Yes
smb, it looks so ... but I have tuned the values.
If you take a look on the shape I've drawn :
https://www.dropbox.com/s/z1zw214h456a0ew/ReflecteurParabolique.pdf
k=0.2
This ratio fits well omnidirectional sources and moreover, gives a focal point at 20mm which is convenient
- not to deep into the parabol and so, still let the beam a little omnidirectional
- easy for the design
with c=30 mm, the antenna is not too wide and deep.
But i'm pretty sure that widsurfer ez-12 will provide a good result as well.
An important thing to me is the relector which must have a clean and smooth surface (that's why I took a can of fruit juice ... but one of beer should also work :lol: )
... and sorry for this post
PVFlyer, which is out of this thread concern

There is another thread for that,
http://www.phantompilots.com/viewtopic.php?f=27&t=18157 but I was wondering about the theorical approach and the resulting SWR.
That's why I made my own one (based on my experience, by some web surfing and by other designs like "windsurfer").