Scattering from frequency selective surfaces: A continuity condition for entire domain basis functions and an improved set of basis functions for crossed dipoles

Poulsen, Søren Erbs

doi:10.1049/ip-map:19990338

Cited by 7 publications

(6 citation statements)

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“…Moreover, to obtain continuity of current from one segment to the next segment, the amplitude of the circular current basis function at is . This requirement of continuity is necessary, else the double infinite sum of Floquet modes, occurring as matrix elements in the spectral Galerkin method [1], will not converge [11], [12]. If the requirement of continuity is not provided, the current along the strip senses a termination of the conductor [18].…”

Section: Elements Of Loop Typementioning

confidence: 99%

“…The existing cosine basis functions do not apply to the necessary continuity condition of entire domain basis functions [12], and thus, the cosine basis functions are unsuitable with the spectral Galerkin method. Numerically, this shows up when we try to find an appropriate truncation of the double infinite sum of Floquet modes corresponding to a cosine basis function, since this sum is divergent.…”

Section: A Tripole Arraymentioning

confidence: 99%

“…The angle of incidence is 30 . main basis functions [12]. The main drawback of discontinuous basis is that the resonance frequency obtained from the MoM procedure is strongly dependent on how many Floquet modes are taken into account.…”

Section: Convergence Of the Solutionmentioning

confidence: 99%

“…It is concluded that convergence is obtained when the present V-dipole basis functions are used, since the resonance frequency does not change for . Generally, when continuous bases are used, we simply include Floquet modes until the result does not change [12], which means that in this case we chose . On the other hand, when discontinuous bases are used, we are forced to include an optimal number of Floquet modes, that is, not too many and not too few Floquet modes.…”

Section: Convergence Of the Solutionmentioning

confidence: 99%

“…Later, it was found that the basis functions should fulfill a continuity condition [12]; otherwise, the double infinite sum of Floquet modes corresponding to a discontinuous basis function is divergent. Since the Floquet sum is divergent, the result is strongly dependent of how many Floquet modes that are included.…”

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confidence: 99%

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Scattering from frequency selective surfaces: an efficient set of v-dipole basis functions

Poulsen¹

2003

IEEE Trans. Antennas Propagat.

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Link to publicationCitation for published version (APA): Poulsen, S. (2003). Scattering from frequency selective surfaces: an efficient set of V-dipole basis functions. IEEE Transactions on Antennas and Propagation, 51(3), 540-548. DOI: 10.1109/TAP.2003 General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal

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Section: Elements Of Loop Typementioning

confidence: 99%

Section: A Tripole Arraymentioning

confidence: 99%

Section: Convergence Of the Solutionmentioning

confidence: 99%

Section: Convergence Of the Solutionmentioning

confidence: 99%

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Scattering from frequency selective surfaces: an efficient set of v-dipole basis functions

Poulsen¹

2003

IEEE Trans. Antennas Propagat.

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Scattering from dielectric frequency selective structures

Forslund

Poulsen²

2003

Radio Science

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[1] A plane wave impinges on a laterally double-periodic inhomogeneous lossy dielectric structure. Using a wave splitting approach, and an expansion of the fields and permittivity in entire domain basis functions, the scattered fields are determined via a propagator. The formulation is originally intended for constitutive parameters which vary continuously but is here applied to structures with an abruptly varying permittivity. The method resembles the so called coupled-wave analysis method. Calculated results are compared with experimental data for a slab with domains of a piecewise homogeneous permittivity. The agreement is good considering the error sources in the experiment. The results are compared with calculated results obtained by an entirely different method showing very good agreement for the examples given. The method is also used on a pyramidal absorber-like structure.

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Numerical results for a frequency selective surface on an anisotropic dielectric layer for oblique incidence

Campos

D’Assunção²

IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313)

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Scattering from frequency selective surfaces: A continuity condition for entire domain basis functions and an improved set of basis functions for crossed dipoles

Cited by 7 publications

References 7 publications

Scattering from frequency selective surfaces: an efficient set of v-dipole basis functions

Scattering from frequency selective surfaces: an efficient set of v-dipole basis functions

Scattering from dielectric frequency selective structures

Numerical results for a frequency selective surface on an anisotropic dielectric layer for oblique incidence

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