Handbook of Nano-Optics and Nanophotonics pp 65-107 | Cite as
Optical Near-Field Interactions and Yukawa Potential
Reference work entry
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Abstract
The interactions between the matter and electromagnetic fields on a sub-wavelength scale are discussed from a microscopic viewpoint. On the basis of the projection operator method, effective interactions between nanometric subsystems, that is, optical near-field interactions mediated by massive virtual photons, are derived from a microscopic multipolar Hamiltonian. It is shown that the major part of the effective interaction exerted is the Yukawa potential.
Keywords
Yukawa Potential Sample Sphere Differential Scattering Cross Section Bare Interaction Effective Interaction Potential
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References
- 1.J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, New York, 1999)MATHGoogle Scholar
- 2.J.P. Fillard, Near Field Optics and Nanoscopy (World Scientific, Singapore, 1996)CrossRefGoogle Scholar
- 3.M.A. Paesler, P.J. Moyer, Near-Field Optics (Wiley, New York, 1996)Google Scholar
- 4.K. Cho, Prog. Theor. Phys. Suppl. 106, 225 (1991)ADSCrossRefGoogle Scholar
- 5.H. Ishihara, K. Cho, Phys. Rev. B 48, 7960 (1993)ADSCrossRefGoogle Scholar
- 6.K. Cho, Y. Ohfuti, K. Arima, Surf. Sci. 363, 378 (1996)ADSCrossRefGoogle Scholar
- 7.M. Ohtsu, H. Hori, Near-Field Nano-Optics (Kluwer Academic/Plenum Publishers, New York, 1999), pp. 281–296CrossRefGoogle Scholar
- 8.H. Hori, in Near Field Optics, ed. by D.W. Pohl, D. Courjon (Kluwer Academic, Dordrecht, 1993), pp. 105–114Google Scholar
- 9.K. Kobayashi, M. Ohtsu, in Near-Field Nano/Atom Optics and Technology, ed. by M. Ohtsu (Springer, Tokyo/Berlin/Heidelberg, 1998), pp. 288–290Google Scholar
- 10.J.J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading 1967)Google Scholar
- 11.U. Weiss, Quantum Dissipative Systems, 2nd edn. (World Scientific, Singapore 1999)CrossRefMATHGoogle Scholar
- 12.P. Fulde, Electron Correlations in Molecules and Solids, 2nd edn. (Springer, Berlin/Heidelberg/New York, 1993)CrossRefGoogle Scholar
- 13.H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics (Springer, Berlin/Heidelberg/New York, 1982)Google Scholar
- 14.F. Haake, Statistical Treatment of Open Systems by Generalized Master Equations (Springer, Berlin/Heidelberg/New York, 1973)Google Scholar
- 15.C.R. Willis, R.H. Picard, Phys. Rev. A 9, 1343 (1974)MathSciNetADSCrossRefGoogle Scholar
- 16.J. Rau, B. Muller, Phys. Rep. 272, 1 (1996)MathSciNetADSCrossRefGoogle Scholar
- 17.H. Hyuga, H. Ohtsubo, Nucl. Phys. A294, 348 (1978)ADSCrossRefGoogle Scholar
- 18.K. Kobayashi, M. Ohtsu, J. Microsc. 194, 249 (1999)CrossRefGoogle Scholar
- 19.K. Kobayashi, S. Sangu, H. Ito, M. Ohtsu, Phys. Rev. A 63, 013806 (2001)ADSCrossRefGoogle Scholar
- 20.A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971)Google Scholar
- 21.C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Photons and Atoms (Wiley, New York, 1989)Google Scholar
- 22.C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Atom–Photon Interactions (Wiley, New York, 1992)Google Scholar
- 23.D.P. Craig, T. Thirunamachandran, Molecular Quantum Electrodynamics (Dover, New York, 1998)Google Scholar
- 24.M. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997)CrossRefGoogle Scholar
- 25.M. Kaku, Quantum Field Theory (Oxford University Press, Oxford, 1993), pp. 295–320Google Scholar
- 26.S. Weinberg, The Quantum Theory of Fields I, II, and III (Cambridge University Press, Cambridge, 1995)CrossRefGoogle Scholar
- 27.H. Haken, Quantum Field Theory of Solids (North-Holland, Amsterdam, 1983)Google Scholar
- 28.J.J. Hopfield, Phys. Rev. 112, 1555 (1958)ADSCrossRefMATHGoogle Scholar
- 29.K. Cho, J. Phys. Soc. Jpn. 55, 4113 (1986)ADSCrossRefGoogle Scholar
- 30.C. Kittel, Quantum Theory of Solids (Wiley, New York, 1972)Google Scholar
- 31.D. Pines, Elementary Excitations in Solids (Perseus Books, Reading, 1999)Google Scholar
- 32.P.W. Anderson, Concepts in Solids (World Scientific, Singapore, 1997)CrossRefGoogle Scholar
- 33.C. Cohen-Tannoudji, Atoms in Electromagnetic Fields (World Scientific, Singapore, 1994)Google Scholar
- 34.M. Ohtsu, K. Kobayashi, H. Ito, G.-H. Lee, Proc. IEEE 88, 1499 (2000)CrossRefGoogle Scholar
- 35.D.M. Eigler, E.K. Schweizer, Nature 344, 524 (1990)ADSCrossRefGoogle Scholar
- 36.P. Zeppenfeld et al., Ultramicroscopy 42–44, 128 (1992)CrossRefGoogle Scholar
- 37.U. Staufer, in Scanning Tunneling Microscopy II ed. by R. Wiesendanger, H.-J. Güntherodt (Springer, Berlin/Heidelberg/New York, 1992), pp. 273–302Google Scholar
- 38.J. Ye, D.W. Vernooy, H.J. Kimble, Phys. Rev. Lett. 83, 4987 (1999)ADSCrossRefGoogle Scholar
- 39.M. Ohtsu, S. Jiang, T. Pangaribuan, M. Kozuma, in Near Field Optics ed. by D.W. Pohl, D. Courjon (Kluwer Academic, Dordrecht, 1993), pp. 131–139Google Scholar
- 40.J.P. Dowling, J. Gea-Banacloche, in Advances in Atomic, Molecular, and Optical Physics 37, ed. by B. Bederson, H. Walther (Academic, San Diego, 1996), pp. 1–94Google Scholar
- 41.V.V. Klimov, V.S. Letokhov, Opt. Commun. 121, 130 (1995)ADSCrossRefGoogle Scholar
- 42.H. Ito, K. Otake, M. Ohtsu, Proc. SPIE 3467, 250 (1998)ADSCrossRefGoogle Scholar
- 43.H. Ito, A. Takamizawa, H. Tanioka, M. Ohtsu, Proc. SPIE 3791, 2 (1999)ADSCrossRefGoogle Scholar
- 44.V. Klimov, V.S. Letokhov, M. Ducloy, Eur. Phys. J. D 5, 345 (1999)ADSGoogle Scholar
- 45.D.W. Vernooy, H.J. Kimble, Phys. Rev. A 55, 1239 (1997)ADSCrossRefGoogle Scholar
- 46.V.V. Klimov, Y.A. Perventsev, Quantum Electron. 29, 847 (1999)ADSCrossRefGoogle Scholar
- 47.For example, Laser Cooling and Trapping of Atoms ed. by S. Chu, C. Wieman, J. Opt. Soc. Am. B 6, 2020 (1989)Google Scholar
- 48.K. Kobayashi, S. Sangu, H. Ito, M. Ohtsu, in Near-Field Optics: Principles and Applications, ed. by X. Zhu, M. Ohtsu (World Scientific, Singapore, 2000), pp. 82–88CrossRefGoogle Scholar
- 49.S. Sangu, K. Kobayashi, M. Ohtsu, J. Microsc. 202, 279 (2001)MathSciNetCrossRefGoogle Scholar
- 50.K. Jang, W. Jhe, Opt. Lett. 21, 236 (1996)ADSCrossRefGoogle Scholar
- 51.T. Saiki, M. Ohtsu, in Near-Field Nano/Atom Optics and Technology, ed. by M. Ohtsu (Springer, Tokyo/Berlin/Heidelberg, 1998), pp. 15–29Google Scholar
- 52.Y. Leviatan, J. Appl. Phys. 60, 1577 (1986)ADSCrossRefGoogle Scholar
- 53.A. Roberts, J. Appl. Phys. 70, 4045 (1991)ADSCrossRefGoogle Scholar
- 54.L. Novotny, D.W. Pohl, P. Regli, J. Opt. Soc. Am. A 11, 1768 (1994)ADSCrossRefGoogle Scholar
- 55.For example, Cavity Quantum Electrodynamics, ed. by P.R. Berman (Academic, San Diego, 1994)Google Scholar
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