About the font used by 'ps-spool-buffer-with-faces'

Suppose I set as default font (Options - Set Default Font) "Lucida 
console". The buffers are rendered in this new font. Then I do

   M-x ps-spool-buffer-with-faces

for the current buffer and save the Postscript buffer in a file, say 
foo.ps. Finally I convert this Postscript in PDF (ps2pdf).

The PDF is not rendere with Lucida console but, if I read corectly, with 
Courier New.

Is this to be expected. How can I have a PDF with the font I have set as 
default in Emacs?

Ciao,
   Angelo.