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Theoretical Treatment of Electric and Magnetic Multipole Radiation Near a Planar Dielectric Surface Based on Angular Spectrum Representation of Vector Field

  • OPTICAL SYSTEMS AND TECHNOLOGIES
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Abstract

We have developed an analytic treatment of light emission properties of electric and magnetic multipoles near a planar dielectric surface, using angular spectrum representation of vector spherical waves. The results are described in terms of spatial rotation matrix elements, so that the angular distribution of light emission for higher order multipoles is easily obtained, which enables us to evaluate basic optical near-field problems such as electric dipole radiation with arbitrary orientation with respect both to surface and observation direction. The numerical results are in good agreement with our previous experimental results and the numerical results reported by Lukosz.

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References

  1. See, for example, articles in Near Field Optics, eds. D.W. Pohl and D. Courjon (Kluwer Academic Publishers, Netherlands, 1993

  2. J.M. Wylie and J.E. Sipe: Phys. Rev. A 30 (1984) 1185.

    Article  Google Scholar 

  3. F.S. huurmans: Phys. Rev. A 11 (1975) 230.

    Article  Google Scholar 

  4. T. Matsudo, T. Inoue, Y. Inoue, H. Hori and T. Sakurai: Phys. Rev. A 55 (1997) 2406.

    Article  Google Scholar 

  5. C.K. Carniglia, L. Mandel and K.H. Drexhage: J. Opt. Soc. Am. 62 (1972) 479.

    Google Scholar 

  6. A.L. Burgmans and M.F. Schuurmans: Phys. Rev. A 16 (1977) 2002.

    Article  Google Scholar 

  7. W. Lukosz and R.E. Kunz: J. Opt. Soc. Am. 67 (1977) 1607.

    Google Scholar 

  8. W. Lukosz and R.E. Kunz: J. Opt. Soc. Am. 67 (1977) 1615.

    Google Scholar 

  9. Lukosz: J. Opt. Soc. Am. 69 (1979) 1495.

    Google Scholar 

  10. T. Inoue and H. Hori: Opt. Rev. 3 (1996) 458.

    Google Scholar 

  11. A.S. Davydov: Quantum Mechanics (Pergamon Press, Oxford, 1965) 1st ed. Chap. XIV, Sect. 135, p. 578.

    Google Scholar 

  12. A.R. Edmonds: Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1974) 2nd ed., Chap. 5, Sect. 5.9, p. 81.

    Google Scholar 

  13. E. Wolf and M. Nieto-Vesperinas: J. Opt. Soc. Am. A 2 (1985) 886.

    Google Scholar 

  14. M. Born and E. Wolf: Principles of Optics (Pergamon Press, Oxford 1975) 6th ed., Appendix. III, Sect. 3, p. 753.

    Google Scholar 

  15. R. Asby and E. Wolf: J. Opt. Soc. Am. 61 (1971) 52.

    Google Scholar 

  16. K. Miyamoto and E. Wolf: J. Opt. Soc. Am. 52 (1962) 615.

    Google Scholar 

  17. C.K. Carniglia and L. Mandel: Phys. Rev. D 3 (1971) 280.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Electronics, Yamanashi University, 4-3-11, Takeda, Kofu, 400-8511, Japan

    Tetsuya Inoue & Hirokazu Hori

Authors
  1. Tetsuya Inoue
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  2. Hirokazu Hori
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Correspondence to Hirokazu Hori.

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Inoue, T., Hori, H. Theoretical Treatment of Electric and Magnetic Multipole Radiation Near a Planar Dielectric Surface Based on Angular Spectrum Representation of Vector Field. OPT REV 5, 295–302 (1998). https://doi.org/10.1007/s10043-998-0295-2

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  • DOI: https://doi.org/10.1007/s10043-998-0295-2

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