Download Diffractional Optics of Millimetre Waves (Series on Optics by I.V. Minin, O.V. Minin PDF
By I.V. Minin, O.V. Minin
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27): if F1 ðU1 Þ and F2 ðU2 Þ are Fourier transforms of the functions U1 and U2 and also ð U ¼ U1 U2 ¼ U1 ð’1 ÞU2 ð’ ÿ ’2 Þ d’ ÿ then FðU1 U2 Þ ¼ FðU1 ÞFðU2 Þ, and therefore U1 U2 ¼ F ÿ1 ðF1 F2 Þ. 28). Indeed, if we know, for example, the expansion Uð Þ ¼ N ’ , then the series 0 Cn cos n’ on the interval ÿ for the function Uð’Þ cos n’ can be written as Uð’Þ cos n’ ¼ N X 1 2 Cn ½cosðn þ 1Þ’ þ cosðn ÿ 1Þ’ ¼ X dn cos n’ 0 where dn ¼ ðCn ÿ 1 þ Cn þ 1 Þ=2. At the third stage, the spectra of the obtained Fourier transforms of the corresponding functions multiplied by the coefficients fj , j ¼ 1; .
The following basic components are included in a numerical experiment. Stage one—the stage of input of the initial information—includes an analysis establishing the existence of a solution and checking the format of the initial data for correctness. At the second stage the boundaries of the computation region are requested, a discrete phase function of the element to be synthesized is created, its type is determined and the focusing and/or frequency properties are computed. At the last stage the results obtained are visualized as various relations and curves, or computer animations composed of display files are created.
5(b); the design of a quarter-wavelength zone plate is very similar. 5. Reflection-type zone plates: (a) Soret zone plate, (b) Wood zone plate with profiled reflector, (c) Soret zone plate with flat reflector, (d) zone plate on a dielectric substrate with a reflector, (e) multilevel zone plate on ‘freely suspended’ zones, (f ) halfwavelength Wood zone plate with dielectric reflector, (g) multilevel zone plate with dielectric reflector. 5(c)). 5(d), suggested by Huder and Menzel [41], consists in filling the air gap between the planar reflector and zone plate with a dielectric.