S.V. Ermolaev - Leading Engineer in Radio Communications, Radio Research and Development Institute (Moscow). E-mail: sergeyermolaev@mail.ru, ermolaev@niir.ru

There are known calculation methods for dual-reflector antenna which is capable to convert spherical wavefront with known angular distribution of power density into plane wavefront with a given distribution of power density across the antenna aperture [1−6]. The matter of spherical wavefront conversion into arbitrary wavefront with a given angular distribution of power density for dual-reflector antenna is studied insufficiently. The paper gives a method of calculation for dual-reflector antenna converting spherical wavefront into arbitrary wavefront. The wavefront conversion is achieved via second-order partial differential equation such as Monge-Ampère equation [1−4]. The paper presents main equations for the calculation of the reflector and convergent reflector surfaces of the antenna for a given wavefront conversion.

 

1. Westcott B.S. Shaped Reflector Antenna Design. Letchworth. Hertfordshire. England. Research Studies Press LTD. 1983. 186 p.
2. Westcott B.S., Stevens F.A., Brickel F. GO synthesis of offset dual reflectors // IEE Proceedings. February 1981. V. 128. № 1.
3. Westcott B.S., Graham R.K., Brickel F. Systematic design of a dual offset reflector antenna with an elliptical aperture // IEE Proceedings. December 1984. V. 131. № 6.
4. Westcott B.S., Graham R.K.,Wolton I.C. Synthesis of dual-offset shaped reflectors for arbitrary aperture shapes using continuous domain deformation // IEE Proceedings. February 1986. V. 133. № 1.
5. Ermolaev S.V. Raschet dvukhzerkalnykh antenn s vynesennym obluchatelem s ispolzovaniem kompleksnykh koordinat // Trudy NIIR. 2014. № 2. S. 43−50.
6. Ermolaev S.V. Sintez dvukhzerkalnykh antenn s vynesennym obluchatelem i kruglojj aperturojj // Antenny. 2014. № 7. S. 11−15.
7. Kamke EH. Spravochnik po obyknovennym differencialnym uravnenijam. M.: Nauka. 1976. 576 s.