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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/049/06/0635-0643

    • Keywords

       

      Spherical aberration; Lie algebraic methods

    • Abstract

       

      We discuss three methods to correct spherical aberration for a point to point imaging system. First, results obtained using Fermat’s principle and the ray tracing method are described briefly. Next, we obtain solutions using Lie algebraic techniques. Even though one cannot always obtain analytical results using this method, it is often more powerful than the first method. The result obtained with this approach is compared and found to agree with the exact result of the first method.

    • Author Affiliations

       

      Govindan Rangarajan1 2 Minita Sachidanand1

      1. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
      2. Theoretical Studies, Indian Institute of Science, Bangalore - 560 012, India

    • Dates

       
      Published
      December 1997
      Manuscript received
      7 August 1997
      Manuscript revised
      18 September 1997

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