01.09.2014 Views

Project Cyclops, A Design... - Department of Earth and Planetary ...

Project Cyclops, A Design... - Department of Earth and Planetary ...

Project Cyclops, A Design... - Department of Earth and Planetary ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

SHADOWED<br />

AREA<br />

SHADOWED<br />

AREA<br />

//<br />

//<br />

/<br />

/<br />

/<br />

ROT T TLE<br />

/<br />

f<br />

FOCAL<br />

POINT<br />

\<br />

/<br />

\<br />

/<br />

X<br />

\<br />

\<br />

/<br />

/<br />

/<br />

Figure 9-5a. Rotating turret for axial feeds.<br />

Figure<br />

/ - )\<br />

9-5b.<br />

"x,_<br />

'\ /<br />

FOCAL/<br />

PO, y/<br />

ROTATABLE<br />

X<br />

\<br />

\<br />

/<br />

/<br />

/<br />

TURRET<br />

Ro taring turret for <strong>of</strong>f-axis ]beds.<br />

Second, large feed horns that illuminate the secondary<br />

rather uniformly with little spill can be used<br />

without increasing the total shadowing. These large feed<br />

horns have lower response at large <strong>of</strong>f-axis angles than<br />

the smaller horns that would be needed at the prime<br />

focus to cover the wide subtended angles <strong>of</strong> the primary<br />

mirror. This reduces the sensitivity <strong>of</strong> the system to local<br />

interference picked up directly by the feed.<br />

Third, the feed-horn spillover at the secondary is<br />

directed at the sky so radiation received past the rim <strong>of</strong><br />

the secondary comes from the sky rather than from the<br />

(hot) ground. Feed-horn spillover thus causes far less<br />

elevation <strong>of</strong> the antenna temperature than in a prime<br />

focus feed.<br />

Fourth, in a large antenna, the secondary can be<br />

many many wavelengths in diameter <strong>and</strong> can thus<br />

produce a sharper edged illumination pattern on the<br />

primary mirror than a small horn. This allows the ground<br />

spill to be reduced or a more uniform primary illumination<br />

to be realized, or both.<br />

Finally, a Cassegrainian system having a magnification<br />

rn allows an f/d ratio l/m times as large to be used for<br />

the main reflector for a given feed-horn pattern. (See<br />

Appendix I.) This larger ratio greatly reduces the length<br />

<strong>of</strong> the legs <strong>of</strong> the supporting tripod or tetrapod, which in<br />

turn permits a smaller cross section with reduced<br />

shadowing. In fact, with a primary f/d ratio <strong>of</strong> 114 or<br />

less, one might consider supporting the secondary mirror<br />

with tension members only.<br />

If an isotropic radiator is placed at the prime focus <strong>of</strong><br />

a paraboloid or at the secondary focus in a Cassegrainian<br />

system, the intensity <strong>of</strong> illumination <strong>of</strong> the primary<br />

reflector falls <strong>of</strong>f as<br />

SHADOWED<br />

AREA<br />

//<br />

/<br />

/<br />

//<br />

/<br />

/ \<br />

]\<br />

i \<br />

@ I- I_ i<br />

IUI2 I o<br />

IUol _<br />

-<br />

Io<br />

- cos 4-<br />

2<br />

(13)<br />

where 0 is the angle subtended at the feed horn by the<br />

ray considered. This ray strikes the primary reflector at a<br />

radius<br />

[<br />

:\<br />

\<br />

x<br />

\<br />

I<br />

Figure 9-5c.<br />

6 )<br />

5 /<br />

MOVABLE i /<br />

TURRET /<br />

IOmeters<br />

XYdisp_ceablereceiverturretfor<br />

]Oeds.<br />

on-axis<br />

0<br />

P = 2mftan m<br />

2<br />

(14)<br />

where f is the focal length <strong>of</strong> the main reflector <strong>and</strong> m is<br />

the magnification <strong>of</strong> the secondary mirror (Appendix I).<br />

If 00 is the angle that the marginal rays subtend at the<br />

feed horn, we see from equation (14) that<br />

Oo d<br />

tan<br />

2<br />

-<br />

4mr<br />

(15)<br />

91

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!