Abstract
Analogous to the case in classical mechanics, one can also develop the Hamiltonian formulation in optics. This approach will be used in Chapter 7 to calculate explicit expressions for various aberration coefficients. In the Hamiltonian formulation, we have first to define the generalized momenta p and q by the relation1
where, as before, dots represent differentiation with respect to z and L is the optical Lagrangian. On substituting the value of L from Eq.(8) of Chapter 3, we find
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References
R.K. Luneberg, Mathematical Theory of Optics, Univ. California Press, Berkeley, (1964).
M. Born and E. Wolf, Principles of Optics, Pergamon Press, Oxford, (1975).
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© 2002 Springer Science+Business Media New York
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Lakshminarayanan, V., Ghatak, A.K., Thyagarajan, K. (2002). The Optical Hamiltonian and Study of Paraxial Lens Optics. In: Lagrangian Optics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1711-5_6
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DOI: https://doi.org/10.1007/978-1-4615-1711-5_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-7582-1
Online ISBN: 978-1-4615-1711-5
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