Determination of the Jones matrix for the Sacramento Peak Vacuum Tower Telescope

Computer Science – Numerical Analysis

Scientific paper

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Matrices (Mathematics), Polarimetry, Polarized Light, Telescopes, Accuracy, Numerical Analysis, Sacramento Valley (Ca)

Scientific paper

The study is concerned with the sampling that is required to determine the matrix of the unknown device uniquely as a function of its distinguishable parameters. A unique determination of the device matrix for an n-element serial system of rotationally distinguishable elements is given with a number of measurements that scales like n. This number is much less than is required in a general system having n independent variables and reflects the separable nature of the serial-device matrix. A numerical method is used to model a system containing three rotatable elements, the Sacramento Peak Vacuum Tower Telescope. The solution accuracy is 2.5 percent and is a general function of all of the telescope pointing parameters. The matrix solution permits the recovery of the incoming state of polarization to the system to this degree of accuracy.

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