Analysis of far-field distance of LED arrays based on an improved error calculation formula

Wentao Cai; Xianming Liu; Peng Zhang; Weimin Chen

doi:10.1117/12.2022417

18 September 2013 Analysis of far-field distance of LED arrays based on an improved error calculation formula

Wentao Cai, Xianming Liu, Peng Zhang, Weimin Chen

Author Affiliations +

Proceedings Volume 8834, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration X; 88340R (2013) https://doi.org/10.1117/12.2022417
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

If a surface light source is in far-field working condition, the error from using the inverse-square law about intensity and distance should be less than 1%. However, the results of where the far-field begin may be quite different with different error definition. In this paper, by comparing several formulas commonly used for error analysis, the root mean square (RMS) weighted by the sum of intensity at infinity is proposed as the preferred error formula for far-field distances calculation. The relative far-field distances (RFFDs) for LED arrays with different radiation pattern are calculated based on this error definition.

Citation Download Citation

Wentao Cai, Wentao Cai, Xianming Liu, Xianming Liu, Peng Zhang, Peng Zhang, Weimin Chen, Weimin Chen, "Analysis of far-field distance of LED arrays based on an improved error calculation formula", Proc. SPIE 8834, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration X, 88340R (18 September 2013); doi: 10.1117/12.2022417; https://doi.org/10.1117/12.2022417

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