TY - JOUR

T1 - Reflector design for illumination with extended sources

T2 - Nonimaging Optics: Maximum-Efficiency Light Transfer II 1993

AU - Rabl, A.

AU - Gordon, J. M.

N1 - Funding Information:
comments and for carrying out the ray trace calculations. Our collaboration has been facilitated by a grant from the Cooperation Grandes Ecoles - Universitds Israéliennes. An Rabi gratefully acknowledges the generous hospitality of the Blaustein International Center and the Center for Energy and Environmental Physics, Sede Boqer Campus, Israel, during part of the period of this research.
Publisher Copyright:
© 1993 SPIE. All rights reserved.

PY - 1993/11/1

Y1 - 1993/11/1

N2 - The goal of the optical design of luminaires and other radiation distributors is to attain the desired illumination on the target with a given source, while minimizing losses. While the required design procedure is well known for situations where the source can be approximated as a point or as a line, the development of general design methods for extended sources has begun only very recently. A solution for extended sources can be obtained by establishing a one-to-one correspondence between target points and edge rays. In the present paper the possible solutions in two dimensions (cylindrical sources) are identified, and are based on only one reflection for the edge rays. The solutions depend on whether the "image" on the reflector is bounded by rays from the near or from the far edge of the source. For each case there are two solutions that could be called converging and diverging by analogy with imaging optics. Hence four building blocks emerge from which luminaires can be designed. Interesting hybrid configurations can be constructed by combining these building blocks. Thus one can gain a great deal of flexibility for tailoring designs to specific requirements. The differential equation for the reflector is shown to have an analytical solution. Explicit results are presented for symmetric configurations with target at infinity.

AB - The goal of the optical design of luminaires and other radiation distributors is to attain the desired illumination on the target with a given source, while minimizing losses. While the required design procedure is well known for situations where the source can be approximated as a point or as a line, the development of general design methods for extended sources has begun only very recently. A solution for extended sources can be obtained by establishing a one-to-one correspondence between target points and edge rays. In the present paper the possible solutions in two dimensions (cylindrical sources) are identified, and are based on only one reflection for the edge rays. The solutions depend on whether the "image" on the reflector is bounded by rays from the near or from the far edge of the source. For each case there are two solutions that could be called converging and diverging by analogy with imaging optics. Hence four building blocks emerge from which luminaires can be designed. Interesting hybrid configurations can be constructed by combining these building blocks. Thus one can gain a great deal of flexibility for tailoring designs to specific requirements. The differential equation for the reflector is shown to have an analytical solution. Explicit results are presented for symmetric configurations with target at infinity.

UR - http://www.scopus.com/inward/record.url?scp=3843149077&partnerID=8YFLogxK

U2 - 10.1117/12.161940

DO - 10.1117/12.161940

M3 - Conference article

AN - SCOPUS:3843149077

SN - 0277-786X

VL - 2016

SP - 66

EP - 77

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

Y2 - 11 July 1993 through 16 July 1993

ER -