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Using interference in the frequency domain for precise determination of thickness and refractive indices of normal dispersive materials

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TLDR
In this paper, the authors present an experimental demonstration of the spectral interference phenomenon, using a spectrally broad white-light source in a Michelson interferometer configuration, and they also present a theoretical analysis of spectral interference law for the general case of amplitude-division interferometers.
Abstract
We present an experimental demonstration of the spectral interference phenomenon, using a spectrally broad white-light source in a Michelson interferometer configuration. We also present a theoretical analysis of the spectral interference law for the general case of amplitude-division interferometers. When a dispersive medium is introduced into one of the arms of the interferometer, the spectral interference pattern changes drastically, with a change in the frequency modulation corresponding to the dispersive nature of the medium. A zero-order fringe appears at a wavelength where the net path difference between the two arms of the interferometer is zero. We relate the thickness of the dispersive medium to the width of the zero-order fringe. From the experimental data over the entire visible region of the spectrum we obtain the refractive index n(λ) and the thickness t of the dispersive medium, calculated to an accuracy of the order of 10−5.

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Citations
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Journal ArticleDOI

Spectral resolution and sampling issues in Fourier-transform spectral interferometry

TL;DR: In this paper, the authors investigate experimental limitations in the accuracy of Fourier transform spectral interferometry, a widely used technique for determining the spectral phase difference between two light beams consisting of femtosecond light pulses.
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Dispersion measurements with white-light interferometry

TL;DR: In this paper, a measurement of group delay with an accuracy of ± 0.1 fs and with high spectral resolution was made for the determination of d2n/dλ2 and d3n/Dλ3 of fused silica.
Journal ArticleDOI

Linear optical properties of niobium-based tellurite glasses

TL;DR: In this article, the optical band gap and dispersion energies of these glasses are estimated from the optical absorption spectra and the dispersion energy, average oscillator energy, Abbe's number and third order nonlinear optical susceptibility values are estimated.
Journal ArticleDOI

Influence of the calibration of the detector on spectral interferometry

TL;DR: In this article, the effect of imperfect calibration of the optical spectrometer is demonstrated both theoretically and experimentally, and it is shown that slight calibration imperfections can lead to mistakes because of the principle of spectral interferometry itself.
Journal ArticleDOI

White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica

TL;DR: In this paper, the authors measured the equalization wavelength as a function of the displacement in the Michelson interferometer by a low-resolution miniature fiber-optic spectrometer and confirmed that the group refractive index dispersion in the beam splitter made of fused silica agrees well with that resulting from the Sellmeier dispersion equation.
References
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Journal ArticleDOI

New theory of partial coherence in the space–frequency domain. Part I: spectra and cross spectra of steady-state sources

TL;DR: In this article, the cross-spectral density of a steady-state source of any state of coherence may be expressed in terms of certain new modes of oscillations, each of which represents a completely spatially coherent elementary excitation.
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Spectral coherence and the concept of cross-spectral purity

TL;DR: In this article, the complex degree of spectral coherence, or the spectral correlation coefficient, characterizes the correlations that exist between the spectral components at a given frequency in the light oscillations at two points in a stationary optical field.
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Non-cosmological redshifts of spectral lines

TL;DR: In this article, it was shown that the normalized spectrum of the emitted light caused by the correlations between the source fluctuations within the source region can produce redshifts of spectral lines.
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Real time interferometric measurements of dispersion curves

TL;DR: In this paper, a real-time interferometric measurement of the refractive index as a function of wavelength is presented, which consists in the spectral analysis of the interferogram which is built up when the specimen is placed in a Michelson interferometer illuminated with a broad-continuous spectrum light source.
Journal ArticleDOI

Some new aspects of Young's interference experiment

TL;DR: In this article, the spectral changes which take place in such superposition experiments, when the light incident on the two small apertures has appreciable bandwidth, are elucidated when the interference fringes also provide information about the spectral coherence properties of the incident light.
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