# Modeling the problem of pulse radiation from a slotted cone placed on the inhomogenous plane

## DOI:

https://doi.org/10.1109/ICATT.1999.1236231## Abstract

The time dependent Green’s function boundary problem for a semi-infinite perfectly conducting slotted cone placed on the impedance plane is considered. This geometry can be regarded as a suitable three-dimensional model of slotted cone antennas and wire antennas situated on the imgomogenous plane. The solution method is based on using the Laplace transform, the Kontorovich-Lebedev transform and the Rieman-Hilbert method. The Green’s function representations are derived for the “partly penetrable” cone. The boundary problem spectrum and the plane contribution are investigated.## References

Chan, K.-K.; Felsen, L.B. Transient and time-harmonic diffraction by a semi-infinite cone. *IEEE Trans. Ant. Propagat.*, 1977, Vol. AP-25, No. 6, p. 802-806.

Doroshenko, V.A. Transient radiation from longitudinal slots cut on the cone. *Proc. of II Int. Conf. on Antenna Theory and Techniques*, Kyiv, 1997, p. 8-9, http://icatt.org.ua/proc/article/view/ICATT.1997.1235103.

Shestopalov, V.P. *Summary Equations in Modern Diffraction Theory*. Kiev: Naukova Dumka, 1988 [in Russian].

Doroshenko, V.A.; Klimova, N.P. The solution algorithm of electromagnetic wave scattering problem on a symmetric bicone with longitudinal slots. *Radiotekhnika (Kharkov)*, 1997, No. 101, p. 148-154.

## Published

1999-09-14

## Issue

## Section

UWB, WB and multi-frequency antennas