Abstract
By means of the ABCD matrix relation under paraxial approximation, a simple method to calculate the coupling efficiency for laser diode coupling to cylindrical lensed fiber is presented. The allowable aperture is taken into consideration in our formalism. The mathematical model agrees excellently with earlier work. For the first time various coupling parameters are numerically optimized with the help of gradient method in order to make the coupling more efficient. A cylindrical lensed fiber coupling system is presented with a maximum coupling efficiency up to 94.23%. The effects of fiber tip radius and fiber core radius on coupling efficiency are also studied. Calculations presented in this study are executable by a pocket calculator. The results will guide the design of cylindrical lensed fiber coupling systems.
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