Difference between revisions of "Primary anisotropy of CMB"

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[[Category:Cosmic Microwave Background (CMB)|4]]
 
[[Category:Cosmic Microwave Background (CMB)|4]]
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=Primary anisotropy of CMB=
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<div id="cmb24"></div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 1 ===
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Determine the size of the sound horizon on the last scattering surface.
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  <div class="NavHead">solution</div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 2 ===
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Determine the radius of the surface of last scattering.
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  <div class="NavHead">solution</div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 3 ===
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Estimate the thickness of the layer of last scattering.
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  <div class="NavHead">solution</div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 4 ===
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Determine the position of the first acoustic peak in the CMB power spectrum produced by baryon oscillations on the surface of last scattering in the Einstein-de Sitter Universe.
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  <div class="NavHead">solution</div>
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    <p style="text-align: left;"></p>
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=== Problem 5 ===
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Propose a scheme to use acoustic oscillations of CMB for the determination of geometry of the Universe.
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  <div class="NavHead">solution</div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 6 ===
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Find relative perturbation in the CMB temperature due to the Doppler effect.
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  <div class="NavHead">solution</div>
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=== Problem 7 ===
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Find relation between the relative perturbation in the CMB temperature and that of matter density for the case of adiabatic potential perturbations.
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  <div class="NavHead">solution</div>
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  <div style="width:100%;" class="NavContent">
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    <p style="text-align: left;"></p>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 8 ===
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How perturbations of gravitational potential affect the perturbations of the CMB temperature?
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  <div class="NavHead">solution</div>
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<div style="border: 1px solid #AAA; padding:5px;">
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=== Problem 9 ===
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How perturbations of gravitational potential affect the perturbations of the CMB temperature?
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<div class="NavFrame collapsed">
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  <div class="NavHead">solution</div>
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  <div style="width:100%;" class="NavContent">
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=== Problem 10 ===
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Find mean square variation of the CMB temperature due to the potential perturbations (see problems [[#cmb_lss1|1]], [[#cmb_lss2|2]], [[#cmb_lss3|3]]).
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  <div class="NavHead">solution</div>
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=== Problem 11 ===
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Estimate angular resolution of CMB anisotropy measurements required to detect the seeds of large scale structures in form of density fluctuations on the last scattering surface.
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<div class="NavFrame collapsed">
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  <div class="NavHead">solution</div>
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  <div style="width:100%;" class="NavContent">
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    <p style="text-align: left;"></p>
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  </div>
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</div></div>

Latest revision as of 20:55, 1 October 2012



Problem 1

Determine the size of the sound horizon on the last scattering surface.


Problem 2

Determine the radius of the surface of last scattering.


Problem 3

Estimate the thickness of the layer of last scattering.


Problem 4

Determine the position of the first acoustic peak in the CMB power spectrum produced by baryon oscillations on the surface of last scattering in the Einstein-de Sitter Universe.


Problem 5

Propose a scheme to use acoustic oscillations of CMB for the determination of geometry of the Universe.


Problem 6

Find relative perturbation in the CMB temperature due to the Doppler effect.


Problem 7

Find relation between the relative perturbation in the CMB temperature and that of matter density for the case of adiabatic potential perturbations.


Problem 8

How perturbations of gravitational potential affect the perturbations of the CMB temperature?


Problem 9

How perturbations of gravitational potential affect the perturbations of the CMB temperature?


Problem 10

Find mean square variation of the CMB temperature due to the potential perturbations (see problems 1, 2, 3).


Problem 11

Estimate angular resolution of CMB anisotropy measurements required to detect the seeds of large scale structures in form of density fluctuations on the last scattering surface.

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