An iterative method for solving scattering problems

Kaye, Matthew; Murthy, P. Krishna; Thiele, G.

doi:10.1109/tap.1985.1143510

Cited by 33 publications

(19 citation statements)

References 10 publications

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“…As mentioned earlier, at high frequencies, the forest attenuates and distorts the incident wave phase front significantly. The computation of the scattered field from hard targets can be pursued in two different ways, namely: 1) exact numerical methods and 2) approximate analytic approaches [16]- [18]. Although exact numerical techniques can provide very accurate results, their utility is rather limited at high frequencies due to exorbitant computer memory and run times.…”

Section: Computation Of Induced Surface Currentmentioning

confidence: 99%

“…The connection between these two scattering domains is accomplished using the reciprocity theorem [14], [15]. To avoid brute-force time-consuming foliage-target scattering interaction by myriads of vegetation particles around the target, an efficient iterative physical optics (PO) approach is implemented [16]- [19]. The main contribution of this paper is in the construction of a comprehensive foliage-target model that is computationally tractable.…”

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confidence: 99%

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Electromagnetic Scattering From Foliage Camouflaged Complex Targets

Dehmollaian

Sarabandi

2006

IEEE Trans. Geosci. Remote Sensing

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Abstract-In this paper, a hybrid target-foliage model based on existing electromagnetic techniques is developed to investigate the scattering behavior of hard targets embedded inside a forest canopy at high frequencies. The proposed model is composed of two basic scattering models, one for foliage and the other for the hard targets. The connection between these two models, which accounts for the interaction between the foliage scatterers and the target and vice versa, is accomplished through the application of the reciprocity theorem. Wave penetration through the forest canopy and near-field and far-field scattering from the canopy's constituents is calculated using a coherent discrete scattering model that makes use of realistic tree structures. Calculation of scattering from a hard target illuminated by the reduced incident field and the scattered field of nearby vegetation is carried out using an iterative physical optics (PO) method formulated for fast computation of foliage-target interaction. To reduce the number of iterations, geometrical optics (GO) approximation is initially used for determining the shadowed areas over the hard target when illuminated by individual foliage scatterers. Furthermore, using a scaled measurement system at millimeter-wave frequency, the accuracy of the iterative PO model is demonstrated, employing a complex target that occupies a volume as big as 86λ × 33λ × 20λ.Index Terms-Electromagnetic (EM) scattering, hybrid solution methods.

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Section: Computation Of Induced Surface Currentmentioning

confidence: 99%

mentioning

confidence: 99%

Electromagnetic Scattering From Foliage Camouflaged Complex Targets

Dehmollaian

Sarabandi

2006

IEEE Trans. Geosci. Remote Sensing

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“…Examples are the methods proposed in [8,9] which are applied to simple scattering objects. A similar method is the IPO, which was developed to compute the scattering from cavities [10,11].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Magnetic Field Integral Equation Based Iterative Solver

Brem¹,

Eibert²

2014

PIER M

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Abstract-An iterative solution scheme based on the magnetic field integral equation (MFIE) to compute electromagnetic scattering for arbitrary, perfect electrically conducting (PEC) objects is topic of this contribution. The method uses simple and efficient approaches for the computation of surface current interactions which are typically found in the well-known iterative physical optics (IPO) technique. However, the proposed method is not asymptotic, since no physical optics (PO) concepts are utilized. Furthermore, a least squares correction method is introduced, which is applied not on the complete current vector, but on individual groups of currents. This helps to quickly reduce the residual error and to improve convergence. The result is a simple method which is capable to improve the simulation results obtained by pure asymptotic methods such as PO or shooting and bouncing rays (SBR). The method can be regarded as a simplified iterative method of moments (MoM) technique. Numerical examples show that the proposed approach is advantageous e.g., in problem cases where the neglect of diffraction effects or currents in shadow regions would cause large errors. It also provides an improved prediction of the peak scattering contributions.

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“…Similarly, a hybrid technique of FD-TD and MoM was also developed for calculating the electromagnetic fields in a head model [12][13][14][15]. As the scattering problem of the head model must be solved in each iteration [16], long simulation time is inevitable.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid NFM/Mom Full-Wave Analysis of Layered Prolate Head Model Exposed to Handset Antenna

Zhao¹,

Wu²

2012

PIER

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Abstract-The electromagnetic radiation of a handset antenna to a human head model is rigorously analyzed by a new hybrid approach. In the analysis, human head is modeled by a double layered prolate spheroid with complex permittivity. A hybrid Null Field Method/Method of Moments (NFM/MoM) approach is proposed for the first time. The method is general and capable of dealing with multiple scatterers and radiators. By means of the hybrid approach, the NFM is used to model the scattering problem of the head model, and the MoM is applied to a handset antenna. The electromagnetic coupling between the head model and an antenna is taken into account by a fast convergent iteration process. Numerical results of electric field near and inside the head model and the input impedance of the antenna are calculated by the proposed hybrid approach and commercial full wave EM software. Very good agreement is obtained, which demonstrates the accuracy and efficiency of the proposed approach.

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An iterative method for solving scattering problems

Cited by 33 publications

References 10 publications

Electromagnetic Scattering From Foliage Camouflaged Complex Targets

Electromagnetic Scattering From Foliage Camouflaged Complex Targets

An Efficient Magnetic Field Integral Equation Based Iterative Solver

A Hybrid NFM/Mom Full-Wave Analysis of Layered Prolate Head Model Exposed to Handset Antenna

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