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alignment tolerances angle angular misalignment aperture Appl approximation axial misalignment ball lens beam parameter beam waist butt joint calculated coefficient confocal coupler coupling circuit coupling efficiency coupling loss coupling method curves cylindrical lens diameter diffraction distance endface equation etching experimental fabrication facet far-field fiber core fiber coupling fiber end fibre field focal length function Gaussian beam GRIN rod lens IEEE junction plane laser beam laser diode modules lateral offset lenses Lett light maximum coupling efficiency measured microlens mirror misalignment tolerances mode fiber multimode fiber obtained offset tolerance optical fiber optimum output power paraxial perpendicular photoresist planar pling polarization power coupling propagation Quantum Electron ratio reflection refractive index resonator Saruwatari semiconductor laser shown in Fig single-mode fiber single-mode optical fiber spherical aberration spot size spot sizes surface taper technique theoretical tilt tion transmission virtual fiber wave wavelength