requires only 2N functional evaluations.
The closed-form polygonal formulation achieves exact computation without introducing quadrature error.

Cite This Study

William B. Gordon (1975) studied this question.

synapsesocial.com/papers/6a776e547ecc675f86ae6bc5 https://doi.org/10.1109/tap.1975.1141105

View Full Paper

Ask AI

Bookmark

Implication

Computational analysis demonstrates order-of-magnitude calculation reductions for wave scattering off flat metallic plates, highlighting dramatically faster electromagnetic simulations.

Far-field approximations to the Kirchoff-Helmholtz representations of scattered fields

Discussion

Member takes

Implication

Key Points

Cite This Study

Far-field approximations to the Kirchoff-Helmholtz representations of scattered fields

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider