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Multiple-prism dispersion equations for positive and negative refraction


The multiple-prism dispersion equations are restated for both positive and negative refraction. First, it is indicated that negative refraction is compatible with a description of N-slit transmission interference. Once the law of refraction is established, with positive and negative options, the generalized equations of dispersion follow.

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  1. Newton I (1704) Opticks. Royal Society, London

    Google Scholar 

  2. Duarte FJ, Piper JA (1982) Opt. Commun. 43:303

    Article  ADS  Google Scholar 

  3. Duarte FJ (1997) Am. J. Phys. 65:637

    Article  ADS  Google Scholar 

  4. Dirac PAM (1978) The Principles of Quantum Mechanics. Oxford, London

    Google Scholar 

  5. Duarte FJ (1993) Opt. Commun. 103:8

    Article  ADS  Google Scholar 

  6. Duarte FJ (2003) Tunable Laser Optics. Elsevier Academic, New York

    Google Scholar 

  7. Duarte FJ (2004) Eur. J. Phys. 25:L57

    Article  Google Scholar 

  8. Veselago VG (1968) Sov. Phys. Uspekhi 10:509

    Article  ADS  Google Scholar 

  9. Zhang Y, Fluegel B, Mascarenhas A (2003) Phys. Rev. Lett. 91:157404-1

    Article  PubMed  ADS  Google Scholar 

  10. Born M, Wolf E (1975) Principles of Optics. Pergamon, New York

    Google Scholar 

  11. Wallenstein R, Hänsch TW (1974) Appl. Opt. 13:1625

    ADS  Article  Google Scholar 

  12. Feynman RP, Leighton RB, Sands M (1965) The Feynman Lectures on Physics, vol III. Addison-Wesley, Reading

    Google Scholar 

  13. Demtröder W (2003) Laser Spectroscopy, 3rd edn. Springer, Berlin

    Google Scholar 

  14. Barr JRM (1984) Opt. Commun. 51:41

    Article  ADS  Google Scholar 

  15. Duarte FJ (1985) Opt. Commun. 53:259

    Article  ADS  Google Scholar 

  16. Niefer RJ, Atkinson JB (1988) Opt. Commun. 67:139

    Article  ADS  Google Scholar 

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Correspondence to F.J. Duarte.

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42.25.Gy; 42.79.Bh

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Duarte, F. Multiple-prism dispersion equations for positive and negative refraction. Appl. Phys. B 82, 35–38 (2006).

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  • Refraction
  • Negative Refraction
  • Tunable Laser
  • Positive Refraction
  • Prism Pair