Multiple-beam localized fringes: part I. - Intensity distribution and localization

Brossel, J.

doi:10.1088/0959-5309/59/2/306

Cited by 67 publications

(20 citation statements)

References 3 publications

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“…The intensity profile differs from the Airy-like function produced by a Fabry-Perot interferometer: the Fizeau fringes are asymmetric and display secondary maxima, and the position of the maxima of the main peaks is displaced from the position where 2h = pλ where p is the integer specifying the order of interference. 4,9,10 In this paper, we extend the analysis of the fringe profile in previous papers 4,9,10 to the case of an imperfectly collimated beam. Because α is typically several milliradians for our setup, cos α ≈ 1, and therefore, the plate separations corresponding to the maximum of the fringes are given to a good approximation by 7…”

Section: A Mathematical Description Of the Fizeau Interferometermentioning

confidence: 71%

“…The effect of the angle α on the line shape has been considered in previous work, 4,9,10 while the effect of the angle β has not been analyzed previously. The previous papers were mostly relevant to the application of the Fizeau interferometer to the microscopic study of the topography of surfaces, where θ is much greater than α and β, so that tan θ is much greater than cos β.…”

Section: A Mathematical Description Of the Fizeau Interferometermentioning

confidence: 99%

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Fizeau interferometer system for fast high resolution studies of spectral line shapes

Novák

Falconer

Sanginés

et al. 2011

Review of Scientific Instruments

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A monochromator∕Fizeau interferometer∕intensified CCD camera system is described that was developed for the measurement of the shape of spectral lines that are rapidly time varying. The most important operating parameter that determines the performance of the instrument is the size of the entrance aperture as this determines both the light throughput and the effective interferometer wavelength resolution. This paper discusses, both theoretically and experimentally, the effect of the finite source area on the instrumental resolution to assist in optimizing the choice of this parameter. A second effect that often produces a practical limit to the quality of the spectra is drift of the interferometer plates. Measurements of the shapes of spectral lines of ions and atoms ejected from the cathode spot of continuous and pulsed cathodic arcs are presented to demonstrate the utility of this instrument.

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Section: A Mathematical Description Of the Fizeau Interferometermentioning

confidence: 71%

Section: A Mathematical Description Of the Fizeau Interferometermentioning

confidence: 99%

Fizeau interferometer system for fast high resolution studies of spectral line shapes

Novák

Falconer

Sanginés

et al. 2011

Review of Scientific Instruments

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“…An LVOF can, therefore, be defined as a Fizeau interferometer illuminated with a broadband light source for spectroscopic purposes. The multiple beam interference of Fizeau wedges was theoretically studied by Brossel [40]. The wedge material is assumed to have a refractive index n′ surrounded with a medium of refractive index n and with mirror surfaces, of which one is inclined at an angleα .…”

Section: Fizeau Interferometermentioning

confidence: 99%

Compact gas cell integrated with a linear variable optical filter

2016

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A miniaturized methane (CH 4 ) sensor based on nondispersive infrared absorption is realized in MEMS technology. A high level of functional integration is achieved by using the resonance cavity of a linear variable optical filter (LVOF) also as a gas absorption cell. For effective detection of methane at λ = 3.39 µm, an absorption path length of at least 5 mm is required. Miniaturization therefore necessitates the use of highly reflective mirrors and operation at the 15th-order mode with a resonator cavity length of 25.4 µm. The conventional description of the LVOF in terms of the Fabry-Perot resonator is inadequate for analyzing the optical performance at such demanding boundary conditions. We demonstrate that an approach employing the Fizeau resonator is more appropriate. Furthermore, the design and fabrication in a CMOS-compatible microfabrication technology are described and operation as a methane sensor is demonstrated. 1-3), 191-197 (2000). 604-606 (1990). 42. T. T. Kajava, H. M. Lauranto, and R. R. E. Salomaa, "Fizeau interferometer in spectral measurements," J. Opt. ©2016 Optical Society of AmericaSoc. Am. B 10(11), 1980-1989 (1993). 43. P. Langenbeck, "Fizeau interferometer-fringe sharpening," Appl. Opt. 9(9), 2053-2058 (1970) Characteristics," Appl. Opt. 6(8), 1343-1351 (1967). 49. J. Altmann, R. Baumgart, and C. Weitkamp, "Two-mirror multipass absorption cell," Appl. Opt. 20(6), 995-999 (1981

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“…By reflection at PiM 1 and PM 2 respectively, this will give rise to two wavefronts A and B which in their turn make angles (fi +2x) and (fl-2a) with PP 1 . Then following Brossel [10] we can write the path difference between the two wavefronts A and B at a point x from the centre of the wedge on PP 1 as: DB -DA = (x + to/2 tan oc){sin ( + 2 ) -sin (I-2c)}, when t/tan oc is the length PP 1 , of the wedge. The two wavefronts A and B are reflected back without any change of inclination by the combination of the lens L, and the plane mirror M at its focus.…”

Section: Path Difference Between the Double-passed Wavefrontsmentioning

confidence: 99%