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Cassegrain feed for parabolic reflectors

Short answer

The Cassegrain feed places a horn at the paraboloid vertex, radiating to a hyperboloidal subreflector whose one focus is the main dish focus. The subreflector makes the wave appear to come from that focus, so the dish produces a plane wave. It allows the feed behind the dish, low noise, and a long effective focal length.

Describe the Cassegrain method of feeding parabolic reflectors.

The Cassegrain feed is a dual-reflector method of feeding a parabolic reflector in which the primary feed (horn) is placed at the vertex of the main paraboloid and radiates towards a small hyperboloidal subreflector placed in front, which reflects the energy back onto the main dish.

          main paraboloid
            )
           )      sub-reflector
          )        (hyperboloid)
         )   F'        (
  [horn]=o vertex ---> (  F = focus of paraboloid
  at F'  )   <-------- (    = one focus of hyperbola
          )             (
           )
            )
 horn feed at F' (other focus of hyperbola)

Geometry and working

  1. The hyperboloid has two foci. One focus coincides with the focus F of the paraboloid; the horn's phase centre is placed at the other focus F′, near the vertex of the main dish.
  2. Waves from the horn diverge as if coming from F′; after reflection from the hyperboloid they appear to come from F.
  3. Since they appear to come from the focus of the paraboloid, the main reflector converts them into a plane wave, forming a narrow pencil beam.
  4. The system is equivalent to a single paraboloid of much longer focal length: f_eq = M·f, with magnification M = (e + 1)/(e − 1), e = eccentricity of the hyperboloid.

Advantages

  • Feed and receiver/transmitter can be placed behind the main dish; very short waveguide, so low loss and low noise temperature.
  • Long effective focal length with a compact structure; better control of aperture illumination.
  • Feed spillover points to the cold sky instead of the warm ground, lowering noise; useful for satellite earth stations.
  • Easier maintenance of the feed and receiver.

Disadvantages

  • The subreflector and its supports block part of the aperture, so it suits only large dishes (D > ~50λ).
  • More complex, costlier and needs accurate alignment.

Applications: satellite earth stations, radio telescopes, deep-space communication, tracking radars.

✓ Answer checked by Claude Opus 5.5 (high effort)

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