Abstract

The coefficients for the expansion of a plane wave in terms of the eigenstates (modes) of a Selfoc® fiber are derived. This result is used as the basis for a suggestion for a new optical fiber whose spectral response could be any one of the functions used extensively in colorimetric instrumentation.

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  1. A. Messiah, Quanlum Mechanics (North–Holland, Amsterdam, 1961), p. 359.
  2. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Ch. 16.
  3. Reference 1, Ch. 16.
  4. H. Kogelnik, in Proceedings of Symposium on Quasi-Optics (Polytechnic Press, New York, 1964).
  5. Reference 1, Ch. 5.
  6. W. Streifer and C. N. Kurtz, J. Opt. Soc. Am. 57, 779 (1967).
  7. Reference 1, Appendix A.
  8. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University, London, 1922), p. 20.
  9. W. Magnus and F. Oberhettinger, Formulas and Theory for Special Functions of Mathematical Physics (Springer, New York, 1966), Ch. 5.
  10. Reference 8, p. 395.
  11. Reference 8, p. 394.
  12. Reference 9, Ch. 6.
  13. Reference 9, Ch. 5.
  14. R. Eisberg, Fundamentals of Modern Physics (Wiley, New York, 1961), p. 57.
  15. A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).
  16. D. Marcuse, Light Transmission Optics (Van Nostrand-Reinhold, New York, 1972).
  17. P. M. Tannenbaum, J. Opt. Soc. Am. 64, 89 (1974).
  18. Millimeter and Submillimeter Techniques, edited by R. A. Benson (ILI FFE Books, London, 1969), Ch. 18.
  19. Reference 16, p. 250.

Eisberg, R.

R. Eisberg, Fundamentals of Modern Physics (Wiley, New York, 1961), p. 57.

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Ch. 16.

Kogelnik, H.

H. Kogelnik, in Proceedings of Symposium on Quasi-Optics (Polytechnic Press, New York, 1964).

Kurtz, C. N.

W. Streifer and C. N. Kurtz, J. Opt. Soc. Am. 57, 779 (1967).

Magnus, W.

W. Magnus and F. Oberhettinger, Formulas and Theory for Special Functions of Mathematical Physics (Springer, New York, 1966), Ch. 5.

Marcuse, D.

D. Marcuse, Light Transmission Optics (Van Nostrand-Reinhold, New York, 1972).

Messiah, A.

A. Messiah, Quanlum Mechanics (North–Holland, Amsterdam, 1961), p. 359.

Oberhettinger, F.

W. Magnus and F. Oberhettinger, Formulas and Theory for Special Functions of Mathematical Physics (Springer, New York, 1966), Ch. 5.

Pask, C.

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

Snyder, A. W.

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

Streifer, W.

W. Streifer and C. N. Kurtz, J. Opt. Soc. Am. 57, 779 (1967).

Tannenbaum, P. M.

P. M. Tannenbaum, J. Opt. Soc. Am. 64, 89 (1974).

Watson, G. N.

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University, London, 1922), p. 20.

Other (19)

A. Messiah, Quanlum Mechanics (North–Holland, Amsterdam, 1961), p. 359.

J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Ch. 16.

Reference 1, Ch. 16.

H. Kogelnik, in Proceedings of Symposium on Quasi-Optics (Polytechnic Press, New York, 1964).

Reference 1, Ch. 5.

W. Streifer and C. N. Kurtz, J. Opt. Soc. Am. 57, 779 (1967).

Reference 1, Appendix A.

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University, London, 1922), p. 20.

W. Magnus and F. Oberhettinger, Formulas and Theory for Special Functions of Mathematical Physics (Springer, New York, 1966), Ch. 5.

Reference 8, p. 395.

Reference 8, p. 394.

Reference 9, Ch. 6.

Reference 9, Ch. 5.

R. Eisberg, Fundamentals of Modern Physics (Wiley, New York, 1961), p. 57.

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

D. Marcuse, Light Transmission Optics (Van Nostrand-Reinhold, New York, 1972).

P. M. Tannenbaum, J. Opt. Soc. Am. 64, 89 (1974).

Millimeter and Submillimeter Techniques, edited by R. A. Benson (ILI FFE Books, London, 1969), Ch. 18.

Reference 16, p. 250.

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