Abstract
Employing ABCD matrix for hemispherical lens under paraxial approximation and Gaussian field distributions for both the source and the fiber, we report a simple theoretical investigation of the coupling efficiency of a laser diode to a single-mode fiber via hemispherical lens on the fiber tip. The analysis also takes care of the allowable aperture of the hemispherical lens. Our model simplifies calculations which are executable by a pocket calculator. Our results agree excellently with the experimental observations.
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