All Forums  Origin Forum  Origin Forum  What algorithm is used for the Voigt function?

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Screensize: 640 x 480 800 x 600 1024 x 768 1280 x 1024 UserName: Password: Anti-Spam Code: Format Mode: Basic  Help  Prompt  Format: Font Andale Mono Arial Arial Black Book Antiqua Century Gothic Comic Sans MS Courier New Georgia Impact Lucida Console Script MT Bold Stencil Tahoma Times New Roman Trebuchet MS Verdana   Size 1 2 3 4 5 6   Color Black Red Yellow Pink Green Orange Purple Blue Beige Brown Teal Navy Maroon LimeGreen Message: * HTML is OFF * Forum Code is ON Smilies [quote][i]Originally posted by zygote72[/i] [br]Origin 8.6.0 SR3 Windows 7-64bit SR1 I am wondering if there is any documentation on how Origin calculates the Voigt function. There is no closed form for the integral and so it must be computed numerically. I have compared Voigts generated by Origin with equivalent Voigts generated by published algorithms [1,2]. I am getting errors in the Origin Voigts on the order of 2e-6 which is too large for my application. The errors are in the width and in step discontinuities in the wings after about twice the full width, especially when approaching the Gaussian limit. [1] Weideman JAC. Computation of the Complex Error Function. SIAM Journal on Numerical Analysis. 1994;31:1497-518. [url]http://dx.doi.org/10.1137/0731077[/url] [2] Johnson SG. Faddeeva Package. [url]http://ab-initio.mit.edu/wiki/index.php/Faddeeva_Package[/url] [/quote]   Check here to include your profile signature. Check here to subscribe to this topic.