Computation of optical errors in transparent optical elements due to three dimensional photoelastic effect

Statistics – Computation

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Anisotropic Media, Error Analysis, Optical Materials, Photoelasticity, Finite Element Method, Load Distribution (Forces), Stress Analysis, Transparence

Scientific paper

An analytical method to compute the optical errors due to three-dimensional photoelastic effect of isotropic transparent optical elements is presented. The finite element method is used to compute the stresses in optical elements of arbitrary shape due to general quasi-static mechanical/thermal loads. A parametric finite element model which enables accurate stress, thermal and optical analyses for design study is presented. Equations governing the stress birefringence of the optical element subject to general three-dimensional state of stress, material properties and non-normal beam incidence are derived. Each point in the aperture is characterized by a 2 x 2 complex matrix transformation relating the input beam to the output beam in terms of Jones optical vector. This method allows computation of output optical errors for the entire aperture, in terms of phase retardation and amplitudes of polarization, for an arbitrary input polarization.

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