Physics – Optics
Scientific paper
2002-10-06
Physics
Optics
LaTeX 58 pages, corrected eprint numbers in two references, http://www.pd.infn.it/~khan/ http://www.imsc.ernet.in/~jagan/
Scientific paper
We present a new formalism for light beam optics starting with 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. Besides, reproducing all the traditional quasiparaxial terms, this method leads to additional contributions, which are dependent on the wavelength, in the optical Hamiltonian. This alternate prescription to obtain the aberration expansion is applied to the axially symmetric graded index fiber. This results in the wavelength-dependent modifications of the paraxial behaviour and the aberration coefficients. Furthermore it predicts a wavelength-dependent image rotation. In the low wavelength limit our formalism reproduces the Lie algebraic formalism of optics. The Foldy-Wouthuysen technique employed by us is ideally suited for the Lie algebraic approach to optics. The present study further strengthens the close analogy between the various prescription of light and charged-particle optics. All the associated machinery used in this formalism is described in the text and the accompanying appendices.
No associations
LandOfFree
Wavelength-Dependent Effects in Maxwell Optics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wavelength-Dependent Effects in Maxwell Optics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wavelength-Dependent Effects in Maxwell Optics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-440213