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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
- 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.
- Waves from the horn diverge as if coming from F′; after reflection from the hyperboloid they appear to come from F.
- 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.
- 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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