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Secondary CMB Anisotropy I: Reionization - Wayne Hu's Tutorials

Secondary CMB Anisotropy I: Reionization - Wayne Hu's Tutorials

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(2l+1)j l (100)<br />

Doppler Effect in Limber Approximation<br />

• Only fluctuations transverse to line of sight survive in Limber approx<br />

but linear Doppler effect has no contribution in this direction<br />

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observer<br />

0<br />

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j Y0 l(kd)Yl Temperature Doppler<br />

l<br />

(2l+1)j l '(100)<br />

observer<br />

l<br />

d<br />

0<br />

0<br />

j Y<br />

l(kd)Yl 1

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