General integral equation formulation for microstrip antennas and scatterers

AbstractThe coupled integral equations for dynamical scattering are developed from the general integral equation. The results are given in the forward scattering approximation. Extension to bade scattering is briefly mentioned. Expressions for distorted crystals are derived both in the column approximation and beyond. The formulation is suggested to be very useful as a basis for perturbation methods.

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Integral equation formulation of microstrip antennas

IRE Transactions on Antennas and Propagation ◽

10.1109/tap.1982.1142880 ◽

1982 ◽

Vol 30 (4) ◽

pp. 651-656 ◽

Cited By ~ 92

Author(s):

M. Bailey ◽

M. Deshpande

Keyword(s):

Integral Equation ◽

Microstrip Antennas ◽

Equation Formulation ◽

Integral Equation Formulation

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A general calculation technique for the Green's functions in the mixed potential integral equation formulation of microstrip-slot circuits

Proceedings of IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.1993.385262 ◽

2002 ◽

Cited By ~ 1

Author(s):

K. Blomme ◽

N. Fache ◽

D. De Zutter

Keyword(s):

Integral Equation ◽

Green's Functions ◽

Green’S Functions ◽

Mixed Potential ◽

Equation Formulation ◽

Calculation Technique ◽

Integral Equation Formulation

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Spurious Mode Free Broadband Green’s Function Technique for Periodic Scatterers Using The Combined Field Integral Equation Formulation

2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO) ◽

10.1109/nemo49486.2020.9343640 ◽

2020 ◽

Author(s):

Zhaoyang Feng ◽

Shurun Tan ◽

Erping Li ◽

Leung Tsang

Keyword(s):

Integral Equation ◽

Green’S Function ◽

Green's Function ◽

Function Technique ◽

Equation Formulation ◽

Integral Equation Formulation ◽

Spurious Mode ◽

Field Integral

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On periodic water-waves and their convergence to solitary waves in the long-wave limit

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences ◽

10.1098/rsta.1981.0231 ◽

1981 ◽

Vol 303 (1481) ◽

pp. 633-669 ◽

Cited By ~ 59

Keyword(s):

Integral Equation ◽

Solitary Waves ◽

Water Waves ◽

Periodic Problem ◽

Existence Theory ◽

Periodic Waves ◽

Equation Formulation ◽

Long Wave ◽

Integral Equation Formulation ◽

Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

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