Characteristics of propagation function of Plane wave diffracted by small circular band
Based on the scalar diffraction theory and the boundary condition of Rayleigh-Sommerfeld,the accurate on-axis propagating wave function of plane wave diffracted by small circular band is obtained by solving the first integral of Rayleigh-Sommerfeld.By means of the function,the extremas of on-axis light intensity,the locations and number as a function of the radius of small circular band are analyzed,and then extend the conclusion as the inner radius trends to zero or outer radius trends to infinity.This study offers the conclusion not only for the application of engineering and technology but also for the optics education.
This paper considers a method to realize a two-valued input three-valued output function f:{0, 1}/sup n//spl rarr/{0, 1, 2} by using a cascade of four-input cells. Decomposition of a group function is used to find a canonical form. We show that the Walsh spectrum specifies the canonical form, and the number of non-zero coefficients in the spectrum is proportional to the number of cells in the cascade. Finally, we show a design algorithm for a p-valued function f:{0, 1}/sup n//spl rarr/{0, 1, ..., p-1}. The designed cascades are reversible and conservative.