The coupling of long and thin radiators with nonaxisymmetric reflectors is considered for the production of generally rectangular beams with very good uniformity and attractive collection efficiencies. Reflector profiles are derived analytically, and cases of practical interest are discussed. Numerical results show that medium size beams (0.2–1 sr) may be obtained with collection efficiencies of 40% to 70%. Such beams are perfectly uniform over one angle while over the other they have nonuniformities generally lower than ±10%. Limitations of the reflector dimensions and the effects of the radiator thickness are evaluated both analytically and by experimental observation.
A. C. Malliaris, "The Formation of Uniform Beams from Long and Thin Radiators," Appl. Opt. 9, 553-553 (1970)