MPQA method applied to the plasma dispersion function
A new approximation method for the plasma dispersion function Z(ζ) is presented. Multipoint quasi-rational approximation technique is used to find a bridge function that connects the power series and the asymptotic expansion of the function Z(ζ) using rational functions combined with exponential fun...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2024-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0184424 |
| _version_ | 1797278263111843840 |
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| author | E. Morales-Campaña P. Martin |
| author_facet | E. Morales-Campaña P. Martin |
| author_sort | E. Morales-Campaña |
| collection | DOAJ |
| description | A new approximation method for the plasma dispersion function Z(ζ) is presented. Multipoint quasi-rational approximation technique is used to find a bridge function that connects the power series and the asymptotic expansion of the function Z(ζ) using rational functions combined with exponential functions. An approximation with a polynomial of degree 10 is performed for the function Z(ζ), and the results obtained are compared with those of previous approximations from the literature. The results of this approximation were a relative error of ɛ = 0.0035 for Re[Z̃(ζ)] and a relative error of ɛ = 0.0011 for Im[Z̃(ζ)], which are lower than those of the other existing approximations. |
| first_indexed | 2024-03-07T16:00:45Z |
| format | Article |
| id | doaj.art-226c2b616fe24f6ebdbe543193592d79 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-07T16:00:45Z |
| publishDate | 2024-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-226c2b616fe24f6ebdbe543193592d792024-03-04T21:29:33ZengAIP Publishing LLCAIP Advances2158-32262024-02-01142025142025142-710.1063/5.0184424MPQA method applied to the plasma dispersion functionE. Morales-Campaña0P. Martin1Departamento de Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, ChileDepartamento de Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, ChileA new approximation method for the plasma dispersion function Z(ζ) is presented. Multipoint quasi-rational approximation technique is used to find a bridge function that connects the power series and the asymptotic expansion of the function Z(ζ) using rational functions combined with exponential functions. An approximation with a polynomial of degree 10 is performed for the function Z(ζ), and the results obtained are compared with those of previous approximations from the literature. The results of this approximation were a relative error of ɛ = 0.0035 for Re[Z̃(ζ)] and a relative error of ɛ = 0.0011 for Im[Z̃(ζ)], which are lower than those of the other existing approximations.http://dx.doi.org/10.1063/5.0184424 |
| spellingShingle | E. Morales-Campaña P. Martin MPQA method applied to the plasma dispersion function AIP Advances |
| title | MPQA method applied to the plasma dispersion function |
| title_full | MPQA method applied to the plasma dispersion function |
| title_fullStr | MPQA method applied to the plasma dispersion function |
| title_full_unstemmed | MPQA method applied to the plasma dispersion function |
| title_short | MPQA method applied to the plasma dispersion function |
| title_sort | mpqa method applied to the plasma dispersion function |
| url | http://dx.doi.org/10.1063/5.0184424 |
| work_keys_str_mv | AT emoralescampana mpqamethodappliedtotheplasmadispersionfunction AT pmartin mpqamethodappliedtotheplasmadispersionfunction |