Optical diffraction in close proximity to plane apertures: I. Boundary-value solutions for circular apertures and slits

Journal of Research of the National Institute of Standards and Technology

Volumn 107, Issue 4, 2002, Pages 355-362

  Mielenz, Klaus D ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Boundary value theory; Circular apertures; Diffraction; Kirchhoff; Near zone; Optics; Polarization; Rayleigh; Scalar wave functions; Slits; Sommerfeld

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; GEOMETRICAL OPTICS; INTEGRAL EQUATIONS; LIGHT POLARIZATION;

PLANE WAVES;

DIFFRACTIVE OPTICS;

EID: 0036662479     PISSN: 1044677X     EISSN: None     Source Type: Journal    
DOI: 10.6028/jres.107.028     Document Type: Article

References (20)

1. G.R. Kirchhoff, Ann. Phys. 18, 663 (1883).
2. Lord Rayleigh, Phil. Mag. 43, 259 (1897).
3. Lord Rayleigh, Proc. Roy. Soc. (A) 89, 194 (1913).
4. A. Sommerfeld, Optik, Dieterich'sche Verlagsbuchhandlung, Wiesbaden (1950) pp. 200-205.
5. H.L.F.v. Helmholtz, J. Mathematik 57, 7 (1859).
6. H. Poincaré, Théorie Mathématique de la Lumière, G. Carré, Paris 1892 pp. 185-188.
7. A. Sommerfeld, Nachr, Kgl. Akad. Wiss. Göttingen 4, 339 (1894).
8. N. Mukunda, J. Opt. Soc. Am. 52, 336 (1962).
9. K.D. Mielenz, J. Res. Natl. Inst. Stand. Technol. 103, 497 (1998).
10. E. Wolf and E.W. Marchand, J. Opt. Soc. Am. 54, 587 (1964).
11. A. Rubinowicz, Ann. Phys. 53, 257 (1917).
12. H. Osterberg and L.W. Smith, J. Opt. Soc. Am. 51, 1050 (1961).
13. F. Kottler, Ann. Phys. 70, 405 (1923).
14. E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 52, 761 (1962).
15. E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 56, 1712 (1966).
16. M. Born, Optik, Springer Verlag, Berlin (1930) p. 151.
17. W. Franz, Z. Phys. 126, 563 (1949).
18. K.D. Mielenz, J. Res. Natl. Inst. Stand. Technol. 105, 581 (2000).
19. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Acad. Press, New York (1980) p. 957.
20. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, U.S. Gov. Printing Office (1972) p. 358.