Abstract

The Braunbek method is applied to the generalized vector potential associated with the Maggi–Rubinowicz representation, and a closed-form expression for the vector potential is obtained. For observation points away from caustics or shadow boundaries, the field derived from this quantity is the same as that determined from the geometrical theory of diffraction on a singly diffracted edge ray. The paper concludes with an evaluation of the field for the simple case of a plane wave normally incident upon a circular aperture, showing that the field predicted by the Maggi–Rubinowicz theory is continuous across the shadow boundary.

© 1983 Optical Society of America

Uniform asymptotic theory of diffraction by apertures

Jakob J. Stamnes
J. Opt. Soc. Am. 73(1) 96-109 (1983)

Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave—Part I†

Kenro Miyamoto and Emil Wolf
J. Opt. Soc. Am. 52(6) 615-625 (1962)

Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave—Part II†

Kenro Miyamoto and Emil Wolf
J. Opt. Soc. Am. 52(6) 626-636 (1962)

Asymptotic representation of the boundary diffraction wave for a Gaussian beam incident on a circular aperture

Takashi Takenaka, Masao Kakeya, and Otozo Fukumitsu
J. Opt. Soc. Am. 70(11) 1323-1328 (1980)

Asymptotic representation of the boundary-diffraction wave for a three-dimensional Gaussian beam incident upon a Kirchhoff half-screen

Takashi Takenaka and Otozo Fukumitsu
J. Opt. Soc. Am. 72(3) 331-336 (1982)