Abstract

In this theoretical paper the formulas expressing the reflectance of randomly rough surfaces are derived within the framework of the scalar theory of diffraction. The Fresnel approximation has been used in the mathematical procedure since geometrical conditions of some real reflectometers do not correspond to the conditions of the Fraunhofer diffraction of light. The formulas found are generally different from the formulas derived within the framework of the Fraunhofer approximation. By means of the numerical analysis of these formulas the differences between both the Fresnel and the Fraunhofer approximations are shown. It is also found that the formulas corresponding to the Fresnel approximation give the same results as the formulas derived by means of the Fraunhofer approximation if certain geometrical conditions are valid. These geometrical conditions are determined in this paper. The formulas corresponding to thin films with randomly rough boundaries are also introduced.

© 1980 Optical Society of America

Full Article  |  PDF Article

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 (8)

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 (49)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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