A novel Fourier technique for calculating fiber-to-LED coupling efficiency with lateral and longitudinal misalignments

Alignment tolerance is a very desirable quality for a low cost optical connector. Sensitivity to misalignment depends on a number of parameters such as emitter directivity, fiber core radius, fiber numerical aperture, and emitter size. In this paper, we present a novel Fourier technique to calculate the amount of power coupled into a large core fiber for various parameter values and longitudinal and lateral misalignments. This technique can be 100 times faster on a computer compared to the brute force numerical integration method.