Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
852149 | Optik - International Journal for Light and Electron Optics | 2010 | 9 Pages |
Abstract
Matrix representations of Maxwell's equations have a striking resemblance to the Dirac equation. We exploit this resemblance to build a beam optics formalism from an exact eight-dimensional matrix representation of the Maxwell equations. The Foldy–Wouthuysen iterative diagonalization technique is employed to obtain a Hamiltonian description for a system with varying refractive index. The beam-optical Hamiltonian is shown to have a wavelength-dependent part, resulting in the wavelength-dependent modifications of light beam optics. The present study is the generalization of the traditional and non-traditional prescription of Helmholtz optics.
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Authors
Sameen Ahmed Khan,