Complex refractive index measurements based on Fresnel's equations and the uses of a lock-in amplifier

Der-Chin Su; Ming-Horng Chiu; JuYi Lee

doi:10.1117/12.370265

16 November 1999 Complex refractive index measurements based on Fresnel's equations and the uses of a lock-in amplifier

Der-Chin Su, Ming-Horng Chiu, JuYi Lee

Proceedings Volume 3835, Three-Dimensional Imaging, Optical Metrology, and Inspection V; (1999) https://doi.org/10.1117/12.370265
Event: Photonics East '99, 1999, Boston, MA, United States

Abstract

A new method for measuring complex refractive index is presented based on Fresnel's equations and the uses of a lock-in amplifier. A lock-in amplifier is introduced into a common path interferometer to measure the product of the amplitude reflection coefficients of s and p polarizations and their corresponding phase difference of a light beam reflected from a medium with complex refractive index. Then, these data are substituted into the special equations derived from Fresnel's equations, the complex refractive index can be obtained by numerical calculations. The resolution of this method is better than 0.01. It has both merits of a conventional common-path interferometer and a heterodyne interferometer. And its validity is demonstrated.

Citation Download Citation

Der-Chin Su, Ming-Horng Chiu, and JuYi Lee "Complex refractive index measurements based on Fresnel's equations and the uses of a lock-in amplifier", Proc. SPIE 3835, Three-Dimensional Imaging, Optical Metrology, and Inspection V, (16 November 1999); https://doi.org/10.1117/12.370265

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KEYWORDS

Refractive index

Interferometers

Polarization

Optical amplifiers

Heterodyning

Reflection

Amplifiers

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