L Marder 1978 J. Phys. D: Appl. Phys. 11 2489 doi:10.1088/0022-3727/11/18/007
L Marder
Show affiliationsA new model is presented for a reflector producing a shaped narrow beam when illuminated by a point feed. The deviation from an idealised (Dunbar) model which has zero beam width in the geometrical optics approximation is regulated by a single arbitrary function tau , introduced to enhance the physical optics performance. In terms of tau , the phase distribution on a plane aperture is readily computed. Reflector profiles are then calculated by integration along the characteristics of a first order non-linear partial differential equation, leading to explicit formulae involving only ordinary quadratures. Initial data arises naturally on the central-section curve. It is shown that for continuous reflectors a well-known design due to Brunner (1971), frequently used in surveillance radar, is mathematically inconsistent.
42.79.Fm Reflectors, beam splitters, and deflectors
Issue 18 (21 December 1978)
L Marder 1978 J. Phys. D: Appl. Phys. 11 2489
I W Hamley 2003 Nanotechnology 14 R39
K R Shortt et al 1993 Phys. Med. Biol. 38 1937
John G Baker et al 2007 Class. Quantum Grav. 24 S25
J Korbicz and J Tafel 2004 Class. Quantum Grav. 21 3301
A Botman et al 2006 Nanotechnology 17 3779
R J Angel et al 2001 J. Phys.: Condens. Matter 13 5353
M J Benacquista et al 2001 Class. Quantum Grav. 18 4025
Shinji Tsujikawa et al 2004 Class. Quantum Grav. 21 5767
Xinming Liu et al 2009 Phys. Med. Biol. 54 6959