Ushakov L. Geometrical design the form of reflector, able to concentrate the reflected rays in the set volume of space

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U005125

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

19-12-2007

Specialized Academic Board

Д26.056.06

Essay

The thesis is devoted to the new decision of a problem of geometrical simulation of reflective surfaces with the properties similar to focal properties of an ellipsoid of revolution, both grounded on drawing up and the decision of the differential equation of a special aspect that has allowed to define the profile of a reflective surface in its axial section. To principal results it is necessary to refer methods of drawing up of the ordinary differential equation which decision may be a curve on a plane, generalizing focal properties of an ellipse, and the algorithm of a determination of such decision is made. The method of drawing up of a differential partial equation which decision may be a reflective surface of kvaziparaboloid with the dot focuses, transiting through the given curve also is developed

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