Voigt profile functions in the complex domain

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions

In this work we present the explicit representations of the Voigt function K(a, b) (the convolution between a Gaussian and a Lorentzian function), the function N(a, b) defined as the convolution of Gaussian and dispersion distributions as well as the complex error function erf(a + ib), all in terms of the Kummer functions M(α, γ, a). The expansions are valid for all values of the parameter a (t...

متن کامل

Voigt profile characterization of copper K

We report a characterization of the Cu Kα profile and a transferable determination of the 2p satellite line using a new Voigt methodology which generates improved fits, smaller residuals and details of Compton profile features. The Kα1,2 emission of Cu was obtained from a rotating anode through a monolithic Si channel-cut monochromator. Least-squares fitting of a minimum set of Voigt profiles r...

متن کامل

Pressure effects on water vapour lines: beyond the Voigt profile.

A short overview of recent results on the effects of pressure (collisions) regarding the shape of isolated infrared lines of water vapour is presented. The first part of this study considers the basic collisional quantities, which are the pressure-broadening and -shifting coefficients, central parameters of the Lorentzian (and Voigt) profile and thus of any sophisticated line-shape model. Throu...

متن کامل

Domain Coloring of Complex Functions

Visualizing functions is an omnipresent task in many sciences and almost every day we are confronted with diagrams in newspapers and magazines showing functions of all possible flavours. Usually such functions are visualized by plotting their function graph inside an appropriate coordinate system, with the probably most prominent choice being the cartesian coordinate system. This allows us to g...

متن کامل

Fast Computation of Voigt Functions via Fourier Transforms

This work presents a method of computing Voigt functions and their derivatives, to high accuracy, on a uniform grid. It is based on an adaptation of Fourier-transform based convolution. The relative error of the result decreases as the fourth power of the computational effort. Because of its use of highly vectorizable operations for its core, it can be implemented very efficiently in scripting ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 1964

ISSN: 0004-9735

DOI: 10.1017/s1446788700025313