Ray Optical Electromagnetic Far-Field Scattering Computations Using Planar Near-Field Scanning Techniques

Tzoulis, A.; Vaupel, Thomas; Eibert, Thomas F.

doi:10.1109/tap.2007.915436

Cited by 5 publications

(8 citation statements)

References 16 publications

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“…In this paper (Section 5), three dimensional SPM-F simulation results are compared to corresponding results obtained in the Near\Fresnel-zone\Far field areas with other methods. These results validate the excellent accuracy of the proposed methodology with standard numerical integration, 3D-SPM [1] calculation and Boundary Integral (BI) -Multilevel Fast Multipole Method (MLFMM) full wave Exact Solution results (ES) [17][18][19][20][21][22][23]. 3D-SPM-F method presented here proves to be more accurate and equally fast in computation times when compared to 3D-SPM [1].…”

Section: Introductionsupporting

confidence: 63%

“…[17][18][19][20][21][22][23]). In the case of the numerical integration technique, a numerical integration tolerance error level of 10 −6 is specified, which is of satisfactory accuracy and leads to acceptable run-time in our simulations.…”

Section: Numerical Results Using Matlabmentioning

confidence: 99%

“…Once again, these errors can be corrected when the scatterer is electrically larger (not shown here/see comment at Section 5. Table 2 below compares the run-time needed for all four methods (SPM-F, SPM [1], Numerical Integration -NI [2] and Exact Solution -ES [17][18][19][20][21][22][23]) for the cases of 20λ and 80λ plate scatterers on a standard desktop personal computer with Pentium M 2 GHz processor and 1 GB of RAM memory. ES results of a full-wave exact method [Boundary Integral (BI) -Multilevel Fast Multipole Method (MLFMM)/Exact Solution (ES)] [17-23] simulated on an AMD Athlon XP 2800+ (faster processor) are provided only for the case of 20λ scatterer, since it is meaningless to perform such a task for the case of a 80λ scatterer.…”

Section: Near Field Area Results and Commentsmentioning

confidence: 99%

“…Additionally, after realizing that the above acceleration rates in computation time refer only to one observation point (position and angle), these figures have to be multiplied by the number of resolution cells in the urban scene in order to calculate the total acceleration in computation time for the actual radio coverage problem. Finally, an arduous trial to compare the above methods with full-wave exact solution results (BI-MLFMM FEBI [17][18][19][20][21][22][23]), demonstrates faster rates up to 1000 times. In the case of an exact solution with Eventual BIM (pure MoM), a difficult task not performed by our research group, the estimated run-time for the solution of the problem (120,074 unknowns) is approximately 60*3600 sec, whereas the estimated memory required would approximately be equal to 130 GB of RAM.…”

Section: Near Field Area Results and Commentsmentioning

confidence: 99%

“…(1) has already been computed with three different ways, i.e., SPM, standard numerical integration (NI) in two dimensions and exact solution (ES) [17][18][19][20][21][22][23]. SPM-F method and results follow in sections below.…”

Section: Current Density Calculation Using Physical Optics (Po) Appromentioning

confidence: 99%

See 4 more Smart Citations

Scattering of Electromagnetic Waves From a Rectangular Plate Using an Extended Stationary Phase Method Based on Fresnel Functions (Spm-F)

Moschovitis¹,

Anastassiu²,

Frangos³

2010

PIER

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Abstract-This paper presents an extension over a novel, three dimensional high frequency method for the calculation of the scattered electromagnetic (EM) field from a Perfect Electric Conductor (PEC) plate, which is based on the Physical Optics (PO) approximation and the Stationary Phase Method (SPM). This extension defines a new analytical method which is proved to be very efficient in computer execution time and enhances the accuracy of its predecessor around the area of the main scattering lobe. This new analytical method accomplishes high accuracy through the use of higher order approximation terms, which imply the use of Fresnel functions (SPM-F method). By using higher order Fresnel approximation terms, no impact on the time efficiency of the SPM method appears to

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Section: Introductionsupporting

confidence: 63%

Section: Numerical Results Using Matlabmentioning

confidence: 99%

Section: Near Field Area Results and Commentsmentioning

confidence: 99%

Section: Near Field Area Results and Commentsmentioning

confidence: 99%

Section: Current Density Calculation Using Physical Optics (Po) Appromentioning

confidence: 99%

See 3 more Smart Citations

Scattering of Electromagnetic Waves From a Rectangular Plate Using an Extended Stationary Phase Method Based on Fresnel Functions (Spm-F)

Moschovitis¹,

Anastassiu²,

Frangos³

2010

PIER

View full text Add to dashboard Cite

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Comparative study of miscellaneous methods applied to a benchmark, inlet scattering problem

Fromentin-Denozière¹,

Simon²,

Tzoulis³

et al. 2015

IET Radar, Sonar & Navigation

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Several well-known computational methods, based on various mathematical concepts, are applied to the electromagnetic scattering analysis of a benchmark cavity structure. Specifically, a simplified jet engine inlet configuration is defined, constructed and used as reference, whereas predicted numerical results for the radar cross-section are compared with measurements. The merits and drawbacks of each method are highlighted and quantified, with respect to accuracy, efficiency, resource requirements, reliability and robustness. Conclusions may be exploited in the near future in the construction of reliable classifiers, used in non-cooperative target identification

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Directly Connected Hybrid Finite Element–Boundary Integral–Ray-Optical Models

Eibert

Tzoulis

2010

Electromagnetics

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The hybrid finite element-boundary integral-uniform geometrical theory of diffraction method with acceleration by the multi-level fast multi-pole method is extended in a way that allows the application of the hybrid method to problems, where the finite element-boundary integral-multi-level fast multi-pole method parts of the model can be directly connected to uniform geometrical theory of diffraction regions. This becomes possible by an appropriate utilization of Huygens' principle, together with the fact that the regions exterior to the introduced Huygens surface is free of any fields and can thus be filled with arbitrary materials. As such, the appropriate materials are chosen in order to obtain simple enough bodies, which can be treated by the uniform geometrical theory of diffraction. Since some of the boundary integral basis functions typically touch flat parts of these bodies, the image principle is employed for the accurate evaluation of the corresponding boundary integrals. Numerical results for radiation and scattering problems are presented and compared to reference numerical data. The obtained results prove the feasibility of the procedure and considerable computation time and memory savings.

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Ray Optical Electromagnetic Far-Field Scattering Computations Using Planar Near-Field Scanning Techniques

Cited by 5 publications

References 16 publications

Scattering of Electromagnetic Waves From a Rectangular Plate Using an Extended Stationary Phase Method Based on Fresnel Functions (Spm-F)

Scattering of Electromagnetic Waves From a Rectangular Plate Using an Extended Stationary Phase Method Based on Fresnel Functions (Spm-F)

Comparative study of miscellaneous methods applied to a benchmark, inlet scattering problem

Directly Connected Hybrid Finite Element–Boundary Integral–Ray-Optical Models

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