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Astronomical Optics, 2nd Edition
book

Astronomical Optics, 2nd Edition

by Daniel J. Schroeder
September 1999
Intermediate to advanced content levelIntermediate to advanced
478 pages
21h 54m
English
Academic Press
Content preview from Astronomical Optics, 2nd Edition
282 11. Transfer Functions; Hubble Space Telescope
Given a symmetric PSF and a circular aperture with a central obscuration, the
methods of Fourier transforms give the following relations between the PSF, EE,
and MTF:
7^2/1 _ e2)r)2 poo
T(v) = —^ 2"^ /(a)yo(27rva)a da, (11.1.8)
22
Jo
Q;2
nv,
PSF(a) = ^^—-^ J^ nv)/o(27rva)v dv, (11.1.9)
EE(a) = 2n(x\^ T(v)J^(2nvoc)dv, (11.1.10)
Jo
where v is the frequency in angular units, a is the angular radius of the image, and
JQ
and Ji are Bessel functions. Because v is given in angular units, the cutoff
frequency
v^
in these units is D/X. Equations (11.1.8)-(l
1.1.10)
can be written in
linear units b
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Publisher Resources

ISBN: 9780126298109