A technique to combine the geometrical theory of diffraction and the moment method

Burnside, W. D.; Yu, C. L.; Marhefka, R.J.

doi:10.1109/tap.1975.1141117

Cited by 147 publications

(30 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They range from the use of hybrid approaches combining MoM with highfrequency asymptotic methods [2][3][4], to transformations of the full matrix into one with appreciable sparsity by a change of basis [5][6][7], and to accelerated matrix-vector products in iterative schemes [8 -13]. Among these techniques, it has been shown that the fast-multipole method (FMM) [9 -11] and its multilevel versions [12,13] are very useful, because they strongly reduce the computational complexity of large problems, without a sacrifice of the accuracy versus conventional MoM.…”

Section: Introductionmentioning

confidence: 99%

“…A more widely used method is the incorporation of phase shifters in the corporate feed network [1,2]. This solution arises with several disadvantages, such as the increasing complexity of the network, since additional electronic is necessary to control the phase shifters.…”

Section: Introductionmentioning

confidence: 99%

“…This is the case of Blass matrices, Rotman lenses, and Butler matrices [1,2]. For instance, in the last case, the Butler matrices can produce a large number of highquality orthogonal beams with the use of few components.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Efficient asymptotic-phase modeling of the induced currents in the fast multipole method

García-Tuñón

Taboada

Rodríguez

et al. 2006

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

The results of both simulations and measurements in the far field zone are represented in Figures 6 and 7. The half-power beamwidth is of 8.5°in the H-plane and 12°in the E-plane, and the crosspolarization component is lower than Ϫ25 dB in both principal planes.The measured antenna gain for different numbers of dielectric slabs is presented in Figure 8. It shows clearly that the antenna gain increases with the number of dielectric slabs, varying from 6 dBi without any slabs, to 14 dBi with one slab, to 19 dBi with two slabs. Concerning the antenna bandwidth, defined as the Ϫ3-dB criterion when considering the antenna gain, it covers almost the whole observed frequency band (38 -40 GHz) for the cases of the slot antenna and of the structure using one dielectric slab; by using two slabs for the focusing system, the bandwidth is still of 0.5 GHz, which stays very interesting for millimeter-wave applications. A more significant increase of the number of dielectric slabs would conduct to a focusing system acting as a higher order spatial passband filter, where the resulting antenna would still be centred around 38.9 GHz, but would operate with a much lower bandwidth. CONCLUSIONA waveguide-fed slot antenna has been optimized for an operation in the band of 38 -40 GHz, with a return loss coefficient lower than Ϫ16 dB. A focusing system has been added to the previous structure in order to increase the antenna performances, by developing a Fabry-Perot cavity resonator made of two slabs of dielectric material. This increases the antenna gain up to 19 dBi, with a central frequency of 38.9 GHz, having a good polarization purity and a working bandwidth of 0.5 GHz. The performances obtained by the association of two technologies, the waveguide and the Fabry-Perot-based cavity resonators, makes it possible to consider such antennas structures a good choice for point-to-point and point-to-multipoint telecommunication systems. REFERENCES

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Efficient asymptotic-phase modeling of the induced currents in the fast multipole method

García-Tuñón

Taboada

Rodríguez

et al. 2006

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

show abstract

“…They range from the use of hybrid approaches combining MoM with highfrequency asymptotic methods [3][4][5], to transformations of the full matrix of the MoM into one with appreciable sparsity by a change of basis [6 -8], and to accelerated matrix-vector products in iterative schemes [9,10]. The strategy in all these works consists of reducing the computational cost and memory requirements by improving the efficiency, without affecting the number of unknowns.…”

Section: Introductionmentioning

confidence: 99%

“…For the case near the edges, several approaches have been proposed, either within MAS for impedance scatterers satisfying the standard impedance boundary condition (SIBC) [2,3], or as a hybrid formulation for metallic and penetrable scatterers, in which case MoM regions are applied locally at the edges [4]. These works considered plane-wave illumination only.…”

Section: Introductionmentioning

confidence: 99%

Incorporation of linear-phase progression in RWG basis functions

Taboada

Obelleiro

Rodríguez

et al. 2004

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

A linear-phase term is incorporated into the triangular-type Rao-Wilton-Glisson (RWG) vector basis functions in the method of moments (MoM) formulation. The objective consists of including the dominant phase variation of the current density within the basis-functions formulation, thus allowing an efficient representation of the induced current on large bodies using fewer unknowns. Assuming a good estimation of the phase variation, the new MoM formulation with linearly-phased RWG basis functions is shown to greatly relieve the storage and solution time of the conventional MoM with RWG basis functions, while accurately reproducing the scattered fields of some chosen problems. ABSTRACT: A hybrid technique for 2D scattering problems with impedance structures and closely positioned illuminating sources is presented. This technique combines the method of auxiliary sources (MAS) with a localized method of moments (MoM) region near the source. Significant improvements over standard MAS are obtained.

show abstract

A hybrid technique combining the moment method with physical optics and uniform asymptotics for scattering from 2-D cylinders

Sullivan

Carin

1999

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

A technique to combine the geometrical theory of diffraction and the moment method

Cited by 147 publications

References 5 publications

Efficient asymptotic-phase modeling of the induced currents in the fast multipole method

Efficient asymptotic-phase modeling of the induced currents in the fast multipole method

Incorporation of linear-phase progression in RWG basis functions

A hybrid technique combining the moment method with physical optics and uniform asymptotics for scattering from 2-D cylinders

Contact Info

Product

Resources

About