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2003, 2003(Special): 386-392. doi: 10.3934/proc.2003.2003.386

Lorentz geometry technique in nonimaging optics

Manuel Gutiérrez 1,

1. 

Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071- Málaga, Spain

Received  July 2002 Revised  April 2003 Published  April 2003

Nonimaging optics is a field that studies optimal concentration of light from a source distribution to a receiver. The relevant information is codified by a field of cones at each point of the concentrator, formed by those rays that we want to reach the receiver (perhaps after some reflections on the wall of the concentrator). This suggests that we can use Lorentz geometry to analyze the problem. We will establish a technique to design three dimensional ideal concentrators with arbitrary media which generalizes a previous one for the homogeneous case.
Keywords: Christoffel symbols, Lorentz geometry, Frobenius theorem., Nonimaging optics.
Mathematics Subject Classification: Primary: 78A05; Secondary: 53C5.
Citation: Manuel Gutiérrez. Lorentz geometry technique in nonimaging optics. Conference Publications, 2003, 2003 (Special) : 386-392. doi: 10.3934/proc.2003.2003.386
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