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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R K Luneberg,Mathematical theory of optics (University of California Press, Berkeley, 1964)
A J Dragt,J. Opt. Soc. Am. 72, 372 (1982)
A J Dragt, E Forest and K B Wolf, inLie methods in optics edited by J S Mondragon and K B Wolf (Springer Verlag, Berlin, 1986)
H Goldstein,Classical mechanics, second edition (Addison-Wesley, Reading, 1980)
A J Dragt, F Neri, G Rangarajan, D R Douglas, L M Healy and R D Ryne,Ann. Rev. Nucl. Part. Sci. 38, 455 (1988) and references therein
A J Dragt and E Forest,J. Math. Phys. 24, 2734 (1983)
G Rangarajan,J. Math. Phys. 37, 4514 (1996);Pramana — J. Phys. 48, 129 (1997)
G Rangarajan,J. Math. Phys. 38, 2710 (1997)
F Neri and G Rangarajan,Phys. Rev. Lett. 64, 1073 (1990)
A J Dragt, F Neri and G Rangarajan,Phys. Rev. A45, 2572 (1992)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rangarajan, G., Sachidanand, M. Spherical aberration and its correction using Lie algebraic methods. Pramana - J Phys 49, 635–643 (1997). https://doi.org/10.1007/BF02848337
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02848337