Optical fibers play an important role in general, and in particular in the field of sensors. As part of a sensor system quite often fibers are coupled by a ball lens. For efficient usage, the fiber ball lens systems (FBLS) have to be optimized. The present work presents analytic expressions for design parameters of such systems. FBLS comprise sections of a single-mode optical fiber, a coreless fiber (CLF) and a ball lens. Their geometric dimensions have to be optimized for their use in different application in optical metrology. The derived expressions facilitate the optimum parameter choice which usually is done by expensive numerical simulations. For comparison and validation of the results by experiments, FBLS with different ball lens radii and CLF sections have been prepared by a fusion splicer technique. Their characteristics were investigated in the optical spectral ranges at 630nm and 1550nm. Experimental methods comprising far-field, near-field, reflection /transmission measurements with optical fibers validate the theoretical considerations. To our knowledge this is the first time that simple analytic approaches have been applied to the fabrication of FBLS. This facilitates and quickens their general design for different applications in optical metrology significantly.