Other
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976itap...24..336v&link_type=abstract
IEEE Transactions on Antennas and Propagation, vol. AP-24, May 1976, p. 336-340.
Other
Antenna Design, Computer Aided Design, Parabolic Reflectors, Radio Telescopes, Ray Tracing, Two Reflector Antennas, Computer Programs, Error Correcting Devices, Mirrors, Radio Antennas, Surface Geometry, Transmission Efficiency, Wave Reflection
Scientific paper
A computer program (DERIVE) for designing reflecting surfaces of two-mirror radio telescopes is described. The program calculates the shape of a correcting secondary mirror to any given primary mirror via ray tracing, with zero path length errors for all paraxial rays. A precondition (for Cassegrain systems) is that rays reflected from the primary not cross each other before impinging on the secondary, and equations for this constraint are derived. A disadvantage is that rays approaching each other too closely (even if they do not cross) will degrade efficiency through uneven illumination. Surface deviations of a primary reflector can be corrected in existing radio telescopes by using an appropriately shaped secondary reflector. The uneven illumination pattern resulting as trade-off in correcting a bumpy or wavy surface is investigated, and efficiency is found degraded equally for all wavelengths (-3 dB if rays almost cross). A tertiary correcting mirror would be effective only in cases of rotational symmetry.
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