Journal Article10.1002/CPA.3160040110
Vector wave functions
R. D. Spence,C. P. Wells +1 more
7
About: This article is published in Communications on Pure and Applied Mathematics. The article was published on 01 Jun 1951. The article focuses on the topics: Wave vector & Vector potential.
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Citations
The Vector Wave Function Solution of the Diffraction of Electromagnetic Waves by Circular Disks and Apertures. II. The Diffraction Problems
TL;DR: In this article, a unique solution is obtained in each case when two separate groups of the appropriate oblate spheroidal vector wave functions discussed in Part I are combined to fulfill the condition that the φ component of the electric field vanish on the rims of the disk and aperture.
38
Electromagnetic diffraction by a perfectly-conducting plane angular section
Ramon S. Satterwhite,Robert G. Kouyoumjian +1 more
- 23 Mar 1970
TL;DR: In this paper, the exact solution for the electromagnetic field diffracted by a perfectly conducting plane angular sector is determined in the form of a dyadic Green's function, which is the most general form of solution possible.
20
A Practical Approach to Modeling Doubly Curved Conformal Microstrip Antennas
TL;DR: In this paper, a hybrid finite element-boundary integral formulation for the high-frequency analysis and design of doubly curved conformal antennas is introduced, which uses an asymptotic prolate spheroidal dyadic Green's function to model the physics of curved surface diffraction.
Circularly symmetric Green tensors for the harmonic vector wave equation in spheroidal coordinate systems
TL;DR: Green tensor expansions for the vector harmonic wave equation, in spheroidal coordinate systems, were derived in this paper, suitable for application to problems in which the fields are circularly (rotationally) symmetric.
5
A practical approach to modeling doubly curved conformal microstrip antennas-abstract
TL;DR: In this paper, a hybrid finite element-boundary integral formulation for the high-frequency analysis and design of doubly curved conformal antennas is introduced, which uses an asymptotic prolate spheroidal dyadic Green's function to model the physics of curved surface diffraction.
2
References
A New Type of Expansion in Radiation Problems
TL;DR: In this article, a new type of expansion of the function of the spherical coordinates of a vector function is developed which can be used to find the vector potential due to a steady current distribution.
217
A note on singularities occurring at sharp edges in electromagnetic diffraction theory
TL;DR: In this article, the effect of space differenitation on wave functions is considered and the authors show that certain singularities will then occur at the sharp edge of the diffracting screen.
93
•Book
Effect of a Circular Groundplane on Antenna Radiation
A. Leitner,R. D. Spence +1 more
- 25 Aug 2011
TL;DR: In this article, the field of a quarter-wave-length antenna above a circular conducting disk of zero thickness (the groundplane) is calculated theoretically by use of the wave functions of the oblate spheroid.
35
Transformations Useful in Certain Antenna Calculations
TL;DR: Transformation formulas are derived in this paper which greatly simplify computations relative to an antenna above a plane earth when the antenna is of a form easily specifiable in polar coordinates but not in cylindricals.
28
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