# Non-LTE line formation in a magnetic field. I. Noncoherent scattering and true absorption

## Abstract

The formation of a Zeeman-multiplet by noncoherent scattering and true absorption in a Milne-- Eddington atmosphere is considered assuming a homogeneous magnetic field and complete depolarization of the atomic line levels. The transfer equation for the Stokes parameters is transformed into a scalar integral equation of the Wiener-- Hopf type which is solved by Sobolev's method in closed form. The influence of the magnetic field on the mean scattering number in an infinite medium is discussed. The solution of the line formation problem is obtained for a Planckian source fruction. This solution may be simplified by making the ''finite field approximation'', which should be sufficiently accurate for practical purposes. (auth)

- Authors:

- Publication Date:

- Research Org.:
- Zentralinstitut fuer Astrophysik, Potsdam, Ger.

- OSTI Identifier:
- 4397930

- NSA Number:
- NSA-29-011033

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Solar Phys., v. 31, no. 2, pp. 279-289; Other Information: Orig. Receipt Date: 30-JUN-74

- Country of Publication:
- Country unknown/Code not available

- Language:
- English

- Subject:
- N56400* -Physics (Astrophysics & Cosmology)-Solar Phenomena; *SOLAR ATMOSPHERE- SPECTRA; ABSORPTION; LTE; MAGNETIC FIELDS; SCATTERING; ZEEMAN EFFECT

### Citation Formats

```
Domke, H., and Staude, J.
```*Non-LTE line formation in a magnetic field. I. Noncoherent scattering and true absorption*. Country unknown/Code not available: N. p., 1973.
Web.

```
Domke, H., & Staude, J.
```*Non-LTE line formation in a magnetic field. I. Noncoherent scattering and true absorption*. Country unknown/Code not available.

```
Domke, H., and Staude, J. Wed .
"Non-LTE line formation in a magnetic field. I. Noncoherent scattering and true absorption". Country unknown/Code not available.
```

```
@article{osti_4397930,
```

title = {Non-LTE line formation in a magnetic field. I. Noncoherent scattering and true absorption},

author = {Domke, H. and Staude, J.},

abstractNote = {The formation of a Zeeman-multiplet by noncoherent scattering and true absorption in a Milne-- Eddington atmosphere is considered assuming a homogeneous magnetic field and complete depolarization of the atomic line levels. The transfer equation for the Stokes parameters is transformed into a scalar integral equation of the Wiener-- Hopf type which is solved by Sobolev's method in closed form. The influence of the magnetic field on the mean scattering number in an infinite medium is discussed. The solution of the line formation problem is obtained for a Planckian source fruction. This solution may be simplified by making the ''finite field approximation'', which should be sufficiently accurate for practical purposes. (auth)},

doi = {},

journal = {Solar Phys., v. 31, no. 2, pp. 279-289},

number = ,

volume = ,

place = {Country unknown/Code not available},

year = {Wed Aug 01 00:00:00 EDT 1973},

month = {Wed Aug 01 00:00:00 EDT 1973}

}

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