OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 9 — Sep. 1, 1979
  • pp: 1248–1254

General solution of the problem of perfect geodesic lenses for integrated optics

Stefano Sottini, Vera Russo, and Giancarlo C. Righini  »View Author Affiliations


JOSA, Vol. 69, Issue 9, pp. 1248-1254 (1979)
http://dx.doi.org/10.1364/JOSA.69.001248


View Full Text Article

Acrobat PDF (783 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The problem of designing waveguide geodesic lenses for integrated optical processing is considered. Geodesic lenses are, at present, the best solution whenever crystals of high refractive index must be used as substrates. A good geodesic lens has to be constituted by a surface of rotation, coupled without discontinuities with the planar optical circuit. The present paper derives, by an analytical procedure, the general expression for the profile of aspherical geodesic lenses able to form perfect geometrical images of the points of two given concentric circles on each other. In particular, the equations that characterize a family of lenses having two conjugate foci external to the lens depression are given. The case of one external and one internal focus is only outlined because it is less important in practice. The advantage of this analytical method is represented by the clear theoretical approach that allows a large flexibility in the lens design without long expensive computations.

© 1979 Optical Society of America

Citation
Stefano Sottini, Vera Russo, and Giancarlo C. Righini, "General solution of the problem of perfect geodesic lenses for integrated optics," J. Opt. Soc. Am. 69, 1248-1254 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-9-1248

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited