Collective modes of interacting dielectric spheres

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 24, 2003, Pages

  Arias, Rodrigo ^a   Mills, D L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIELECTRIC CONSTANT; ELECTRIC FIELD; ELECTRICITY; MOLECULAR INTERACTION; NANOPARTICLE; PARTICLE SIZE; PERIODICITY; SPACE; SURFACE PROPERTY; THEORY;

EID: 1042265102     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.245420     Document Type: Article

References (12)

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2. D. Felbacq, G. Tayeb, and D. Maystre, J. Opt. Soc. Am. A 11, 2526 (1994).
3. R. Arias and D.L. Mills, Phys. Rev. B 67, 094423 (2003).
4. Tables of Integrals, Series and Products, edited by I.S. Gradsteyn, and I.M. Rhyzik (Academic Press, New York, 1965), see identity 2 in Sec. 8.53, p. 979 therein.
5. J. Liu, J.C. Barmard, K. Seeger, and Richard E. Palmer, Appl. Phys. Lett. 73, 2030 (1998). In this reference, the surface on which the spheres are deposited is Si; Impressive linear arrays of Au nanospheres in graphite have been realized recently, J.C. Hemminger (private communication).
6. Page 331 of Handbook of Mathematical Functions, Nat. Bur. Stand. Appl. Math. Ser. 55, edited by M. Abramowitz and I.A. Stegun (U. S. GPO, Washington, D.C., 1964).
7. J.D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975). Eq. (3.53), p. 99.
8. M.J. Caola, J. Phys. A 11, L23 (1978).
9. S. Chakrabarti and D.P. Dewangan, J. Phys. B 28, L769 (1995).
10. The formalism here is easily extended to two parallel linear arrays of dissimilar spheres. To discuss the collective excitations of spheres located above a substrate with dielectric constant ε(ω), the sphere at the origin is supposed to be driven by the potentials generated by the real spheres, as described by Eq. (5), and one supplements this by the potentials generated by the array of image spheres. One forms the potential for the image of sphere by reflecting the potential of the original sphere in the plane of the substrate, then multiplying it by the factor − [ε(ω) − 1]/[ε(ω) + 1].
11. Nonlinear Optics; Basic Concepts, 2nd ed. edited by D. L. Mills (Springer-Verlag, Heidelberg, 1999), see the discussion in Sec. 8.3.1.
12. H. Ibach and D. L. Mills, Electron Energy Loss and Surface Vibrations (Academic Press, San Francisco, 1982), see the discussion in Sec. 3.4.4 therein.