Please use this identifier to cite or link to this item: https://doi.org/10.1364/JOSAA.27.002558
Title: Generalization of ray tracing in a linear inhomogeneous anisotropic medium: A coordinate-free approach
Authors: Akbarzadeh, A.
Danner, A.J. 
Issue Date: Dec-2010
Source: Akbarzadeh, A.,Danner, A.J. (2010-12). Generalization of ray tracing in a linear inhomogeneous anisotropic medium: A coordinate-free approach. Journal of the Optical Society of America A: Optics and Image Science, and Vision 27 (12) : 2558-2562. ScholarBank@NUS Repository. https://doi.org/10.1364/JOSAA.27.002558
Abstract: The Hamiltonian of an optical medium is important in both the design and the description of optical devices in the geometrical optics limit. The results calculated in this article show in detail how ray tracing in anisotropic materials in arbitrary coordinate systems and curved spaces can be carried out. Writing Maxwell's equations in the most general form, we derive a coordinate-free form for the eikonal equation and hence the Hamiltonian of a general purpose medium. The expression works for both orthogonal and non-orthogonal coordinate systems, and we show how it can be simplified for biaxial and uniaxial media in orthogonal coordinate systems. In order to show the utility of the equations in a real case, we study both the isotropic and the uniaxially transmuted birefringent Eaton lens and derive the ray trajectories in spherical coordinates for each case. © 2010 Optical Society of America.
Source Title: Journal of the Optical Society of America A: Optics and Image Science, and Vision
URI: http://scholarbank.nus.edu.sg/handle/10635/56118
ISSN: 10847529
DOI: 10.1364/JOSAA.27.002558
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

18
checked on Dec 12, 2017

Page view(s)

34
checked on Dec 8, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.