NOVEL APPROACH TO DERIVATION OF DIFFERENTIAL EQUATION OF REFLECTION AT CONFORMAL ANGLE DEFINITION

Dionýz Gašparovský

   The paper presents a novel approach to deriving the differential equation of reflection which is a starting point for mathematical modelling of reflectors. The differential equation of reflection is based on well-known formulae and principles from optics, but with slight modifications for the lighting technology practice, ie. for calculation of reflectors for luminaries. The approach presented in the paper is built on a direct expression of the situation in the meridian plane and considered under assumption of conformal angle definition for description of both incident and reflected rays, which differs from previous schemes.

Keywords: reflector, luminance, mathematical modelling, reflecting surface, forming curve, differential equation of reflection

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