An assessment of some closed-form expressions for the Voigt function

被引：5

作者：

Schreier, Franz ^{[1
]}

机构：

[1] DLR German Aerosp Ctr, Remote Sensing Technol Inst, D-82234 Oberpfaffenhofen, Wessling, Germany

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2016年 / 176卷

关键词：

Complex error function; Complex probability function; Plasma dispersion function; Faddeyeva function; COMPLEX ERROR FUNCTION; GENERALIZED LORENTZIAN APPROXIMATIONS; LINE-SHAPE; PROFILE; COMPUTATION;

D O I：

10.1016/j.jqsrt.2016.02.016

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using triangular function approximations of the Gaussian, closed-form analytical representations of the Voigt function K(x,y) in terms of elementary functions can be derived. The performance of the approximations is studied by comparison with more exact numerical algorithms for the closely related complex error function, indicating serious problems for small y. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1 / 5

页数：5

共 50 条

[1] An assessment of some closed-form expressions for the Voigt function II: Utilizing rational approximations for the Gauss function
Schreier, Franz
[J]. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2017, 202 : 81 - 89
[2] Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions
Schreier, Franz
[J]. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2019, 226 : 87 - 91
[3] Closed-form expressions of transfer function responses
Hauksdóttir, AS
Hjaltadóttir, H
[J]. PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 3234 - 3239
[4] Closed-form expressions for some indices of SUOWA operators
Llamazares, Bonifacio
[J]. INFORMATION FUSION, 2018, 41 : 80 - 90
[5] SOME CLOSED-FORM EXPRESSIONS FOR ABSORPTIVE PLUME DETECTION
Theiler, James
Schaum, Alan
[J]. IGARSS 2020 - 2020 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM, 2020, : 1786 - 1789
[6] POLLACZEK POLYNOMIALS AND PADE APPROXIMANTS - SOME CLOSED-FORM EXPRESSIONS
WIMP, J
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 32 (1-2) : 301 - 310
[7] Closed-form expressions for Rician shadowed cumulative distribution function
Paris, J. F.
[J]. ELECTRONICS LETTERS, 2010, 46 (13) : 952 - U116
[8] Closed-form expressions of some stochastic adapting equations for nonlinear adaptive activation function neurons
Fiori, S
[J]. NEURAL COMPUTATION, 2003, 15 (12) : 2909 - 2929
[9] Closed-Form Expressions for the Matrix Exponential
De Zela, F.
[J]. SYMMETRY-BASEL, 2014, 6 (02): : 329 - 344
[10] Closed-Form Expressions of Convex Combinations
Schuermann, Bastian
El-Guindy, Ahmed
Althoff, Matthias
[J]. 2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 2795 - 2801

← 1 2 3 4 5 →