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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 23, Iss. 1 — Jan. 1, 1998
  • pp: 16–18

Do evanescent waves contribute to the far field?

Emil Wolf and John T. Foley  »View Author Affiliations


Optics Letters, Vol. 23, Issue 1, pp. 16-18 (1998)
http://dx.doi.org/10.1364/OL.23.000016


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Abstract

Evanescent waves have become of considerable interest in recent years because of developments in near-field optics. Claims have been made that such waves contribute to the radiation fields of sources and to the far fields of scatterers. We show, by considering a spherical scalar wave and a linear electric dipole field, that these claims are misleading and that such contributions are without physical consequences. Our conclusions apply to a much broader class of fields than those considered in this Letter.

© 1998 Optical Society of America

OCIS Codes
(350.7420) Other areas of optics : Waves

Citation
Emil Wolf and John T. Foley, "Do evanescent waves contribute to the far field?," Opt. Lett. 23, 16-18 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-1-16


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References

  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
  2. See, for example, M. A. Paesler and P. J. Moyer, Near-Field Optics (Wiley, New York, 1996).
  3. In this connection see E. Wolf, in Trends in Optics, A. Consortini, ed. (Academic, San Diego, Calif., 1996), pp. 83–110, especially pp. 90 91.
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  11. The traditional definition of the Stokes phenomenon has been generalized by M. Berry. See, for example, M. Berry, in Asymptotics beyond All Orders, H. Segur, T. Tanvee, H. Levine, eds. (Plenum, New York, 1991), p. 1.
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  13. Asymptotic approximation 9 follows at once from Eq. (3.3–95) of Ref. c1, with the substitutions k0=k, a(p, q)=(ik/2p) /m, m=z/r, appropriate to integral representation 7a of fh(r).
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  16. See Ref. c14, Eqs. 8, 10, and 12, for the case U(p, q, k)=1.
  17. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1993), Sec. 2.2.3, Eq. (64). That equation differs from Eq. 14 of the present Letter by a factor of 1/4πε0 because of a different choice of units.

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