Electromagnetic Diffraction by a Perfectly-Conducting Plane Angular Section

Satterwhite, R.; Kouyoumjian, R. G.

doi:10.21236/ad0706111

Cited by 22 publications

(20 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The canonical problem of this type is the "plane annular sector," which consists of a sector of an infinite conducting plane with its tip at the origin. The problem has been investigated by Kraus, Levine, Satterwhite, and Kouyoumjian [16][17][18] and yields an exact solution. The current density near a 90 degree corner of a conducting sector has the general form…”

Section: Extensions To 3d Problemsmentioning

confidence: 99%

See 1 more Smart Citation

Progress in controlled accuracy numerical solutions of integral equations

Peterson

Bibby

2014

2014 International Conference on Electromagnetics in Advanced Applications (ICEAA)

View full text Add to dashboard Cite

This presentation will review the state of progress in high accuracy computations such as the method-of-moments solution of integral equations of electromagnetics.The fundamental question to be addressed is: "What is needed in order to obtain solutions of general problems to 'dialable' accuracy?" In other words, what technological advances are required before we can routinely specify, in advance, that we would like a result that is accurate to N decimal places, and reliably obtain such a result? Specific contributions of the authors toward this goal will be highlighted and ongoing efforts will be detailed.

show abstract

Section: Extensions To 3d Problemsmentioning

confidence: 99%

“…Φ ei (φ) and Φ oi (φ) are even and odd Lame functions [18], j ν (κr) is a spherical Bessel function, and primes denote derivatives. The coefficients a i and b i depend on the source.…”

Section: Extensions To 3d Problemsmentioning

confidence: 99%

Progress in controlled accuracy numerical solutions of integral equations

Peterson

Bibby

2014

2014 International Conference on Electromagnetics in Advanced Applications (ICEAA)

View full text Add to dashboard Cite

show abstract

“…The vertex diffracted current is then defined as (1) where is the exact current and is the well-known PO current. and are the fringe-wave contributions due to the two edges of the angular sector.…”

Section: Current Density On the Plane Angular Sectormentioning

confidence: 99%

“…An exact solution based on the separation of variables in the sphero-conal coordinate system was first developed by Satterwhite [1]. In his solution, fields and currents are expressed in terms of scalar wave functions that are the solutions of a two-parameter eigenvalue problem of two coupled spherical Lamé differential equations and spherical Bessel functions.…”

Section: Introductionmentioning

confidence: 99%

Vertex Diffracted Edge Waves on a Perfectly Conducting Plane Angular Sector

Ozturk

Paknys

Trueman

2011

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Numerical diffraction coefficients are presented for vertex-diffracted edge waves induced on an infinitely-thin, perfectly conducting, semi-infinite plane angular sector. The current density on the surface of the plane angular sector is modeled using the physical theory of diffraction (PTD). The vertex-diffracted currents are defined as the difference between the exact and the PTD currents. The difference current is then modeled as a wave traveling away from the corner with unknown amplitude and phase factors. The unknown coefficients for the vertex-diffracted currents are calculated by using a least squares fit approximation. The vertex-diffracted currents are successfully modeled even for narrow angular sectors. The vertex-diffracted currents provide a substantial improvement to the accuracy of RCS patterns in off-specular directions.

show abstract

“…An even more serious impairment is encountered in applying GTD to RCS calculations, due to the fact that the leading edge contributions are restricted to lying on the pertinent diffraction cones. The canonical problem of the plane angular sector was solved by Satterwhite and Kouyoumjian [3,4], but the series expansion of the solution is hard to compute and not well-suited for a practical asymptotic evaluation. Most of the literature on this topic presents formulations based on numerical or hybrid techniques [5][6][7] or on approximate, high-frequency methods [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%