OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 5 — May. 1, 1966
  • pp: 677–683

System of Simultaneous Nonlinear Inequalities and Automatic Lens-Design Method

TATSURO SUZUKI and SEIJI YONEZAWA  »View Author Affiliations


JOSA, Vol. 56, Issue 5, pp. 677-683 (1966)
http://dx.doi.org/10.1364/JOSA.56.000677


View Full Text Article

Acrobat PDF (610 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method for automatic lens design is described. Instead of finding the approximate solution to the system of simultaneous nonlinear equations, the solution is found to the system of simultaneous nonlinear inequalities. Thus, the aberrations are driven into the domains which have been set up around target values. The bandwidth of the domain is the allowable tolerance associated with each aberration. A relaxation method is used to solve the system of linearized inequalities and iterative cycles are used to find the solution to the system of nonlinear ones. This method allows a high degree of control of individual performance functions. Mechanical conditions can be treated in the same way as aberrations. The program was written for the IBM 7090 computer and satisfactory designs were obtained in general within a few minutes for gauss-type photographic lenses.

Citation
TATSURO SUZUKI and SEIJI YONEZAWA, "System of Simultaneous Nonlinear Inequalities and Automatic Lens-Design Method," J. Opt. Soc. Am. 56, 677-683 (1966)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-56-5-677

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