Abstract
The noise characteristic of available laser sources limits the sensitivity of many types of nonlinear spectroscopy. We show how to maximize the sensitivity by optimizing the strength of a local oscillator wave in a heterodyne detection scheme without altering the amplitude of the wave being detected. The intensity profile of the optimum local oscillator closely matches that of the incident probe wave, but the optimum intensity is much less than that of the probe under realistic conditions. A general signal-to-noise analysis applicable to all nonlinear spectroscopy techniques is presented along with specific applications to coherent Raman spectroscopy, two-photon absorption, saturation spectroscopy, and optical coherent transient techniques. A simple optimization procedure employing polarization selection rules is described. Detailed calculations are performed for the case of TEM00 waves interacting via a third-order nonlinear susceptibility and for the case where the sample is simultaneously probed at many different frequency combinations.
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V.S. Letokhov, V.P. Chebotayev:Nonlinear Laser Spectroscopy, Springer Series in Optical Sciences, Vol. 4 (Springer, Berlin, Heidelberg, New York 1977)
A.B. Harvey (ed.):Chemical Applications of Nonlinear Spectroscopy (Academic Press, New York 1978)
R.G. Brewer: InFrontiers of Laser Spectroscopy, ed. by R. Balian, S. Haroche, and S. Liberman (North Holland, Amsterdam 1978) Vol. I, Chap. 4, pp. 343–398
W. Kaiser, C.G.B. Garret: Phys. Rev. Lett.7, 229 (1961)
W.M. Tolles, R.D. Turner: Appl. Spectrosc.31, 96–103 (1977)
A. Owyoung: IEEE J. QE-14, 192 and 202 (1978)
J.J. Song, G.L. Eesley, M.D. Levenson: Appl. Phys. Lett29, 567–569 (1976)
W.J. Jones, B.P. Stoicheff: Phys. Rev. Lett.13, 657 (1964)
C. Wieman, T.W. Hänsch: Phys. Rev. Lett.36, 1170 (1976)
G.L. Eesley, M.D. Levenson, W.M. Tolles: IEEE J. QE-14, 45–48 (1978)
F.V. Kowalski, W.T. Hill, A.L. Schawlow: Opt. Lett.2, 112–114 (1978)
P.F. Liao, G.C. Bjorklund: Phys. Rev. Lett.36, 584 (1976)
P.D. Maker, R.W. Terhune: Phys. Rev.137A, 801 (1965)
D. Marcuse:Engineering Quantum Electrodynamics (Harcourt Brace and World, New York 1971) Chap. 6
W.B. Roh, P.W. Schreiber, J.E.P. Taran: Appl. Phys. Lett.29, 174–176 (1976)
C. Delsart, J.C. Keller: InLaser Spectroscopy III, ed. by J.L. Hall and J.L. Carlsten, Springer Series in Optical Sciences, Vol. 7 (Springer, Berlin, Heidelberg, New York 1977) pp. 154–159
H. Lotem, R.T. Lunch Jr., N. Bloembergen: Phys. Rev. A14, 1748 (1976)
R.H. Kingston:Detection of Optical and Infrared Radiation, Springer Series in Optical Sciences, Vol. 10 (Springer, Berlin, Heidelberg, New York 1978)
D. Wolf (ed.):Noise in Physical Systems, Springer Series in Electrophysics, Vol. 2 (Springer, Berlin, Heidelberg, New York 1978)
A. Yariv:Introduction to Optical Electronics (Holt Rinehart and Winston, New York 1971) Chap. 11
G.L. Eesley: Ph.D. Thesis, University of Southern California (1978)
J.W. Goodman: ManuscriptStatistical Optics, “Noise in Photographic Detection” (1976)
R.J. Keyes (ed.):Optical and Infrared Detectors, topics Appl. Phys. 19 (Springer, Berlin, Heidelberg, New York 1977)
Noise-equivalent power (NEP) is defined as the optical power required to produce a detector response equivalent to η of (15) and normalized for band width Δν; forK=1, the units of NEP are watts/√Hz.
E.H. Armstrong: I.R.E.9, 3 (1921)
R.G. Brewer, A.Z. Genack: Phys. Rev. Lett.36, 959 (1976)
R.G. Brewer: private communication
D. Heiman, R.W. Hellwarth, M.D. Levenson, G. Martin: Phys. Rev. Lett.36, 189–192 (1976)
N. Bloembergen (ed.):Nonlinear Spectroscopy (North Holland, Amsterdam 1977) Chap. 1
N. Bloembergen, M.D. Levenson: InHigh Resolution Laser Spectroscopy, ed. by K. Shimoda, Topics Appl. Phys.13 (Springer, Berlin, Heidelberg, New York 1976) pp. 315–364
D. Grischkowsky, M.M. Loy, P.F. Liao: Phys. Rev. A12, 2544 (1975)
B. Cagnac, G. Grynberg, F. Biraben: J. Phys.34, 66 (1973)
V.P. Chebotayev, V.S. Letokhov: InProgress in Quantum Electronics, ed. by J.H.Sanders and S.Stenholm (Pergamon Press, London 1976) Vol. IV, Pt. 2, pp. 111–206
Chr.Flytzanis, N.Bloembergen: InProgress in Quantum Electronics, ed. by J.H.Sanders and S.Stenholm (Pergamon Press, London 1976) Vol. IV, Pt. 2, pp. 271–300
J.W.Nibler, G.V.Knighten: InRaman Spectroscopy of Gases and Liquids, ed. by A.Weber, Topics in Current Physics11 (Springer, Berlin, Heidelberg, New York 1977) Ch. 7
R.W.Hellwarth: InProgress in Quantum Electronics, ed. by J.H.Sanders and S.Stenholm (Pergamon Press, London 1976) vol. V, Pt. 1, pp. 1–68
T.W.Hänsch, P.Toschek: Z. Physik236, 213 (1970)
T.W.Hänsch: InNonlinear Spectroscopy, ed. by N.Bloembergen (North Holland, Amsterdam 1977) Chap. 2
C.Bordé, G.Camy, B.Decomps, L.Pottier: In Colloques International du CNRS, No. 217 (1974) p. 231
A.Yariv:Quantum Electronics (Wiley, New York 1975) App. 1
J.J.Song, J.H.Lee, M.D.Levenson: Phys. Rev. A17, 1439–1447 (1978)
J.L.Hall: private communication
R.T.Lynch,Jr.: Ph.D. Thesis, Harvard University (1977) (unpublished)
S.D.Kramer, N.Bloembergen: Phys. Rev. B14, 4654–4669 (1976)
R.T.Hodgson, P.P.Sorokin, J.J.Wynne: Phys. Rev. Lett.32, 343 (1974)
M.M.T.Loy: Phys. Rev. Lett.36, 1454–1457 (1976)
P.F.Liao, J.E.Bjorkholm, J.P.Gordon:Phys. Rev. Lett.39, 18 (1977)
P.F.Liao, N.P.Economou, R.R.Freeman: Phys. Rev. Lett.39, 1473 (1977)
R.G.Devoe, R.G.Brewer: Phys. Rev.40, 862 (1978)
R.G.Brewer, R.L.Shoemaker: Phys. Rev. Lett.27, 631 (1971)
P.D.Maker, R.W.Terhune, C.M.Savage: Phys. Rev. Lett.12, 507–509 (1964)
U.Fano, G.Racah:Irreduceable Tensor Sets (Academic Press, New York 1951)
G.C.Bjorklund: IEEE J QE-11, 287–296 (1975)
G.D.Boyd, J.P.Gordon: Bell System Tech. J.40, 489–508 (1961)
G.I.Kachen, W.H.Lowdermilk: Phys. Rev. A14, 1472–1474 (1976) and16, 1657–1664 (1977)
For example, the Meret Corp. MDA 7708, Silicon PIN Diode with integral trans resistance amplifier. Similar devices are now being developed for use in fiber optic applications. See also [Ref. 20b, Chap. 6]
OMA catalog, Princeton Applied Research Corp. Princeton, New Jersey (1975)
H.Z.Cummings, H.B.Swinney: InProgress in Optics (North Holland, Amsterdam 1970) Vol. VIII, Chap. 3
A.Papoulis:Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York 1965) Chap. 14
L.Mandel, E.Wolf: Rev. Mod. Phys.37, 231 (1965)
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Supported by the National Science Foundation and Office of Naval Research.
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Levenson, M.D., Eesley, G.L. Polarization selective optical heterodyne detection for dramatically improved sensitivity in laser spectroscopy. Appl. Phys. 19, 1–17 (1979). https://doi.org/10.1007/BF00900531
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DOI: https://doi.org/10.1007/BF00900531