We compute the profiles of resonance doublet lines ( S _ { 1 / 2 } - P _ { 1 / 2 , 3 / 2 } ) formed in bipolar winds with velocity greater than the doublet separation in symbiotic stars .
Particular attention has been paid on the doublet line ratio , where an essential role is played by the conversion of the short wavelength component arising from the S _ { 1 / 2 } - P _ { 3 / 2 } transition into the long wavelength component for the transition S _ { 1 / 2 } - P _ { 1 / 2 } .
We adopted a Monte Carlo technique and the Sobolev approximation .
Our bipolar winds take the form of a cone and are characterized by the terminal wind velocity , the mass loss rate and the opening angle of the cone .
When an observer is in the polar direction and the Sobolev optical depth \tau _ { Sob } \simeq 1 , we mainly obtain profiles with inverted flux line ratios , where the short wavelength component is weaker than the long wavelength component .
When an observer is in the equatorial direction , we find that the profiles are characterized by two broad components , where the long wavelength component is the broader and stronger of the two .
We conclude that the profiles obtained in our model provide a qualitative understanding of broad profiles and inverted intensity ratios of the doublets in symbiotic stars .