NUMERICAL EVALUATION OF PARAMETER CORRELATION IN THE HARTMANN-TRAN LINE PROFILE
Author(s) -
Erin M. Adkins,
Joseph T. Hodges,
Zachary Reed
Publication year - 2017
Publication title -
ideals (university of illinois urbana-champaign)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.15278/isms.2017.wj01
Subject(s) - line (geometry) , correlation , computer science , mathematics , geometry
The partially correlated quadratic, speed-dependent hard-collision profile (pCqSDHCP), for simplicity referred to as the Hartmann-Tran profile (HTP), a has been recommended as a generalized lineshape for high resolution spectroscopy.b The HTP parameterizes complex collisional effects such as Dicke narrowing, speed dependent narrowing, and correlations between velocity-changing and dephasing collisions, while also simplifying to simpler profiles that are widely used, such as the Voigt profile. As advanced lineshape profiles are adopted by more researchers, it is important to understand the limitations that data quality has on the ability to retrieve physically meaningful parameters using sophisticated lineshapes that are fit to spectra of finite signal-to-noise ratio. In this work, spectra were simulated using the HITRAN Application Programming Interface (HAPI)c across a full range of line parameters.d Simulated spectra were evaluated to quantify the precision with which fitted lineshape parameters can be determined at a given signal-to-noise ratio, focusing on the numerical correlation between the retrieved Dicke narrowing frequency and the velocity-changing and dephasing collisions correlation parameter.
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