Analysis of gravitational lens antennas

Computer Science – Performance

Scientific paper

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Antenna Radiation Patterns, Directivity, Gravitational Lenses, Microwave Antennas, Sun, Apertures, Electromagnetic Radiation, Far Fields, Near Fields, Radiant Flux Density

Scientific paper

A well known consequence of general relativity is that the gravitational field of a star acts on electromagnetic radiation as a lens with spherical symmetry. It has been suggested in the past that this gravitational lens effect could be exploited to increase the gain of a microwave antenna. In this paper we have computed the radiation pattern of the antenna-sun system, which has an extremely high directivity. It has been observed that the focal region of the lens for an incoming plane wave is a half line parallel to the propagation direction starting at a point whose position is related to the blocking effect of the sun disk. Moreover, a characteristic of this lens is that its gain, defined as the magnification factor of the antenna gain, is constant along this half line. In particular, for a wavelength of 21 cm, the lens gain reaches the value of 57.5 dB. Also a measure of the transversal extent of the focal region has been obtained. The performance of this radiation system has been determined by adopting a thin lens model introduces a phase factor depending on the logarithm of the impact parameter of the incident rays. Then the antenna is considered to be in transmission mode and the radiated field is computed by asympotic evaluation of the radiation integral in the Fresnel approximation.

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