Concepedia

Fitting refractive-index data with the Sellmeier dispersion formula

Applied Optics · 1984 · 348 citations · 17 references

Concepts

Optical MaterialsEngineeringMeasurementOptic DesignOptical GlassOptical TestingOptical Index DataDispersionSellmeier Dispersion FormulaOptical PropertiesCalibrationOptical SystemsVariable Projection AlgorithmPhotonicsPhysicsOptical MeasurementGeometrical OpticApplied PhysicsOptical System Analysis

Abstract

The fitting of measured optical index data to the Sellmeier dispersion formula, using the variable projection algorithm, is described. Examples of fits obtained by this method to several Schott optical glasses and non-glass materials are given.

References

17

Interspecimen Comparison of the Refractive Index of Fused Silica*,†

Irving H. Malitson · Journal of the Optical Society of America · 1965 · 4K citations

Optical Materials, Engineering, Optical Glass +18

The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

Gene H. Golub, Víctor Pereyra · SIAM Journal on Numerical Analysis · 1973 · 1.4K citations

Mathematical Programming, Nonlinear System Identification, Nonlinear Models +12

On best approximate solutions of linear matrix equations

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1956 · 773 citations

Numerical Analysis, Unique Generalization, Non-singular Matrix +10

The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate.

G. H. GOLUBf, Víctor Pereyra · 1973 · 734 citations

Numerical Analysis, Engineering, Fr6chet Derivative +15

Refractive index of alkali halides and its wavelength and temperature derivatives

H. H. Li · Journal of Physical and Chemical Reference Data · 1976 · 434 citations

Optical Materials, Engineering, Optical Glass +16