Fourier Transform Method Of A Detailed Configuration Accounting In Hot Plasma Bound-Bound Opacity Calculations

TL;DR

This paper extends a Fourier transform-based method for detailed configuration accounting in hot plasma opacity calculations, offering a new, numerically convenient approach for bound-bound opacity modeling.

Contribution

The authors generalize the Hazak-Kurzweil Fourier transform method from Super Transition Arrays to Detailed Configuration Accounting, providing an alternative and practical computational expression.

Findings

New Fourier transform expressions for detailed configuration bound-bound opacity.

Enhanced numerical convenience for opacity calculations.

Potential for improved accuracy in plasma opacity modeling.

Abstract

G.~Hazak and J.~Kurzweil discovered a method of configurational resolution of transition arrays for the Super Transition Arrays approach to the bound-bound opacity calculation. Their method is based on the representation of the photoabsorption coefficient as the Fourier transform, the linearity of the transition energy between configurations with respect to shell occupation numbers, and factorization of the probabilities of configurations on shell occupation numbers. We extend the Hazak -- Kurzweil method for the calculations with Detailed Configuration Accounting. The resulting expressions for the bound-bound opacity represent an alternative to the widely used ones and are quite convenient for numerical implementation.