model spectra of neutron star surface thermal emission discuss some results
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Model Spectra of Neutron Star Surface Thermal Emission – discuss some results. Originally I should report the results of the model using diffusion approximation, but there are still some problems. Lun-Wen Yeh 2006.4.13. outline. The flat temperature profile at outer atmosphere.

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model spectra of neutron star surface thermal emission discuss some results

Model Spectra of Neutron Star Surface Thermal Emission –discuss some results

Originally I should report the results of the model using diffusion approximation, but there are still some problems.

Lun-Wen Yeh 2006.4.13

outline
outline
  • The flat temperature profile at outer atmosphere.
  • The plateau of temperature profile.
  • The additional opacity.
  • The limb darkening and the magnetic beaming.
  • The spectra.
  • The absorption features of both polarization modes.

Ps: All the following results are calculated in Teff=106K; B=1012 gauss or zero filed.

slide5
The gray atmosphere in the plane-parallel geometry

Radiative equilibrium

LTE( if no scattering )

f is Eddington factor which is ~ 1/3 at deep atmosphere and ~ 1 at outer atmosphere.

slide6
The spherical symmetry geometries for the gray atmosphere.

Radiative equilibrium

LTE( if no scattering )

slide14
θB=0 degree

rho~0.001-2 g/cm3

slide20
The plateau feature is because

the photon-matter decoupling areas have stronger angle-dependence for the O-mode photons than the X-mode photons

and most O-mode photons decouple than X-mode photons at more outer layer.

slide22
In the cold plasma assumption the refractive index is

Θ is the angle between the magnetic field and the direction of intensity.

+ is O-mode; - is X-mode

slide23
Resonance frequency

( It is dependent on θ.)

Cutoff frequency

(It is independent of θ)

slide24
ωp

ωc

ωL

ωp

ωR

slide32
We define an angle-average optical depth:

where i=1 for O-mode photons and i=2 for X-mode photons.

slide48
ωR

ωC

slide55
^__^

Thank you…………….

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