General, simple, and accurate analytic representation for the far-field radiation pattern of LEDs

What is it about?

Proposes a general, simple, and accurate analytic representation for the far-field radiation pattern of light-emitting diodes (LEDs) using a sum of Gaussian or cosine-power functions, suitable for modeling a wide variety of patterns from major manufacturers.

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Photo by Mago Brown on Unsplash

Photo by Mago Brown on Unsplash

Why is it important?

This model is important because standard LED radiation patterns rarely follow a perfect, theoretical distribution. While simple calculations assume LEDs are perfect "Lambertian" emitters (radiating light uniformly in all directions), real-world LEDs have complex structures. An accurate mathematical model is crucial for several key reasons: 1. It accounts for real-world physical complexities of LED radiation patterns. 2. It accelerates high-accuracy optical simulations. 3. It is helpful for precision engineering of secondary optics.