Issue
EPL
Volume 78, Number 1, April 2007
Article Number 17004
Number of page(s) 4
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/78/17004
Published online 15 March 2007
EPL, 78 (2007) 17004
DOI: 10.1209/0295-5075/78/17004

Analysis of characteristic matrix for a uniaxially birefringent thin film

H. J. Qi, J. D. Shao and Z. X. Fan

Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences - Shanghai 201800, China

qhj@mail.siom.ac.cn

received 30 December 2006; accepted in final form 15 February 2007; published April 2007
published online 15 March 2007

Abstract
As the principal section consistent with the principal plane, electromagnetic propagation in a uniaxially birefingent thin film can be described with a concise $2\times 2$ characteristic matrix, in which the refractive indices of the forward and backward propagating extraordinary rays are different and dependent. In this letter, based on Huygen's construction, the refractive indices and effective optical admittances of the forward and backward propagating extraordinary rays are discussed further, and the $2\times 2$ characteristic matrix is simplified. Furthermore, the input optical admittance, reflectance and transmittance of assembly is presented, just as an isotropic thin film. The result can be extended to the general case of multilayer uniaxially birefringent thin films with their optic axes in the incident plane.

PACS
78.20.Fm - Birefringence .
78.20.Ci - Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity) .
77.55.+f - Dielectric thin films .

© Europhysics Letters Association 2007