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Automating Damped Least Squares to Solve the Equations Determining Refractive Index of Crystals

A. W. Matz

Journal of the Royal Statistical Society Series C, 1964, vol. 13, issue 2, 118-127

Abstract: The determination of the complex refractive index n – ik of crystal material from measured transmission | T | and reflection | R | is of real interest in physical optics, and involves the solution of two highly non‐linear simultaneous equations. A means is outlined by which the method of ‘damped’ least squares may be made fully automatic, and which has yielded the (multiple) solutions of these equations to fine accuracy in a very short time on a digital computer.

Date: 1964
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