Phase shift formulas in uniaxial media: an application to waveplates

Veiras, Francisco E.; Perez, Liliana I.; Garea, María Teresa

doi:10.1364/ao.49.002769

Cited by 46 publications

(40 citation statements)

References 16 publications

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“…For our application on hyperspectral imaging based on SFTS, this tool is particularly helpful to compute the exact OPD for birefringent interferometers, whatever be the field angles or the complexity of the interferometer, including misorientation of the surfaces or of the optical axes of the birefringent materials. In contrast, the analytical expression of the OPD introduced by a parallel plate given by references [34,35], is only usable for assemblies of perfect parallel plates, and few, if any, papers have presently, to our knowledge, addressed the general case of an arbitrary stack of wedged birefringent plates without approximation in the OPD computation. Therefore our tool proves to be useful to analyze large field of view behavior and to evaluate, or possibly to minimize, the impacts of manufacturing errors.…”

Section: Resultsmentioning

confidence: 99%

“…1). For interferometers like the Savart plate made of a stack of perfect parallel plates surrounded with an isotropic medium, the optical path difference can be calculated using the optical path difference of a plate given by Françon and Mallick or Veiras et al [34,35] . In the case of a Savart interferometer with two plates of equal thickness and optical axes oriented as in the example above, the analytical expression of the OPD at the second order commonly used is:…”

Section: Modeling Of the Real Behavior Of Birefrin-gent Imaging Intermentioning

confidence: 99%

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Numerical modeling of nominal and stray waves in birefringent interferometers: application to large-field-of-view imaging Fourier transform spectrometers

et al. 2018

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Birefringent interferometers are often used for compact static Fourier transform spectrometers. In such devices, several uniaxial birefringent parallel or prismatic plates are stacked, with their optical axes set so that there is an efficient coupling from ordinary to extraordinary and extraordinary to ordinary eigenmodes of two successive plates. Such coupling, aside from few particular cases, is however not perfect, an effect that may adversely affect performance. In order to help the design and the tolerancing of these interferometers, we have developed a numerical modeling, based on the propagation of plane waves inside and through the interface of birefringent media. This tool evaluates the traveled optical path length and the amplitude of the different polarization modes, enabling to predict both the optical path differences on the interferometer outputs and the unwanted coupling strengths and related stray wave amplitudes. The tool behavior is illustrated on Savart and Double-Wollaston interferometers, and compared with experimental characterization of a calcite Double-Wollaston prism. OCIS codes: (260.1440) Birefringence; (120.6200) Spectrometers and spectroscopic instrumentation; (110.4234) Multispectral and hyperspectral imaging; (120.0280) Remote sensing and sensors; (120.4570) Optical design of instruments; (300.6300) Spectroscopy, Fourier transforms; (220.4830) Systems design.

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Section: Resultsmentioning

confidence: 99%

Section: Modeling Of the Real Behavior Of Birefrin-gent Imaging Intermentioning

confidence: 99%

Numerical modeling of nominal and stray waves in birefringent interferometers: application to large-field-of-view imaging Fourier transform spectrometers

et al. 2018

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“…For comparison, a simulated ∆Φ → ∆λ-relation has been added to the Figure to quantify theoretical predictions. The simulated phase shift due to a birefringent delay or displacer plate can be calculated according to a formula provided in ( [10]). It requires the accurate knowledge of the following parameters:…”

Section: Wavelength Scan With the Tunable Lasermentioning

confidence: 99%

A new calibration implementation for Doppler Coherence Imaging Spectroscopy

Gradic

Perseo

König

et al. 2019

Fusion Engineering and Design

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A new widely tunable, continuous-wave laser named C-Wave enables direct calibration at the unshifted, center-of-mass wavelength for most plasma lines in the range between 450 and 650 nm for Doppler Coherence Imaging Spectroscopy. It also provides the ability to scan around each desired wavelength over a small range of ±50 pm, thus enabling an easy way to translate the measured phase difference ∆Φ of the diagnostic to the desired Doppler line shift ∆λ, that corresponds to the physical parameter of interest, the particle velocity of an observed plasma species. A first wavelength scan of the C-Wave laser ±50 pm around a single plasma line of interest, C III at 464.881 nm, is presented and compared to a simulated wavelength scan. It demonstrates not only the C-Wave capability as a Doppler CIS calibration source, but also its potential to immensely simplify Doppler CIS analysis for nearly all visible plasma lines of interest.

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“…One of the BPMs we employ consists of a quartz crystal with its optical axis cut at θ ≈ 45 • from its interfaces. As the BPM rotates, the phase shift between these orthogonal modes varies according to 17,25 ∆φ…”

Section: A Phase Shifting Techniques With Uniaxial Crystal Tilting Pmentioning

confidence: 99%

A birefringent polarization modulator: Application to phase measurement in conoscopic interference patterns

Veiras

Garea

Perez

2016

Review of Scientific Instruments

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Conoscopic interferometry for crystal characterization is a very well-known technique with increasing applications in different fields of technology. The advantage of the scheme proposed here is the introduction of a polarization modulator that allows the recovery of the phase information contained in conoscopic interferograms. This represents a real advantage since the most relevant physical information of the sample under study is usually contained in the phase of the fringe pattern. Moreover, this technique works successfully even when there are no visible fringes. The setup employed is a simple conoscopic interferometer where the elements under study correspond to two birefringent crystal slabs and a commercial mica wave plate. It allows the crystals to be characterized and the wave plate retardance to be measured as a function of the angle of incidence. The modulator itself consists of a single tiltable crystal plate which, by means of phase shifting techniques, permits the recovery of a phase map for each sample. It is inexpensive and it can be easily calibrated, so it works with a wide range of phase shifting interferometry algorithms. We show that our scheme is easily adaptable to algorithms that require either a low or high amount of interferograms.

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Phase shift formulas in uniaxial media: an application to waveplates

Cited by 46 publications

References 16 publications

Numerical modeling of nominal and stray waves in birefringent interferometers: application to large-field-of-view imaging Fourier transform spectrometers

Numerical modeling of nominal and stray waves in birefringent interferometers: application to large-field-of-view imaging Fourier transform spectrometers

A new calibration implementation for Doppler Coherence Imaging Spectroscopy

A birefringent polarization modulator: Application to phase measurement in conoscopic interference patterns

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