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7. Sensitivity to viewing angle

 

7.1. `Reflection' models

 

The phase dependence of the photospheric scattering was first examined by using the reference-model parameters but with no stellar wind. These models (in common with those reported by Schmid 1992) have all Raman photons produced at the red-giant surface. The polarization,
equation802
and integrated line intensities,
equation806
were measured for models with binary separations of tex2html_wrap_inline3570, 5, and 10, at viewing angles ranging between 0tex2html_wrap_inline3572 and 180tex2html_wrap_inline3574. Plots of the line polarizations and intensities against viewing angle are given in Fig. 11 (click here).

As expected, the line intensity is a maximum at tex2html_wrap_inline3576, the system then being viewed along the line of centres with the OVI source `in front'. As the viewing angle increases the scattered intensity decreases, principally because of the decreasing area of the scattering surface which is visible. No counts are observed at viewing angles
equation812
as the scattering surface is then totally occulted by the stellar disk.

The polarization also follows the expected pattern. At tex2html_wrap_inline3580 the line polarization is zero, to within the model errors. As the viewing angle approaches tex2html_wrap_inline3582 the polarization reaches a maximum, and then returns to zero. The viewing angle for maximum polarization is noticeably less than 90tex2html_wrap_inline3584 for the tex2html_wrap_inline3586, a characteristic also noted by Schmid (1992). This because the polarization maximum occurs when the bulk of the photons are scattered through an angle of tex2html_wrap_inline3588, and when the source is close to the photosphere this situation occurs at viewing angles of less than tex2html_wrap_inline3590.

7.2. Wind models

 

Raman-line profiles were computed for a range of viewing angles tex2html_wrap_inline3592 for the reference model and the ionized-wind models. The orbital dependence of the integrated line properties are shown in Fig. 11 (click here), and the polarization spectra for the reference model shown in Fig. 12 (click here).

The density structure of the wind in these models means that very little scattering occurs in the photosphere, and the bulk of the Raman-line flux is produced within one binary separation of the photon source (see Fig. 4 (click here)). The phase dependence of the line polarization in the wind models resembles that of the photospheric-scattering models, with the polarization maximum occuring near tex2html_wrap_inline3594, but the extent of the Raman-scattering region means that the simple reflection-like dependence of the Raman line intensity on phase is lost. In fact, the Raman-line strength and shape is almost constant as a function of phase, although the polarized intensity is more variable.

Schmutz et al. (1994) and Harries & Howarth (1996a) remark on the near-constancy of the tex2html_wrap_inline35966825 intensity profile of SY Mus with orbital phase, while Harries & Howarth note that this is accompanied by significant changes in its polarized-intensity profile. The models shown in Fig. 12 (click here) share these characteristics, and offer a simple qualitative explanation for them: the extent of the scattering region is sufficiently large that the occultation effect of the red giant is relatively minor, while the changing parent-scatterer-observer angle directly influences the degree of polarization.

7.3. Orbital dependence of PA

In the preceding sections, the orbital dependence of the lines was investigated by varying the angle tex2html_wrap_inline3598. As already stressed, our models - and any model with `up-down' symmetry - can only generate position angles of 90tex2html_wrap_inline3600 and 0/180tex2html_wrap_inline3602; but, of course, in practice other (orthogonal pairs of) position angles can be generated simply by rotating the observer's reference frame about the line of sight to the system, with tex2html_wrap_inline3604 fixed. We make this point explicitly so as to avoid any possible misinterpretation of the discussion in Sects. 7.1 (click here)7.2 (click here), but also to emphasize that measurements of polarization position angle provide a straightforward diagnostic of the relative positions of the binary components. The importance of this result is that observed changes in the polarization spectra of symbiotic systems (or other systems in which the source of polarization is scattering of light from one star in the atmosphere of the other) provide a useful diagnostic of orbital parameters, as discussed in more detail by Harries & Howarth (1996a).


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