[Search for users] [Overall Top Noters] [List of all Conferences] [Download this site]

Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1689.0. "satellite dish focal point" by CSC32::GLAUNER () Wed Nov 04 1992 12:13

    	Hello,
    	I have an old satellite dish and I need to know how to find
    	the focal point.  The diameter of the dish is 3',  I can use
    	a tape to find any dimension of the dish, what measurements
    	do I need to take and what equation could I use with these
    	measurements to find the focal point?
    
    	Thanks
    	Ray
T.RTitleUserPersonal
Name
DateLines
1689.1By construction.CADSYS::COOPERTopher CooperWed Nov 04 1992 13:0514
    Here's a "construction" (rather than measurement) method that occurs
    to me.

    Find the center of the dish.  Use a piece of clay and a thin dowel
    to mark the perpendicular to that point.  Now take a point on the
    rim of the dish.  Find the angle-of-incidence = angle-of-reflection
    relative to the normal, for an incoming beam parallel to your first
    point.  Extend the reflection until it intersects with the dowel.

    If the dish were perfectly formed and all your operations were exact
    then that would be the focal point.  In practice, you should repeat
    and find the center of all the intersections.

				    Topher
1689.2SSAG::LARYLaughter & hope & a sock in the eyeWed Nov 04 1992 14:4725
Another method, which does the same as .1 but without dowels:

- Put pieces of tinfoil, reflective side out, over sections of the dish,
  including the center, some sections halfway up, and sections near the edge.
  Make the tinfoil as smooth and as conformant to the dish surface as you can.

- Point the dish at the sun when it isn't obscured by clouds.

- Wave a piece of paper (on a long handle!) around near where you think the
  focus ought to be, until the paper shows as small a light spot as possible.
  If you have too little tinfoil this may be hard to make out, if you have too
  much tinfoil the paper may catch fire at the spot (which is why the long
  handle...). In any case, that spot is the focus.

- When you are installing your electronics or whatever at the focus, keep the
  tinfoil in place and use this to check your placement (with a piece of paper
  substituting for the electronics, of course!)

The nice thing about this is that even if you don't point the dish exactly at
the sun, you will get a focus point which will work if you point the dish as
far off from the radio source as you had pointed it from the sun; whereas if
the dowels in method 1 were not quite at the correct angle you could wind up
with a focus that was never optimal. If you want to correct the pointing error
you can use the fact that when the dish does point exactly at the sun the
shadow of an object at the focal point should fall on the center of the disk.
1689.33D::ROTHGeometry is the real life!Tue Nov 10 1992 12:1415
    If x is the radial distance from the axis of symmetry of the dish
    and y is the height above the base of the bowl of the dish, then

	x^2 = 4*f*y

    Measure the diameter of the dish (x = d/2) and the depth of the bowl
    (y) and plug in to get the focal distance.  That's where the phase
    center of your feedhorn should be.

    This doesn't have to be dead on since you'll usually end up tweaking
    the feedpoint anyway, but you should try and keep the feed equidistant
    from the rim of the dish to minimize sidelobes.  Unless you're at Ku
    band, that's a pretty small dish and tolerances won't be too tight.

    - Jim [former satellite TV hacker, circa 1979-82]
1689.4off center on purpose?MAST::GRUNDMANNBillFri Nov 13 1992 13:022
    I've noticed several dishes where the sensor appears to be quite a bit
    off-center. It's got to be intentional; any ideas why this is done?
1689.5STAR::ABBASINobel price winner, expected 2035Fri Nov 13 1992 13:079
    .-1

    may be the dish it self is not perfectly spherical shaped? may be
    it has more curvature on one side than the other? or something like
    that?

    just guessing offcourse..


1689.6looks symmetricalMAST::GRUNDMANNBillFri Nov 13 1992 13:124
     I'm pretty sure the dishes I've seen are symmetrical. The sensor
    appears to be about a foot below the point where I guess the focal
    point would be. There's one on the Tuck's Trucks building in Hudson,
    Mass.
1689.73D::ROTHGeometry is the real life!Fri Nov 13 1992 18:2714
>    I've noticed several dishes where the sensor appears to be quite a bit
>    off-center. It's got to be intentional; any ideas why this is done?

   Offset feeds are used to reduce feedhorn shadowing, and can also
   slightly reduce the noise temperature of the dish by making sidelobes
   aim up into the sky instead of down to the ground (which is very
   noisy compared to the sky.)  Actually this latter is not that big an
   issue at Ku band since the preamps are so noisy already, but it's
   possible to make C band LNA's with noise temps around 40 degrees K.
   That's a lot quieter than the temperature of the ground.

   Ideally, the reflector should be shaped to make this work best.

   - Jim