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Special Section on Nanostructures Honoring Craig F. Bohren

Determination of constitutive and morphological parameters of columnar thin films by inverse homogenization

[+] Author Affiliations
Tom G. Mackay

School of Mathematics and Maxwell Institute for Mathematical Science, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Edinburgh, Scotland EH9 3JZ United Kingdom

Akhlesh Lakhtakia

NanoNM - Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA 16802-6812

J. Nanophoton. 4(1), 041535 (February 4, 2010). doi:10.1117/1.3332584
History: Received September 29, 2009; Revised January 14, 2010; Accepted January 18, 2010; February 4, 2010; Online February 04, 2010
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Abstract

A dielectric columnar thin film (CTF), characterized macroscopically by a relative permittivity dyadic, was investigated theoretically. The CTF was assumed, on the nanoscale, to be an assembly of parallel, identical, elongated ellipsoidal inclusions made of an isotropic dielectric material that has a different refractive index from the bulk material that was evaporated to fabricate the CTF. The inverse Bruggeman homogenization formalism was developed in order to estimate the refractive index of the deposited material, one of the two shape factors of the ellipsoidal inclusions, and the volume fraction occupied by the deposited material, from a knowledge of relative permittivity dyadic of the CTF. A modified Newton-Raphson technique was implemented to solve the inverse Bruggeman equations. Numerical studies revealed how the three nanoscale parameters of CTFs vary as functions of the vapor incidence angle.

© 2010 Society of Photo-Optical Instrumentation Engineers

Citation

Tom G. Mackay and Akhlesh Lakhtakia
"Determination of constitutive and morphological parameters of columnar thin films by inverse homogenization", J. Nanophoton. 4(1), 041535 (February 4, 2010). ; http://dx.doi.org/10.1117/1.3332584


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