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Maxwell Optics: II. An Exact Formalism

2002/05/29 by Sameen Ahmed Khan, Khan, Sameen Ahmed
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Gyrotron and Vacuum Electronics Research #Optics (physics.optics) #Photonic and Optical Devices #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #physics.gen-ph #physics.optics #quant-ph

paper · pdf · doi:10.48550/arxiv.physics/0205084

LaTeX-12pt 23 pages, Part-II of a series http://www.pd.infn.it/~khan/ and http://www.imsc.ernet.in/~jagan/

arxiv created 2002/05/29 · openalex publication_date 2002/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a formalism for light optics starting with the Maxwell equations and casting them into an exact matrix form taking into account the spatial and temporal variations of the permittivity and permeability. This 8 × 8 matrix representation is used to construct the optical Hamiltonian. This has a close analogy with the algebraic structure of the Dirac equation, enabling the use of the rich machinery of the Dirac electron theory. We get interesting wavelength-dependent contributions which can not be obtained in any of the traditional approaches.

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