Unveiling Galactic Excess in Gravitational-Wave Bursts

 
 
 
 
Searching for Signs of a Galactic
Excess of Gravitational-Wave
Bursts
 
Serena Moseley
Mentor: Tom Callister
LIGO SURF 2018
 
 
 
 
2
 
Outline
 
Galactic Gravitational-Wave Bursts
Project Details
Sky Localization and Skymaps
Simulating and Processing Data
Results
 
 
 
 
Our Galaxy in the EM Spectrum
 
3
 
 
 
 
4
 
A Galactic Excess
 
White dwarf binary systems
Radiate at frequencies too low for current detectors
 
 
 
 
5
 
Gravitational-Wave Bursts
 
Transient event
Unknown source
Supernovae,
glitching neutron
stars
Unmodeled search
 
 
 
 
6
 
Project Motivation
 
Is there a galactic source of gravitational waves
radiating in the LIGO frequency band?
How can we detect it?
How can we identify the source of an unknown
burst signal?
Knowing whether origins are galactic or not will help
 
 
 
 
7
 
Project Description
 
Create two sets of simulated events
Isotropic and galactic
Inject our two sets into Bayeswave and recover
individual injections’ sky distributions
For each set, look at the overall population’s
distribution and determine if we can tell the
difference between our two recovered populations
 
 
 
 
Skymap: Individual Injection
 
8
 
 
 
 
9
 
Sky Localizations
 
Time delay between the signal’s arrival
Relative amplitude in detectors
Different orientations
 
 
 
 
Injected Signal
 
10
 
 
 
 
Injection Sets
 
11
 
2 sets: isotropic and galactic sky distribution
Generated 2000 random sky locations according to
given distribution model
Created simulated GW burst events associated with
each generated location
Sine-Gaussian signals, low quality factor
2000 injections, total duration spanning the length
of a sidereal day
 
 
 
 
Galactic Distribution Model
 
12
 
Empirical stellar number density function:
 
Galactic bulge
 
Galactic thin disk
 
Galactic thick disk
 
 
 
 
Galactic Distribution
 
13
 
 
 
 
Galactic Distribution - HEALPix
 
14
 
Equal area bins - pixels
 
 
 
 
15
 
Data Processing
 
Must combine the individual distributions of both
the isotropic and galactic injections into a
composite map of each population’s overall sky
distribution
 
 
 
 
16
 
Maximum Pixel Probability
 
In each injection’s HEALPix map, determine the
pixel with the most probability
Assume the signal did come from that pixel and add
value to the corresponding pixel in the overall map
 
 
 
 
 
17
 
Maximum Pixel Probability
 
 
Isotropic
 
Galactic
 
 
 
 
18
 
Averaging the Maps
 
Normalize each individual injection’s HEALPix map
Sum all the 2000 individual injection’s values at
every pixel and scale up by some factor
 
 
 
 
 
19
 
Averaging the Maps
 
 
Isotropic
 
Galactic
 
 
 
 
Antenna Pattern
 
20
 
 
 
 
Antenna Pattern
 
21
 
 
 
 
22
 
Conclusion
 
Goal: to develop a method of mapping the sky
distribution of a population of unmodeled
gravitational-wave bursts and be able to distinguish
galactic set
In our resultant skymaps, we can clearly see a
difference between the recovered isotropic and
galactic sets
 
 
 
 
23
 
Future Work
 
Removing potential antenna pattern effects
Factoring in Virgo
Processing using a sampling algorithm with a high
resolution
Taking glitches and noise into consideration
Using O1, O2 data
 
 
 
 
24
 
Acknowledgements
 
Tom
LIGO SURF Program
The NSF
LIGO Data Grid!
 
 
 
 
25
 
References
 
 
 
 
 
Back-up slides
 
 
 
 
 
Equatorial Coordinates
 
27
 
 
 
 
 
28
 
Multinest
 
More correct, but computationally intensive
 
c: fraction of events coming from a specific direction
d: skymap
P: set of pixel heights for each map
Gives the probability of a certain c, given the
skymaps we have for our two injection sets
 
 
 
 
 
29
 
Multinest - Isotropic
 
 
 
 
 
30
 
Multinest - Galactic
 
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Investigate the presence of a galactic source emitting gravitational waves within the LIGO frequency range and develop techniques to detect and identify these signals. Employ simulations to differentiate between isotropic and galactic event distributions, aiming to enhance our understanding of the origins of unknown burst signals.

  • Galactic Excess
  • Gravitational Waves
  • LIGO Project
  • Astronomical Research
  • Data Analysis

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  1. Searching for Signs of a Galactic Excess of Gravitational-Wave Bursts Serena Moseley Mentor: Tom Callister LIGO SURF 2018 LIGO-T1800281v2

  2. Outline Galactic Gravitational-Wave Bursts Project Details Sky Localization and Skymaps Simulating and Processing Data Results LIGO-T1800281v2 2

  3. Our Galaxy in the EM Spectrum LIGO-T1800281v2 3

  4. A Galactic Excess White dwarf binary systems Radiate at frequencies too low for current detectors LIGO-T1800281v2 4

  5. Gravitational-Wave Bursts Transient event Unknown source Supernovae, glitching neutron stars Unmodeled search Strain Duration (s) LIGO-T1800281v2 5

  6. Project Motivation Is there a galactic source of gravitational waves radiating in the LIGO frequency band? How can we detect it? How can we identify the source of an unknown burst signal? Knowing whether origins are galactic or not will help LIGO-T1800281v2 6

  7. Project Description Create two sets of simulated events Isotropic and galactic Inject our two sets into Bayeswave and recover individual injections sky distributions For each set, look at the overall population s distribution and determine if we can tell the difference between our two recovered populations LIGO-T1800281v2 7

  8. Skymap: Individual Injection Dec RA LIGO-T1800281v2 8

  9. Sky Localizations Time delay between the signal s arrival Relative amplitude in detectors Different orientations LIGO-T1800281v2 9

  10. Injected Signal LIGO-T1800281v2 10

  11. Injection Sets 2 sets: isotropic and galactic sky distribution Generated 2000 random sky locations according to given distribution model Created simulated GW burst events associated with each generated location Sine-Gaussian signals, low quality factor 2000 injections, total duration spanning the length of a sidereal day LIGO-T1800281v2 11

  12. Galactic Distribution Model Empirical stellar number density function: Galactic bulge Galactic thick disk Galactic thin disk LIGO-T1800281v2 12

  13. Galactic Distribution LIGO-T1800281v2 13

  14. Galactic Distribution - HEALPix Equal area bins - pixels LIGO-T1800281v2 14

  15. Data Processing Recover probability distributions for each injection s sky location Generated 2000 random sky locations based on model Created bursts for each location Inject into Bayeswave Must combine the individual distributions of both the isotropic and galactic injections into a composite map of each population s overall sky distribution LIGO-T1800281v2 15

  16. Maximum Pixel Probability In each injection s HEALPix map, determine the pixel with the most probability Assume the signal did come from that pixel and add value to the corresponding pixel in the overall map LIGO-T1800281v2 16

  17. Maximum Pixel Probability Isotropic Galactic LIGO-T1800281v2 17

  18. Averaging the Maps Normalize each individual injection s HEALPix map Sum all the 2000 individual injection s values at every pixel and scale up by some factor LIGO-T1800281v2 18

  19. Averaging the Maps Isotropic Galactic LIGO-T1800281v2 19

  20. Antenna Pattern LIGO-T1800281v2 20

  21. Antenna Pattern LIGO-T1800281v2 21

  22. Conclusion Goal: to develop a method of mapping the sky distribution of a population of unmodeled gravitational-wave bursts and be able to distinguish galactic set In our resultant skymaps, we can clearly see a difference between the recovered isotropic and galactic sets LIGO-T1800281v2 22

  23. Future Work Removing potential antenna pattern effects Factoring in Virgo Processing using a sampling algorithm with a high resolution Taking glitches and noise into consideration Using O1, O2 data LIGO-T1800281v2 23

  24. Acknowledgements Tom LIGO SURF Program The NSF LIGO Data Grid! LIGO-T1800281v2 24

  25. References LIGO-T1800281v2 25

  26. Back-up slides LIGO-T1800281v2

  27. Equatorial Coordinates LIGO-T1800281v2 27

  28. Multinest More correct, but computationally intensive c: fraction of events coming from a specific direction d: skymap P: set of pixel heights for each map Gives the probability of a certain c, given the skymaps we have for our two injection sets LIGO-T1800281v2 28

  29. Multinest - Isotropic LIGO-T1800281v2 29

  30. Multinest - Galactic LIGO-T1800281v2 30

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