Eigenfunction representation of the integrals of the Debye-Wolf diffraction formula

Journal of Modern Optics

Volumn 52, Issue 6, 2005, Pages 857-876

  Sherif, S S ^a   Torok P ^b  

^a UNIVERSITY OF KENT   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LIGHT POLARIZATION; MAGNETOELECTRIC EFFECTS; OPTICAL MICROSCOPY;

DEBYE-WOLF DIFFRACTION; DEBYE-WOLF FORMULA;

DIFFRACTION;

EID: 27944508236     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340512331309084     Document Type: Article

References (20)

1. E. Wolf, Proc. Roy. Soc. London A 253 349 (1959).
2. P. Török, J. Opt. Soc. Am. A 15 3009 (1998).
3. V.S. Ignatowsky, Trans. Opt. Inst. Petrograd. 1(4) 1 (1919).
4. V.S. Ignatowsky, Trans. Opt. Inst. Petrograd. 1(3) 1 (1920).
5. R.K. Luneburg, Mathematical Theory of Optics, 1st ed. (Univ. of California Press, Berkeley and Los Angeles, 1966).
6. The conditions of applicability are a great deal more stringent than "being in the vicinity of focus". A detailed discussion on this subject is outside the scope of this paper.
7. B. Richards, in Astronomical Optics and Related Subjects, edited by Z. Kopal (North Holland Publishing Company, Amsterdam, 1955), pp. 352-359.
8. B. Richards and E. Wolf, Proc. Roy. Soc. London A 253 358 (1959).
9. J. Leckner, J. Opt. A: Pure Appl. Opt. 5 6 (2003).
10. K.S. Youngworth and T.G. Brown, Opt. Express 7 77 (2000).
11. L.E. Franks, Signal Theory, revised ed. (Dowden & Culver, Stroudsburg, PA, 1981).
12. B.R. Frieden, in Progress in Optics, 9, edited by E. Wolf (Pergamon, New York, 1971), pp. 311-407.
13. D. Slepian, Bell System Technical Journal 43 3009 (1964).
14. J.C. Heurtley, in Proceedings of Symposium on Quasi-Optics, edited by J. Fox (Polytechnic Press, Brooklyn, 1964), p. 367.
15. G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic Press, San Diego, 1985), p. 578.
16. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), pp. 776.
17. S. Zhang and J. Jin, Computation of Special Functions (Wiley, New York, 1996).
18. P.E. Falloon, Hybrid (numeric/symbolic) computation of the spheroidal harmonics and application to the generalized hydrogen molecular ion problem, M.Sc. thesis, School of Physics, University of Western Australia, Crawly WA 6009, Australia (2001).
19. W. Latham and M. Tilton, Appl. Opt. 26 2653 (1987).
20. P. Török, S.J. Hewlett and P. Varga, J. Mod. Optics 44 493 (1997).