Application of Lorentz geometry to evaluation of irradiance patterns

Ángel García-Botella; Manuel Gutiérrez; Lun Jiang

doi:10.1117/12.2633812

3 October 2022 Application of Lorentz geometry to evaluation of irradiance patterns

Ángel García-Botella, Manuel Gutiérrez, Lun Jiang

Proceedings Volume 12220, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XVIII; 1222007 (2022) https://doi.org/10.1117/12.2633812
Event: SPIE Optical Engineering + Applications, 2022, San Diego, California, United States

Abstract

Geometrical vector flux ~ J, is a well stablished technique in nonimaging optics. The main properties of the vector ~ J, by one side is that the field lines and flux tubes of ~ J provides the geometry for ideal concentrators and, to other, the components of ~ J at any point P are proportional to the irradiance at that point. The latest one means that, at any point P, the Jz component is proportional to the irradiance incident at P upon the XY plane. Lorentz geometry was applied to nonimaging optics by M.Gutierrez et al.5 were they showed that using Lorentz technique it is possible to obtain the field lines and flux tubes of ~ J. In this paper we shown that it is also possible to obtain the modulus of ~ J and then the irradiance pattern produced by Lambertian sources using Lorentz geometry formalism.

Conference Presentation

Citation Download Citation

Ángel García-Botella, Manuel Gutiérrez, and Lun Jiang "Application of Lorentz geometry to evaluation of irradiance patterns", Proc. SPIE 12220, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XVIII, 1222007 (3 October 2022); https://doi.org/10.1117/12.2633812

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