Scattering of Electromagnetic Waves From a Rectangular Plate Using an Enhanced Stationary Phase Method Approximation

Moschovitis, C.G.; Karakatselos, K. T.; Papkelis, E.; Anastassiu, H.T.; Ouranos, Iakovos; Tzoulis, A.; Frangos, Panayiotis

doi:10.1109/tap.2009.2024015

Cited by 11 publications

(41 citation statements)

References 6 publications

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“…Furthermore, in order to calculate integral 1 (in an almost identical manner, integrals 2 and 3 will be calculated, using the SPM method [11][12][13]17]), let us assume large argument approximation for the Hankel functions of (32)-(34); namely, let us assume that…”

Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

“…Next, according to the SPM method [11][12][13]17], the "stationary point" is calculated from the following relation: which finally yields the following expression for the "stationary point" (only one stationary point exists):…”

Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

“…Furthermore, according to the SPM method [11][12][13]17], we also have to calculate the second derivative of the phase function, which in our case is calculated, from (38) and (40) as…”

Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

“…Then, in the present paper, the authors concentrate on the solution of the classical "Sommerfeld radiation problem" described above, where the radiation of a vertical dipole moment at angular frequency takes place above flat lossy ground (this is equivalent to the radiation of a vertical small (Hertzian) dipole above flat lossy ground, as it will be explained by formula in the main text). By using the stationary phase method (SPM method [11][12][13]), integration over the radial spectral coordinate is performed and the high frequency solution to the problem ("space wave, " which represents the interference of the line-of-sight (LOS) and the wave scattered from the ground) is derived, as it will be explained in detail in Section 4. Finally, numerical results which show both the "space wave" mentioned above and Norton's "surface wave" [7,8] are presented in Section 6.…”

Section: Introductionmentioning

confidence: 99%

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The Radiation Problem from a Vertical Hertzian Dipole Antenna above Flat and Lossy Ground: Novel Formulation in the Spectral Domain with Closed-Form Analytical Solution in the High Frequency Regime

Ioannidi

Christakis

Sautbekov

et al. 2014

International Journal of Antennas and Propagation

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We consider the problem of radiation from a vertical short (Hertzian) dipole above flat lossy ground, which represents the wellknown "Sommerfeld radiation problem" in the literature. The problem is formulated in a novel spectral domain approach, and by inverse three-dimensional Fourier transformation the expressions for the received electric and magnetic (EM) field in the physical space are derived as one-dimensional integrals over the radial component of wavevector, in cylindrical coordinates. This formulation appears to have inherent advantages over the classical formulation by Sommerfeld, performed in the spatial domain, since it avoids the use of the so-called Hertz potential and its subsequent differentiation for the calculation of the received EM field. Subsequent use of the stationary phase method in the high frequency regime yields closed-form analytical solutions for the received EM field vectors, which coincide with the corresponding reflected EM field originating from the image point. In this way, we conclude that the so-called "space wave" in the literature represents the total solution of the Sommerfeld problem in the high frequency regime, in which case the surface wave can be ignored. Finally, numerical results are presented, in comparison with corresponding numerical results based on Norton's solution of the problem.

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Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

“…Furthermore, according to the SPM method [11][12][13]17], we also have to calculate the second derivative of the phase function, which in our case is calculated, from (38) and (40) as…”

Section: Electromagnetic (Em) Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Radiation Problem from a Vertical Hertzian Dipole Antenna above Flat and Lossy Ground: Novel Formulation in the Spectral Domain with Closed-Form Analytical Solution in the High Frequency Regime

Ioannidi

Christakis

Sautbekov

et al. 2014

International Journal of Antennas and Propagation

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show abstract

“…In a recent publication [1], we have developed and presented a novel three-dimensional (3-D) high frequency analytical method for the calculation of the vector potential A, and eventually the scattered electromagnetic field (EM) from a Perfect Electric Conductor (PEC) plate geometry, which is presented in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

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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An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

Huang

2015

Int J RF and Microwave Comp Aid Eng

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A novel hybrid method of moments and physical-optics (MOM-PO) method is presented to accurately analyze the performance of antennas placed closely around the electrically large platform modeled with nonuniform rational B-spline (NURBS) surfaces. Ludwig integral combining with stationary phase method is used to calculate the integral of induced currents. In addition, the computational efficiency is significantly improved using grouping of the MOM region and interpolation of critical points. Two numerical examples are calculated. Compared with the results calculated by other algorithms, such as MOM and conventional NURBS MOM-PO, the proposed method shows great capability to solve this particular problem precisely. The listed execution time consumed in different methods demonstrates the high efficiency of this approach.

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Scattering of Electromagnetic Waves From a Rectangular Plate Using an Enhanced Stationary Phase Method Approximation

Cited by 11 publications

References 6 publications

The Radiation Problem from a Vertical Hertzian Dipole Antenna above Flat and Lossy Ground: Novel Formulation in the Spectral Domain with Closed-Form Analytical Solution in the High Frequency Regime

The Radiation Problem from a Vertical Hertzian Dipole Antenna above Flat and Lossy Ground: Novel Formulation in the Spectral Domain with Closed-Form Analytical Solution in the High Frequency Regime

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

An effective NURBS MOM-PO method for fast analyzing antenna around electrically large platform

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