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The determination of primordial perturbations is a key to understand physicals information of early universe. In this way, CMB anisotropies and its polarizations can be used as media and cosmic inversion as method. In this work, we develop mathematical construction of cosmic inversion for tensor per...

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Main Author: NUGRAHA (NIM 20305003), RUKMAN
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/9167
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:9167
spelling id-itb.:91672017-09-27T14:40:14Z#TITLE_ALTERNATIVE# NUGRAHA (NIM 20305003), RUKMAN Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/9167 The determination of primordial perturbations is a key to understand physicals information of early universe. In this way, CMB anisotropies and its polarizations can be used as media and cosmic inversion as method. In this work, we develop mathematical construction of cosmic inversion for tensor perturbations.<p> <br /> <br /> <br /> In doing the construction two approximations are used, the thickness of last scattering surface is thin and small angle approximation. Because of the first approximation, within recombination, projection factor is constant and transfer function is time-integrated. Unfortunately, this makes a multipol moment approximation for CMB anisotropies is deviate from exact calculation. In the other hand, a multipol moment approximation for E-type and B-type of CMB polarization are close with exact calculation. By using small angle approximation, cosmic variance effect can be avoided. Beside that, mathematical construction for B-type of CMB polarization is simpler. Consequently, we can find a value for reconstructed primordial tensor perturbation power spectrum even at zero point of its transfer function, which suppose to oscillate.<p> <br /> <br /> <br /> Final effect of utilization of those two approximations is a reconstructed power spectrum of primordial tensor perturbation would be incorrect. To remedy this effect, an iterative method, which used for scalar perturbation, can be used. By using this technique, a correct value of reconstructed power spectrum of primordial tensor perturbation would be obtained. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description The determination of primordial perturbations is a key to understand physicals information of early universe. In this way, CMB anisotropies and its polarizations can be used as media and cosmic inversion as method. In this work, we develop mathematical construction of cosmic inversion for tensor perturbations.<p> <br /> <br /> <br /> In doing the construction two approximations are used, the thickness of last scattering surface is thin and small angle approximation. Because of the first approximation, within recombination, projection factor is constant and transfer function is time-integrated. Unfortunately, this makes a multipol moment approximation for CMB anisotropies is deviate from exact calculation. In the other hand, a multipol moment approximation for E-type and B-type of CMB polarization are close with exact calculation. By using small angle approximation, cosmic variance effect can be avoided. Beside that, mathematical construction for B-type of CMB polarization is simpler. Consequently, we can find a value for reconstructed primordial tensor perturbation power spectrum even at zero point of its transfer function, which suppose to oscillate.<p> <br /> <br /> <br /> Final effect of utilization of those two approximations is a reconstructed power spectrum of primordial tensor perturbation would be incorrect. To remedy this effect, an iterative method, which used for scalar perturbation, can be used. By using this technique, a correct value of reconstructed power spectrum of primordial tensor perturbation would be obtained.
format Theses
author NUGRAHA (NIM 20305003), RUKMAN
spellingShingle NUGRAHA (NIM 20305003), RUKMAN
#TITLE_ALTERNATIVE#
author_facet NUGRAHA (NIM 20305003), RUKMAN
author_sort NUGRAHA (NIM 20305003), RUKMAN
title #TITLE_ALTERNATIVE#
title_short #TITLE_ALTERNATIVE#
title_full #TITLE_ALTERNATIVE#
title_fullStr #TITLE_ALTERNATIVE#
title_full_unstemmed #TITLE_ALTERNATIVE#
title_sort #title_alternative#
url https://digilib.itb.ac.id/gdl/view/9167
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