Abstract

The Rayleigh–Sommerfeld solutions and the Luneburg–Severin–Vasseur and Severin–Vasseur solutions of diffraction problems are shown to satisfy certain reciprocity theorems in the case of a spherical incident wave. These new reciprocity theorems have very simple relations to those known in Kirchhoff’s theory of diffraction.

© 1966 Optical Society of America

Full Article  |  PDF Article
Related Articles
Equivalence between two consistent formulations of Kirchhoff’s diffraction theory

Salvatore Ganci
J. Opt. Soc. Am. A 5(10) 1626-1628 (1988)

Consistent Formulation of Kirchhoff’s Diffraction Theory*

E. W. Marchand and E. Wolf
J. Opt. Soc. Am. 56(12) 1712-1721 (1966)

Diffraction at Small Apertures in Black Screens

E. W. Marchand and E. Wolf
J. Opt. Soc. Am. 59(1) 79-90 (1969)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (31)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription