On the location and number of expansion centers for the generalized multipole technique

Beshir, K.I.; Richie, J.E.

doi:10.1109/15.494621

Cited by 16 publications

(10 citation statements)

References 7 publications

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“…Because the period of is , the fundamental spatial frequency is one and the harmonics are integers. The bandlimited function limited to a maximum spatial frequency of (an integer) can be determined using (3) where is the circumference of the scatterer, is the distance from the origin to the point on the scatterer at angle , and (4) Note that the term represents the average value of . The functions , or equivalently and with integer , represent the spatial harmonic functions for periodic domain considered in this work.…”

Section: Boundary Field Bandwidthmentioning

confidence: 99%

“…One approach to determining the location and number of poles is to develop rules based on qualitative information and experience. In [4] an empirical scheme is proposed to determine the location and number of monopole origins for two-dimensional scattering problems. In [5], a rule-based algorithm is used to determine appropriate multipole origins for GMT.…”

Section: Introductionmentioning

confidence: 99%

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MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Richie

2010

IEEE Trans. Antennas Propagat.

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Abstract-The concept of effective spatial bandwidth (EBW) is introduced for periodic domains. The EBW is applied to the incident and scattered fields along the boundary of an infinite circular cylinder. The scattered field is formulated using the method of auxiliary sources (MAS). In MAS, monopoles on an auxiliary surface (AS) are used to model the scattered field. It is shown that the EBW of the incident field can provide some insight regarding the placement of poles for the MAS scattered field model. Example simulations are provided to demonstrate the usefulness of EBW with respect to monopole placement rules in MAS.Index Terms-Boundary value problems, electromagnetic scattering.

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Section: Boundary Field Bandwidthmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Richie

2010

IEEE Trans. Antennas Propagat.

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“…Improperly placed multipoles, or presence of redundant multipoles, can cause numerical instability leading to inaccurate results. There are some rules for semi-automatic multipole setting [4,8,11,12], but, in many cases, the existing algorithms for automatic multipole placement are not robust, slow and not entirely suitable for complex geometries. To overcome this problem, one can start with a high density of multipoles uniformly distributed over the object under examination.…”

Section: Introductionmentioning

confidence: 99%

Generalized multipole technique without redundant multipoles

Bandyopadhyay

Tomassoni

Mongiardo

et al. 2005

Int. J. Numer. Model.

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SUMMARYAutomatic multipoles placement in the Generalized Multipole Technique (GMT) generates also multipoles that are not necessary for obtaining accurate solutions and may prevent numerical stability. It is therefore important to find out these multipoles and to eliminate them. Two procedures for identifying the redundant multipoles are proposed by using either the singular value decomposition or the rank revealing QR decomposition. Simulation results for both cases show significant improvement in numerical stability as a result of removing the redundant multipoles. A comparison between the two methods is presented for the example of a horn antenna with a radiating elliptical aperture.

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“…One approach to determine the number and location of the poles is to develop rules based on qualitative observations. In [3], an empirical scheme is provided for the location and number in two-dimensional problems based on a packing-number concept. In [4], appropriate GMT pole origins are determined using rule based algorithms.…”

Section: Introductionmentioning

confidence: 99%

Application of Spatial Bandwidth Concepts to MAS Pole Location for Dielectric Cylinders

Richie

2011

IEEE Trans. Antennas Propagat.

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Abstract-In this work, the concept of effective spatial bandwidth (EBW) is extended from the case of an MAS solution for perfectly conducting (PEC) cylinders to dielectric cylinders. It is shown that the ideas and results for the conducting cylinder apply in a straightforward manner to the dielectric case.For the dielectric case, there are two auxiliary surfaces. Because the EBW calculations are independent of the scatterer material, the auxiliary surface for the scattered field will follow the same guidelines for both the PEC and dielectric cases. The guidelines for the second auxiliary surface are described and verified here. Guidelines for both a plane wave incident field and a monopole line source incident field are provided.

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On the location and number of expansion centers for the generalized multipole technique

Cited by 16 publications

References 7 publications

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Generalized multipole technique without redundant multipoles

Application of Spatial Bandwidth Concepts to MAS Pole Location for Dielectric Cylinders

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