suman majumdar centre for theoretical studies iit kharagpur detectability of anisotropic hii bubbles...
TRANSCRIPT
![Page 1: Suman Majumdar Centre For Theoretical Studies IIT Kharagpur Detectability of Anisotropic HII Bubbles using Matched Filter Technique](https://reader035.vdocument.in/reader035/viewer/2022062720/56649f165503460f94c2c6da/html5/thumbnails/1.jpg)
Suman Majumdar
Centre For Theoretical StudiesIIT Kharagpur
Detectability of Anisotropic HII Bubbles using Matched
Filter Technique
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Somnath Bharadwaj
Tirthankar Roy
Choudhury
Kanan Kumar Datta
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Image credit: NASA/STScI
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A Simple Model
Uniform HI
Medium
Perfectly Spherical HII Bubble
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Realistic Model
HII bubble can be anisotropic in shape, due to ----
• HI density fluctuation outside,• Anisotropic emission from QSO/source, ……
Non-uniform HI
Distribution
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OBSERVER
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Shapiro, P. R., & Giroux, M. L. 1987, ApJL, 321L, 107S
Photon Emission
Rate
Recombination Rate
Growth Equation
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OBSERVER
QSO
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OBSERVER
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OBSERVER
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OBSERVER
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OBSERVER
OBSERVER
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OBSERVER
OBSERVER
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OBSERVER
OBSERVER
Yu, Q. 2005, ApJ, 623, 683
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HI 21 cm radiation
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Radio Interferometry “Visibilit
y”
Signal is ~1,00,000 & ~100 times smaller than foregrounds & 100 hrs noise !!!
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Matched Filter & Spherical HII Bubble
Ionized Hydrogen
(HII)
Neutral Hydrogen (HI)
Spherical Filter
Datta, K. K., Bharadwaj, S., & Choudhury, T. R., 2007,MNRAS, 382, 109
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Matched Filter & Spherical HII Bubble
Ionized Hydrogen
(HII)
Neutral Hydrogen (HI)
Spherical Filter
Datta, K. K., Bharadwaj, S., & Choudhury, T. R., 2007,MNRAS, 382, 109
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Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .
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Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .o Effect is along the line of sight (LOS) of the
observer
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Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .
o Effect is along the line of sight (LOS) of the
observer
o Apparent shapes are symmetric about the
LOS axis
![Page 24: Suman Majumdar Centre For Theoretical Studies IIT Kharagpur Detectability of Anisotropic HII Bubbles using Matched Filter Technique](https://reader035.vdocument.in/reader035/viewer/2022062720/56649f165503460f94c2c6da/html5/thumbnails/24.jpg)
Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .
o Effect is along the line of sight (LOS) of the
observer
o Apparent shapes are symmetric about the
LOS axis
o Cross section of these apparent shapes are
circular
![Page 25: Suman Majumdar Centre For Theoretical Studies IIT Kharagpur Detectability of Anisotropic HII Bubbles using Matched Filter Technique](https://reader035.vdocument.in/reader035/viewer/2022062720/56649f165503460f94c2c6da/html5/thumbnails/25.jpg)
Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .
o Effect is along the line of sight (LOS) of the
observer
o Apparent shapes are symmetric about the
LOS axis
o Cross section of these apparent shapes are
circular
![Page 26: Suman Majumdar Centre For Theoretical Studies IIT Kharagpur Detectability of Anisotropic HII Bubbles using Matched Filter Technique](https://reader035.vdocument.in/reader035/viewer/2022062720/56649f165503460f94c2c6da/html5/thumbnails/26.jpg)
Matched Filter Technique & Finite Light Travel Time Effect
on HII BubbleTo check the detectability of these apparently anisotropic shaped bubbles using matched filter technique .
o Effect is along the line of sight (LOS) of the
observer
o Apparent shapes are symmetric about the
LOS axis
o Cross section of these apparent shapes are
circular
o We will use spherical filters
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Growth of Bubbles & Shape Parameters
Yu, Q. 2005, ApJ, 623, 683
Two Models of Photon Emission Rate ----
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Growth of Bubbles & Shape ParametersSolution for Model (i):-
Solution for Model (ii):-
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Model (ii)
Model (i)
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Growth of Bubbles & Shape ParametersFor Model (i)
For Model (ii)
Yu, Q. 2005, ApJ, 623, 683
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QSO & Bubble Parameters
We assume QSO is sitting at redshift
Corresponding HI 21cm redshifted frequency
This is the optimum redshift for bubble detection using GMRT Datta, K. K., Bharadwaj, S., & Choudhury, T. R., 2009, MNRAS.tempL, 307D
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Bubble Parameters
For Models (i) & (ii)
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R_maxR_max
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Search with Spherical Filters
Search Parameters:--
o Radius of the filter
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Search with Spherical Filters
Search Parameters:--
o Radius of the filter
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Search with Spherical Filters
Search Parameters:--
o Radius of the filter
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Search with Spherical FiltersSearch Parameters:--
o Radius of the filter
o We assume sky plane position coordinates QSO is known, so we vary redshift or frequency of filter centre.
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Search with Spherical FiltersSearch Parameters:--
o Radius of the filter
o We assume sky plane position coordinates of QSO is known, so we vary redshift or frequency of filter centre.
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Search with Spherical FiltersSearch Parameters:--
o Radius of the filter
o We assume sky plane position coordinates of QSO is known, so we vary redshift or frequency of filter centre.
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Search with Spherical FiltersSearch Parameters:--
o Radius of the filtero We assume sky plane position coordinates of QSO is known, so we vary redshift or frequency of filter centre.SNR maximum => Best Match
& Maximim SNR>3 => 3-sigma detection is
possible
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Search with Spherical FiltersSearch Parameters:--
o Radius of the filtero We assume sky plane position coordinates of QSO is known, so we vary redshift or frequency of filter centre.SNR maximum => Best Match
& Maximim SNR>3 => 3-sigma detection is
possible
We consider 1000 hrs of observation with GMRT
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QSO
Filter
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Comparison with Spherical Bubble
SNR
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Conclusions 3-sigma detection of growing HII bubbles with apparent anisotropic shape is possible using matched filter technique, with spherical filters.
Magnitude of SNR for best matched filter is below than that of an exact spherical bubble.
Best matched filter radius is comparable with the max. cross sectional radius of the bubble.
There is a difference between the best matched filter centre’s frequency coordinate & QSO’s frequency coordinate, in almost all cases.
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Thank You
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Baseline Distribution Function
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Baseline Distribution Function
Datta, K. K., Bharadwaj, S., & Choudhury, T. R., 2007,MNRAS, 382, 109
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Comparison with Spherical Bubble
Estimator