A simple mathematical model is derived for conveniently designing laser diode focusing optics with a large numerical aperture. The astigmatism of laser diode beams and the lens truncation effects are considered in the model. The linearly polarized nature of laser diode beams is also included. Two design examples using this model are presented. Design results show that the lens truncation will increase the size of the focused spot and the value of the M2 factor, and the lens truncation caused a focal shift, which is not enough to correct laser diode beam astigmatism.