Abstract
A generalized formula of hollow Gaussian beams through the first-ordermisaligned ABCD systems is derived by using the generalized diffractionintegral formula. It is shown that the hollow Gaussian beam passingthrough the misaligned system becomes a decentred hollow Gaussian beam.The propagation properties of the output beam are investigated when itpropagates through a simple misaligned lens system. These resultsprovide a powerful theoretical tool for applications of optical traps.
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