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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 8 — Apr. 21, 2003
  • pp: 944–951

Measuring properties of superposed light beams carrying different frequencies

Dong-Ik Lee and Chandrasekhar Roychoudhuri  »View Author Affiliations


Optics Express, Vol. 11, Issue 8, pp. 944-951 (2003)
http://dx.doi.org/10.1364/OE.11.000944


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Abstract

When two electromagnetic fields of different frequencies are physically superposed, the linear superposition equation implies that the fields readjust themselves into a new mean frequency whose common amplitude undulates at half their difference frequency. Neither of these mathematical frequencies are measurable quantities. We present a set of experiments underscoring that optical fields do not interfere with each other or modify themselves into a new frequency even when they are physically superposed. The multi-frequency interference effects are manifest only in materials with broad absorption bands as their constituent diploes attempt to respond collectively and simultaneously to all the optical frequencies of the superposed fields. Interference is causal and real since the dipoles carry out the operation of summation dictated by their quantum mechanical properties.

© 2003 Optical Society of America

OCIS Codes
(140.4050) Lasers and laser optics : Mode-locked lasers
(260.3160) Physical optics : Interference

ToC Category:
Research Papers

History
Original Manuscript: March 11, 2003
Revised Manuscript: April 15, 2003
Published: April 21, 2003

Citation
Dong-Ik Lee and Chandrasekhar Roychoudhuri, "Measuring properties of superposed light beams carrying different frequencies," Opt. Express 11, 944-951 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-8-944


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References

  1. P. A. M. Dirac, The principles of quantum mechanics, 4th ed., (Clarendon Press, Oxford, 1958).
  2. L. Mandel, �??Interpretation of Instantaneous Frequencies,�?? Am. J. Phys. 42, 840-846 (1974). [CrossRef]
  3. A. E. Siegman, Lasers, (University Science Books, 1986).
  4. A. T. Forrester et al, �??Photo-electric Mixing of Incoherent Light,�?? Phys. Rev. 99, 1691 (1955). [CrossRef]
  5. Lenore McMackin and David G. Voelz, �??Multiple wavelength heterodyne array interferometry,�?? Opt. Express 1, 332-337 (1997). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-1-11-332">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-1-11-332</a> [CrossRef] [PubMed]
  6. E. Gelmini, U. Minoni, and F. Docchio, �??Tunable, double-wavelength heterodyne detection interferometer for absolute-distance measurements,�?? Opt. Lett. 19, 213-215 (1994). [CrossRef] [PubMed]
  7. R. Dandliker, R. Thalmann, and D. Prongue, �??Two-wavelength laser interferometry using superheterodyne detection,�?? Opt. Lett. 13, 339-341 (1988). [CrossRef] [PubMed]
  8. P. Zemanek and J. Lazar, �??Use of the beat frequency between two modes for frequency stabilization of internal-mirror lasers,�?? Appl. Opt. 33, 6333-6339 (1994). [CrossRef] [PubMed]
  9. R. Balhorn, F. Lebowsky, and D. Ullrich, �??Beat frequency between two axial modes of a He-Ne laser with internal mirrors and its dependence on cavity Q,�?? Appl. Opt. 14, 2955-2959 (1975). [CrossRef] [PubMed]
  10. Katuo Seta and Tadanao O�??ishi, �??Distance meter utilizing the intermode beat of a He-Ne laser,�?? Appl. Opt. 29, 354-359 (1990). [CrossRef] [PubMed]
  11. Shuko Yokoyama, Tsutomu Araki, and Norihito Suzuki, �??Intermode beat stabilized laser with frequency pulling,�?? Appl. Opt. 33, 358-363 (1994). [CrossRef] [PubMed]
  12. B. E. A. Saleh & M. C. Teich, Fundamentals of Photonics, (John Wiley & Sons, 1991). [CrossRef]
  13. E. Hecht, Optics, 3rd ed., (Adision-Wesley, 1998).
  14. Jan Max Walter Kruger, �??External cavity diode laser (ECDL),�?? (2001), <a href="http://hubble.physik.uni-konstanz.de/jkrueger/thesis/node5.html">http://hubble.physik.uni-konstanz.de/jkrueger/thesis/node5.html</a>.
  15. Ole Trinks and Walter H. Beck, �??Application of a diode-laser absorption technique with the D2 transition of atomic Rb for hypersonic flow-field measurements,�?? Appl. Opt. 37, 7070-7075 (1998). [CrossRef]
  16. Albert A. Michelson, Studies in Optics, (University of Chicago Press, Phoenix Edition, 1968).
  17. A. G. Zajonc, The Quantum Challenge, (Jones & Bartlett, 1997)
  18. A. van der Merwe & A. Garuccio, Waves and Particles in Light & Matter, (Plenum, 1994).
  19. Max Tegmark, �??Parallel Universes�??, Scientific American, p.46, May 2003.
  20. C. Roychoudhuri, J. M. Siqueiros & E. Landgrave, �??Concepts of spectroscopy of pulsed light,�?? pp. 87-94, in Optics in Four Dimensions-1980, Ed. M. A. Machado & L. Narducci, American Institute of Physics, 1981.

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