Diffraction of an electromagnetic pulse on a finite circular cone

Vasil'ev, E. N.; Gorelikov, A. I.; Efimova, I. G.

doi:10.1007/bf01035377

Radiophys Quantum Electron

1981

DOI: 10.1007/bf01035377

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Diffraction of an electromagnetic pulse on a finite circular cone

E. N. Vasil'ev¹,

A. I. Gorelikov²,

I. G. Efimova³

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1999

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“…Here, as for the scattering of a rectangular video signal or a radio signal with a high-frequency filling [4], we can clearly identify the contributions due to primary and secondary diffraction on the metallic edge of the base. The pulse produced by primary diffraction on the edge of an ideally conducting cone peaks at the time instant ct/2a = 3.4, which corresponds to the time for the wave to cover the distance from the origin to the cross-sectional plane through the point C of the cone (Fig.…”

mentioning

confidence: 99%

“…It has been established [4] that an acceptable accuracy is reached if the pulse train fill ratio is not less than 30, i.e.,…”

mentioning

confidence: 99%

“…As in [4,5], we consider the back-scattered field of a plane monochromatic wave incident on a dielectric-coated cone. As the transfer function of the system we take…”

mentioning

confidence: 99%

“…It solves the diffraction problem of a monochromatic wave in the frequency domain and then applies the inverse Fourier transform to pass to the time domain. This approach has been used to investigate the scattered nonstationary signal on an ideally conducting finite circular cone [4,5] with the primary wave propagating along the cone axis. The frequency dependences for inverse scattering used in these…”

mentioning

confidence: 99%

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Diffraction of an electromagnetic signal on an ideally conducting cone with a dielectric coating

Efimova¹,

Sedel'nikova²

1999

Comput Math Model

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The paper examines the scattering of a Gaussian video signal by an ideally conducting circular cone coated with a dielectric layer. The problem is solved by the method of integral equations for monochromatic waves at low and resonance frequencies with subsequent Fourier transformation to the time domain. The response is investigated with signals propagating along the symmetry axis from the direction of the apex and from the direction of the base for dielectric layers of various permittivities.The development of video pulse radar has stimulated theoretical research on the diffraction of nonstationary electromagnetic signals on various bodies. This body of research has been based on time-domain integral equations (TDIE) for currents induced on the surface of an ideally conducting scatterer [1,2]. TDIE have been solved numerically using various approximations in time and in space. The body surface is partitioned into elements and the current is determined at the center of each surface element as a function of time. In this setting, we can in principle solve diffraction problems on bodies of an arbitrary shape. This approach, however, involves large RAM requirements, because we need to save currents and their derivatives at each time instant. For axially symmetric bodies, the currents can be expanded in Fourier series in the azimuthal coordinates, and information about the Fourier coefficients for the currents and their first derivatives needs to be saved only at selected points of the generatrix, and not on the entire surface. This results in an essential saving of computer memory [3].Such a TDIE algorithm for dielectrics or dielectric-coated ideally conducting bodies is extremely difficult to implement at present. TDIE are quite complex, specifically due to the presence of second time derivatives of currents. Recall that integral equations for ideally conducting bodies contain currents and their first time derivatives only.There is an alternative approach to investigating the scattering of nonstationary signals. It solves the diffraction problem of a monochromatic wave in the frequency domain and then applies the inverse Fourier transform to pass to the time domain. This approach has been used to investigate the scattered nonstationary signal on an ideally conducting finite circular cone [4,5] with the primary wave propagating along the cone axis. The frequency dependences for inverse scattering used in these

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mentioning

confidence: 99%

“…It has been established [4] that an acceptable accuracy is reached if the pulse train fill ratio is not less than 30, i.e.,…”

mentioning

confidence: 99%

“…As in [4,5], we consider the back-scattered field of a plane monochromatic wave incident on a dielectric-coated cone. As the transfer function of the system we take…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Diffraction of an electromagnetic signal on an ideally conducting cone with a dielectric coating

Efimova¹,

Sedel'nikova²

1999

Comput Math Model

Self Cite

View full text Add to dashboard Cite

show abstract

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Diffraction of an electromagnetic pulse on a finite circular cone

Cited by 1 publication

References 2 publications

Diffraction of an electromagnetic signal on an ideally conducting cone with a dielectric coating

Diffraction of an electromagnetic signal on an ideally conducting cone with a dielectric coating

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