Integral Equation Modeling of Waveguide-Fed Planar Antennas

Stevanović, I.; Merli, F.; Crespo-Valero, P.; Simon, Winfried; Holzwarth, S.; Mattes, Michael; Mosig, J. R.

doi:10.1109/map.2009.5433099

Cited by 5 publications

(12 citation statements)

References 30 publications

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“…Succesively applying Proposition 3.3 to perform the substitutions (29) in p we conclude that there exist a polynomial p ∈ Π 2M −1 such that p(Z 1 , . .…”

Section: The Cubature Formulamentioning

confidence: 93%

“…Retracing the steps of the continuous case above, let us assume that there exist two distinct points x, y ∈ F M , x = y such that X(x) = X(y). Since the transforms (28), (29) are as regular linear mappings one-to-one correspondences, this fact again implies that Z 1 (x) = Z 1 (y), . .…”

Section: Orbit Functionsmentioning

confidence: 96%

“…Let us assume that there exists a set F ⊂ F of non-zero measure such that X(x) = X(y) with x, y ∈ F . Since the transforms (28), (29) are as regular linear mappings one-to-one correspondences, this fact implies that Z 1 (x) = Z 1 (y), . .…”

Section: Orbit Functionsmentioning

confidence: 99%

“…In order to investigate how the m−degree of a polynomial changes under the substitution of the type (29) we formulate the following proposition. Using the binomial expansion, we obtain…”

Section: The Cubature Formulamentioning

confidence: 99%

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Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

2016

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Abstract:The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating a weighted integral of any function by a weighted finite sum of function values, in connection with any simple Lie group. The cubature formulas are specialized for simple Lie groups of rank two. An optimal approximation of any function by multivariate polynomials arising from symmetric orbit functions is discussed.

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“…Succesively applying Proposition 3.3 to perform the substitutions (29) in p we conclude that there exist a polynomial p ∈ Π 2M −1 such that p(Z 1 , . .…”

Section: The Cubature Formulamentioning

confidence: 93%

Section: Orbit Functionsmentioning

confidence: 96%

Section: Orbit Functionsmentioning

confidence: 99%

“…In order to investigate how the m−degree of a polynomial changes under the substitution of the type (29) we formulate the following proposition. Using the binomial expansion, we obtain…”

Section: The Cubature Formulamentioning

confidence: 99%

See 2 more Smart Citations

Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

2016

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“…This iris acts as a filter and absorbs microwave energy and feed to the feed point. Method of moments is used for the analysis of this waveguide coupled microstrip antenna [10]. The total electric field on the waveguide coupled microstrip patch antenna is given by the following expression.…”

Section: Discussionmentioning

confidence: 99%

Waveguide Coupled Microstrip Patch Antenna a New Approach for Broad Band Antenna

Sahana¹,

Shetti²

2017

PIER C

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Abstract-A new technique is developed to couple the advantages of both the microstrip patch antenna and rectangular waveguide. An equilateral triangle is used as a radiating patch. This patch is fabricated on one face of a single-layer dielectric substrate with double-sided copper clad coated with tin, and on the other face an iris is fabricated and coupled to the waveguide. Antenna parameters such as return loss and bandwidth are studied for a circular patch. The results obtained are discussed in detail and explained. Matlab PDE toolbox is used to generate two-dimensional meshes. These meshes are converted into a three-dimensional form using subdomain numbers. RWG basis functions are used for MoM to calculate impedances. Reflection coefficient and 2D current are obtained using the complex impedances.

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Complete network characterisation of stratified planar circuits using the method of moments technique: an integrated approach to lumped and wave ports

Golestanirad

Mattes

Mosig

2011

IET Microw. Antennas Propag.

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Integral Equation Modeling of Waveguide-Fed Planar Antennas

Cited by 5 publications

References 30 publications

Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

Waveguide Coupled Microstrip Patch Antenna a New Approach for Broad Band Antenna

Complete network characterisation of stratified planar circuits using the method of moments technique: an integrated approach to lumped and wave ports

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