Dielectric function representation by B-splines

被引:233
作者
Johs, Blaine [1 ]
Hale, Jeffrey S. [1 ]
机构
[1] JA Woollam Co Inc, Lincoln, NE 68508 USA
来源
PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE | 2008年 / 205卷 / 04期
关键词
D O I
10.1002/pssa.200777754
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Accurate dielectric function values are essential for spectroscopic ellipsometry data analysis by traditional optical model-based analysis techniques. In this paper, we show that B-spline basis functions offer many advantages for parameterizing dielectric functions. A Kramers-Kronig consistent B-spline formulation, based on the standard B-spline recursion relation, is derived. B-spline representations of typical semiconductor and metal dielectric functions are also presented. [GRAPHICS] Kramers-Kromg consistent B-spline basis functions. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码:715 / 719
页数:5
相关论文
共 8 条
[1]  
[Anonymous], 2004, NUMERICAL MATH COMPU
[2]  
Farin G., 1998, CURVES SURFACES CAGD
[3]   INP OPTICAL-CONSTANTS BETWEEN 0.75 AND 5.0 EV DETERMINED BY VARIABLE-ANGLE SPECTROSCOPIC ELLIPSOMETRY [J].
HERZINGER, CM ;
SNYDER, PG ;
JOHS, B ;
WOOLLAM, JA .
JOURNAL OF APPLIED PHYSICS, 1995, 77 (04) :1715-1724
[4]   Ellipsometric determination of optical constants for silicon and thermally grown silicon dioxide via a multi-sample, multi-wavelength, multi-angle investigation [J].
Herzinger, CM ;
Johs, B ;
McGahan, WA ;
Woollam, JA ;
Paulson, W .
JOURNAL OF APPLIED PHYSICS, 1998, 83 (06) :3323-3336
[5]   Parameterization of the optical functions of amorphous materials in the interband region [J].
Jellison, GE ;
Modine, FA .
APPLIED PHYSICS LETTERS, 1996, 69 (03) :371-373
[6]  
Kittel C., 2005, INTRO SOLID STATE PH, V8th
[7]  
Palik E. D., 1998, HDB OPTICAL CONSTANT
[8]   HIGH-PRECISION UV-VISIBLE NEAR-IR STOKES VECTOR SPECTROSCOPY [J].
ZETTLER, JT ;
TREPK, T ;
SPANOS, L ;
HU, YZ ;
RICHTER, W .
THIN SOLID FILMS, 1993, 234 (1-2) :402-407