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With the help of ABCD matrix concept, we examine the coupling efficiency of a single mode circular core graded index fiber (GIF) excited by laser diode via cylindrical micro lens on the fiber tip. We investigate the efficiencies for refractive index distribution of some specific profile exponents such as  g  = 4.0, 8.0, 10.0 and 20.0. The refractive index distribution for GIFs had been studied earlier. The efficiency is calculated along the vertical plane as the efficiency is very poor along the horizontal plane. For two very common wavelengths 1.3 μm and 1.5 μm the efficiencies have been calculated and for 1.3 μm wavelength the refractive index distribution of profile exponent ( g ) having the value  g  = 4 is found to be most efficient in this context. The results are very much important in the design of optical optimization.

Study of coupling optics of cylindrical microlens fabricated on tips of graded index fibers having different profile exponents