OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 3 — Feb. 1, 1983
  • pp: 387–390

Imaging and transforming transmission through a medium with nonrotation-symmetric gradient index

C. Gomez-Reino and E. Larrea  »View Author Affiliations


Applied Optics, Vol. 22, Issue 3, pp. 387-390 (1983)
http://dx.doi.org/10.1364/AO.22.000387


View Full Text Article

Enhanced HTML    Acrobat PDF (381 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The objective of this paper is to show that it is possible to transmit a paraxial optical image and transform through a dielectric inhomogeneous medium whose refractive index is given by n 2 = n 1 2 ( z ) + n 0 2 [ h 1 ( z ) x + h 2 ( z ) y g 2 ( z ) ( x 2 + y 2 ) ], where n0 = n1(0), and n1, g, h1, and h2 are arbitrary functions of z. The optical image transmission, with a scaling factor F = H2(zm), m being an integer, is obtained at planes z = zm such that H1(zm) = 0 (the image condition), and the optical transform transmission is obtained at planes z = z ˜ m such that H 2 ( z ˜ m ) = 0 (the transform condition), where H1(z) and H2(z) are two independent solutions of the paraxial ray equation (z) + g2(z)H(z) = 0 with the initial conditions H1(0) = 0,1(0) = 1,H2(0) = 1, and 2(0) = 0, where the point denotes the derivative with respect to z. Finally, we show that this medium can be represented by a transmittance function similar to the spherical-lens transmittance function and thus can be an element of image-forming systems.

© 1983 Optical Society of America

History
Original Manuscript: June 30, 1982
Published: February 1, 1983

Citation
C. Gomez-Reino and E. Larrea, "Imaging and transforming transmission through a medium with nonrotation-symmetric gradient index," Appl. Opt. 22, 387-390 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-3-387

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited