Zakusylo A. Holomorphic interlacings of semigroups.

The thesis is devoted to the problem of further development of geometric simulation theory of reflective surfaces by designing of the method of reflected flux on the basis of numerical modeling of plane problem of reflection device, and algorithms of geometric simulation of shape and position of concentrating components for flat-plate collectors. An algorithm and programs with the application of software MathCAD are proposed in this work for the purpose of computer models derivation for given reflected curve under arbitrary inclination of sunrays. It’s considered to be the further development of reflection instrument model concerning plane problem. An algorithm of taking computer model of accompanying curves for given orthothomics is worked out. This makes it possible to model reflective surfaces in movable solar stations while generating receiver is the line of orthothomics. Theoretical base of the proposed method of geometric simulation of reflected flux on the basis of plane problem is developed. This method is applicable for the surfaces which input movable plane is the incidence plane of section normal of the reflective surface. An equality of projected angle of decline and reflection on the incidence plane is observed. Therefore three-dimensional problem solving adds up to plane one. An algorithm of obtaining computer model of karst area definition in reflected flux is elaborated. This algorithm is used for some kinds of rotative surfaces and surfaces of revolution under variable inclination of sunrays.