Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors

Abstract In the semianalytical models for squeeze film damping, the coefficient of damping torque is expressed as an infinite double series. To work with these models, methods for the efficient numerical evaluation of these double series are important, because, as has been pointed out, the results are given by complicated equations; the application of the results is difficult. This paper presents a transformation of the equations that allows a fast and reliable numerical evaluation of the coefficient of damping torque for torsion mirrors. We give precise error bounds and present examples that illustrate that approximations with one or two terms are often sufficient in practice.