Abstract

A theorem is proved which relates the number of degrees of freedom in the image space of any lens to the light-gathering effectiveness of the lens. Under appropriate approximations this theorem is equivalent to Gabor’s expansion theorem. If the number of degrees of freedom is small, these approximations are not warranted and true superresolution becomes a possibility.

© 1967 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
On Gabor’s Expansion Theorem*

Kenro Miyamoto
J. Opt. Soc. Am. 50(9) 856-858 (1960)

Propagation of the generalized radiance through lenses

A. Walther
J. Opt. Soc. Am. 68(11) 1606-1610 (1978)

Theory of Microscope Vision*†

M. Herzberger
J. Opt. Soc. Am. 26(1) 52-62 (1936)

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 (2)

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 (57)

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