The numerical integration of fundamental diffraction integrals for converging polarized spherical waves using a two-dimensional form of Simpson's 1/3 rule

Journal of Modern Optics

Volumn 52, Issue 8, 2005, Pages 1123-1134

  Cooper, I J ^a   Sheppard, C J R ^b   Roy, M ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFRACTION;

DIFFRACTION INTEGRALS; FRESNEL NUMBER; KIRCHHOFF BOUNDARY CONDITIONS; SIMPSON'S RULE;

LIGHT POLARIZATION;

EID: 27844444795     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340512331323439     Document Type: Article

References (17)

1. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, 1999).
2. J.J. Stamnes (Editor), Selected Papers on Electromagnetic Fields in the Focal Region, SPIE Milestone Series, Vol. MS168 (SPIE Optical Engineering Press, Bellingham, WA, 2001).
3. B. Richards and E. Wolf, Proc. Roy. Soc. A 253 358 (1959).
4. M. Mansuripur, J. Opt. Soc. Am. A 3 2086 (1986).
5. M. Mansuripur, J. Opt. Soc. Am. A 6 786 (1989).
6. I.J. Cooper, C.J.R. Sheppard and M. Sharma, Optik 113 293 (2002).
7. I.J. Cooper and C.J.R. Sheppard, Optik 114 298 (2003).
8. A. Sommerfeld, Optics - Lectures on Theoretical Physics, Vol. 4 (Academic Press, New York, 1964).
9. G.R. Fowles, Introduction to Modern Optics (Holt, Rinehart & Winstonce-Hall, New York, 1968).
10. P. Torok and C.J.R. Sheppard, The Role of Pinhole Size in High-Aperture Two- and Three-Photon Microscopy, Confocal and Two-Photon Microscopy (Wiley-Liss, New York, 2002).
11. P.J. Davis and P. Rabinowitz, Methods of Numerical Integration (Academic Press, New York, 1975), pp. 269-270.
12. D. Hanselman and B. Littlefield, Mastering Matlab 5 (Prentice-Hall, Upper Saddle River, NJ, 1998).
13. W. Hsu and R. Barakat, J. Opt. Soc. Am. A 11 623 (1994).
14. C.J.R. Sheppard and P. Torok, Optics and Optoelectronics, Vol. 1 (Narosa, New Delhi, 1999).
15. R. Quabis, R. Dorn, M. Eberler et al., Opt. Commun. 179 1 (2000).
16. K.S. Youngworth and T.G. Brown, Opt. Express 7 7 (2000).
17. S. Feng and H.G. Wiful, Opt. Lett. 26 485 (2001).