Diffracted field by an arbitrary aperture

American Journal of Physics

Volumn 67, Issue 1, 1999, Pages 87-92

  Dubra, Alfredo ^a   Ferrari, José A ^a  

^a INSTITUTO DE FÍSICA   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033482920     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19195     Document Type: Article

References (10)

1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968, reissued 1988). Equation (1) can be deduced substituting the Green's function shown in Eq. 3-23, p. 44, into Eq. 3-15.
2. A. Sommerfeld, Optics (Academics, London, 1992), pp. 201-217.
3. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1993), 6th ed., pp. 449-453.
4. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd ed.
5. E. Hecht, Optics (Addison-Wesley, Reading, MA, 1987), 2nd ed., Chap. 10.4.
6. E. Wolf and E. W. Marchand, "Comparison of the Kirchhoff and the Rayleigh-Sommerfeld theories of diffraction at an aperture," J. Opt. Soc. Am. 54 (5), 587-594 (1964).
7. In a rigorous diffraction theory, the wave must satisfy additional equations depending on the nature of the wave into consideration. For example, for light waves these additional equations are Maxwell's equations for the electric and magnetic fields. See, for example, Ref. 3, Chap. XI.
8. It is important to be aware of the wrong derivation in the classical textbook of A. Sommerfeld, Optics (Academic, London, 1992), pp. 201-217. There some nontrivial hypotheses are taken and a wrong result is obtained.
9. H. Osterberg and L. W. Smith, "Closed solutions of Rayleigh's integral for axial points," J. Opt. Soc. 51 (10), 1050-1054 (1961).
10. A beautiful experiment about the physical reality of edge wave is described by S. Ganci, "An experiment on the physical reality of edge diffracted waves," Am. J. Phys. 57, 370-373 (1989).