Abstract
As seen in Chaps. 2 and 5, expanding the effective optical path length or the number of light interactions with the object under study increases the sensitivity to the optical properties of the object. Therefore, it is prevalent to desire as many interactions as possible when looking for the highest sensitivity to optical losses. However, if the object’s refractive index n is different from that of its surroundings (see relations (1.102), (1.103)), the losses at two boundaries can overcome the loss being measured by their uncertainty.
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References
M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 6th edn. (Pergamon, Oxford, 1984); 7th ed. (Cambridge University Press, Cambridge, 2003)
D.M. Gates, C.C. Shaw, D. Beaumont, Infrared reflectance of evaporated metal films. J. Opt. Soc. Am. 48(2), 88–89 (1958)
L.G. Schultz, F.R. Tangherlini, Optical constants of silver, gold, copper, and aluminum. II. The index of refraction n. J. Opt. Soc. Am. 44(5), 362–368 (1954)
V.I. Kuprenuk, V.E. Sherstobitov, A simple method of reflectance measurements for metal mirrors at wavelength λ = 10.6 μm. J. Appl. Spectrosc 25(5), 926–928 (1974)
D. Kelsall, Absolute specular reflectance measurements of highly reflecting optical coatings at 10.6 μm. Appl. Opt. 9(1), 85–90 (1970)
S. Chandra, R.S. Rohde, Ultrasensitive multiple-reflections interferometer. Appl. Opt. 21(9), 1533–1535 (1982)
H. Hanada, Characteristics of a Fabry-Perot interferometer with two retroreflectors and two beam splitters. J. Opt. Soc. Am. A 9(12), 2167–2172 (1992)
A.L. Vitushkin, L.F. Vitushkin, Design of a multipass optical cell based on the use of shifted corner cubes and right-angle prisms. Appl. Opt. 37(9), 162–166 (1998)
J.U. White, Long optical path of large aperture. J. Opt. Soc. Am. 32(5), 285–288 (1942)
T.H. Edwards, Multiple-traverse absorption cell design. J. Opt. Soc. Am. 51(1), 98–102 (1961)
G.P. Semenova, V.G. Vorob’ev, Yu.D. Pushkin, Spectrophotometric attachment for absolute measurements of high specular reflectances. J. Opt. Technol 43(4), 78–79 (1976)
O. Arnon, P. Baumeister, Versatile high-precision multiple-pass reflectometer. Appl. Opt. 17(18), 2913–2916 (1978)
R.P. Blickensderfer, G.E. Ewing, R. Leonard, A long path, low temperature cell. Appl. Opt. 7(11), 2214–2217 (1968)
D. Horn, G.C. Pimentel, 2.5-km Low-temperature multiple-reflection cell. Appl. Opt. 10(8), 1892–1898 (1971)
P.L. Hanst, Spectroscopic methods for air pollution measurement, in Advances in Environmental Science and Technology, ed. by J.N. Pitts, R.L. Metcalf (Wiley & Sons, New York, 1971), p. 91
E.O. Schulz-DuBois, Generation of square lattice of focal points by a modified White cell. Appl. Opt. 12(7), 1391–1393 (1973)
D.M. Bakalyar, J.V. James, C.C. Wang, Absorption technique for OH measurements and calibration. Appl. Opt. 21(16), 2901–2905 (1982)
P.L. Hanst, A.S. Lefohn, B.W. Gay Jr., Detection of atmospheric pollutants at parts-per-billion levels by infrared spectroscopy. Appl. Spectrosc. 27(3), 188–198 (1973)
P.L. Hanst, Air pollution measurement by Fourier transform spectroscopy. Appl. Opt. 17(9), 1360–1366 (1978)
H.J. Bernstein, J. Herzberg, Rotation-vibration spectra of diatomic and simple polyatomic molecules with long absorbing paths. J. Chem. Phys. 16(1), 30–39 (1948)
W.R. Watkins, Path differencing: an improvement to multipass absorption cell measurements. Appl. Opt. 15(1), 16–19 (1976)
J.U. White, Very long optical paths in air. J. Opt. Soc. Am. 66(5), 411–416 (1976)
S.M. Chernin, E.G. Barskaya, Optical multipass matrix systems. Appl. Opt. 30(1), 51–58 (1991)
H.D. Smith, J.K. Marshall, Method for obtaining long optical paths. J. Opt. Soc. Am. 30(8), 338–342 (1940)
S.M. Chernin, Multipass V-shaped system with a large relative aperture: stages of development. Appl. Opt. 34(34), 7857–7863 (1995)
K. Schäfer, K. Brockmann, J. Heland, P. Wiesen, C. Jahn, O. Legras, Multipass open-path Fourier-transform infrared measurements for nonintrusive monitoring of gas turbine exhaust composition. Appl. Opt. 44(11), 2189–2201 (2005)
D.C. Tobin, L.L. Strow, W.J. Lafferty, W.B. Olson, Experimental investigation of the self- and N2-broadened continuum within the ν2 band of water vapor. Appl. Opt. 35(24), 4724–4734 (1996)
P. Hannan, White cell design considerations. Opt. Eng. 28(11), 1180–1184 (1989)
J.-F. Doussin, D. Ritz, P. Carlier, Multiple-pass cell for very-long-path infrared spectrometry. Appl. Opt. 38(19), 4145–4150 (1999)
L. Grassi, R. Guzzi, Theoretical and practical consideration of the construction of a zero-geometric-loss multiple-pass cell based on the use of monolithic multiple-face retroreflectors. Appl. Opt. 40(33), 6062–6071 (2001)
S.M. Chernin, Promising version of the three-objective multipass matrix system. Opt. Express 10(2), 104–107 (2002)
D.R. Glowacki, A. Goddard, P.W. Seakins, Design and performance of a throughput-matched, zero-geometric-loss, modified three objective multipass matrix system for FTIR spectrometry. Appl. Opt. 46(32), 7872–7883 (2007)
D. Herriott, H. Kogelnik, R. Kompfner, Off-axis parts in spherical mirror interferometers. Appl. Opt. 3(4), 523–526 (1964)
D.R. Herriott, H.J. Schulte, Folded optical delay lines. Appl. Opt. 4(8), 883–889 (1965)
J. Altman, R. Baumgart, C. Weitkamp, Two-mirror multipass absorption cell. Appl. Opt. 20(6), 995–999 (1981)
P.L. Kebabian, Off-axis cavity absorption cell, U.S. Patent 5,291,265, 1 Mar 1994
J.B. McManus, P.L. Kebabian, M.S. Zahniser, Astigmatic mirror multipass absorption cells for long-path-length spectroscopy. Appl. Opt. 34(18), 3336–3348 (1995)
L.-Y. Hao, S. Qiang, G.-R. Wu, L. Qi, D. Feng, Q.-S. Zhu, Cylindrical mirror multipass Lissajous system for laser photoacoustic spectroscopy. Rev. Sci. Instrum. 73(5), 2079–2085 (2002)
J.A. Silver, Simple dense-pattern optical multipass cells. Appl. Opt. 44(31), 6545–6556 (2005); Near re-entrant dense pattern optical multipass cell, U.S. Patent Number 7,307,716, 11 Dec 2007
C. Dyroff, A. Zahn, W. Freude, B. Jänker, P. Werle, Multipass cell design for Stark-modulation spectroscopy. Appl. Opt. 46(19), 4000–4007 (2007)
G.S. Engel, E.J. Moyer, Precise multipass Herriott cell design: derivation of controlling design equations. Opt. Lett. 32(6), 704–706 (2007)
H.L. Welsh, E.J. Stansbury, J. Romanko, T. Feldman, Raman spectroscopy of gases. J. Opt. Soc. Am. 45(5), 338–343 (1955)
A. Weber, S.P.S. Porto, L.E. Cheesman, J.J. Barrett, High-resolution Raman spectroscopy of gases with cw-laser excitation. J. Opt. Soc. Am. 57(1), 19–28 (1967)
J.J. Barrett, N.I. Adams, Laser-excited rotation-vibration Raman scattering in ultra-small gas samples. J. Opt. Soc. Am. 58(3), 311–319 (1968)
R.A. Hill, D.L. Hartley, Focused, multiple-pass cell for Raman scattering. Appl. Opt. 13(1), 186–192 (1974)
R.A. Hill, A.J. Mulac, C.E. Hackett, Retroreflecting multipass cell for Raman scattering. Appl. Opt. 16(7), 2004–2006 (1977)
A.J. Mulac, W.L. Flower, R.A. Hill, D.P. Aeschliman, Pulsed spontaneous Raman scattering technique for luminous environments. Appl. Opt. 17(17), 2695–2699 (1978)
G. Müller, E. Weimer, Multipass-systeme für die Raman-spectroscopie. Optic 56(1), 1–19 (1980)
See reference [6.43]
W.R. Trutna, R.L. Byer, Multiple-pass Raman gain cell. Appl. Opt. 19(2), 301–312 (1980)
M.A. Bukshtab, Configurable Tunable Resonant Multipass Cell for Scattering and Absorption Measurements, 2007
G.A. Waldherr, H. Lin, Gain analysis of an optical multipass cell for spectroscopic measurements in luminous environments. Appl. Opt. 47(7), 901–907 (2008)
R. Viola, High-luminosity multipass cell for infrared imaging spectroscopy. Appl. Opt. 45(12), 2805–2809 (2006)
J. Reid, M. El-Sherbiny, B.K. Garside, E.A. Ballik, Sensitivity limits of a tunable diode laser spectrometer, with application to the detection of NO2 at the 100-ppt level. Appl. Opt. 19(19), 3349–3354 (1980)
D.T. Cassidy, J. Reid, Harmonic detection with tunable diode lasers: two-tone modulation. Appl. Phys. B 29(4), 279–285 (1982)
P. Werle, B. Jänker, High-frequency-modulation spectroscopy: phase noise and refractive index fluctuations in optical multipass cells. Opt. Eng. 35(7), 2051–2057 (1996)
C.R. Webster, Brewster-plate spoiler: a novel method for reducing the amplitude of interference fringes that limit tunable-laser absorption sensitivities. J. Opt. Soc. Am. B 2(9), 1464–1470 (1985)
J.A. Silver, A.C. Stanton, Optical interference fringe reduction in laser absorption experiments. Appl. Opt. 27(10), 1914–1916 (1988)
A. Fried, J.R. Drummond, B. Henry, J. Fox, Reduction of interference fringes in small multipass absorption cells by pressure modulation. Appl. Opt. 29(7), 900–902 (1990)
J.B. McManus, P.L. Kebabian, Narrow optical interference fringes for certain setup conditions in multipass absorption cells of the Herriott type. Appl. Opt. 29(7), 898–900 (1990)
H.C. Sun, E.A. Whittaker, Novel etalon fringe rejection technique for laser absorption spectroscopy. Appl. Opt. 31(24), 4998–5002 (1992)
D.E. Cooper, J.P. Watjen, Two-tone optical heterodyne spectroscopy with a tunable lead-salt diode laser. Opt. Lett. 11(10), 606–608 (1986); D.E. Cooper, C.B. Carlisle, High-sensitivity FM spectroscopy with a lead-salt diode laser. Opt. Lett. 13(9), 719–721 (1988)
G. Durry, T. Danguy, I. Pouchet, Open multipass absorption cell for in situ monitoring of stratospheric trace gas with telecommunication laser diodes. Appl. Opt. 41(3), 424–433 (2002)
S. Hocquet, D. Penninckx, E. Bordenave, C. Gouedard, Y. Jaouen, FM-to-AM conversion in high-power lasers. Appl. Opt. 47(18), 3338–3349 (2008)
X. Dangpeng, W. Jianjun, L. Mingzhong, L. Honghuan, Z. Rui, D. Ying, D. Qinghua, H. Xiaodong, W. Mingzhe, D. Lei, T. Jun, Weak etalon effect in wave plates can introduce significant FM-to-AM modulations in complex laser systems. Opt. Express 18(7), 6621–6627 (2010)
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Bukshtab, M. (2012). Systems of Multiple Reflections. In: Applied Photometry, Radiometry, and Measurements of Optical Losses. Springer Series in Optical Sciences, vol 163. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2165-4_6
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