Stochastic Gravitational Wave Background Mapmaking using regularized - PowerPoint PPT Presentation

Stochastic Gravitational Wave Background Mapmaking using regularized deconvolution Sambit Panda , Swetha Bhagwat , Jishnu Suresh , Sanjit Mitra

Stochastic Gravitational Wave Background individually undetectable (subthreshold) but detectable as a collectivity (PRL 120, 091101, 2018 ) via their common influence on multiple detectors (no noise) combined signal described statistically—stochastic gravitational - wave background TAUP @Toyama: September 9-13, 2019 � 2 Jishnu Suresh

Potentially detectable with advanced LIGO/Virgo Phys . Rev . D 100, 061101 (R) ( 2019 PRL 120, 091101, 2018 TAUP @Toyama: September 9-13, 2019 � 3 Jishnu Suresh

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Rev. D 100, 043541 (2019) The observed data comes in the form of signal convolved with our detector response function with some additive noise . Z D (ˆ s 2 d ˆ Ω 0 [ B + (ˆ Ω , ˆ Ω 0 ) + B ⇥ (ˆ Ω , ˆ Ω 0 )] S (ˆ Ω 0 ) + n Ω ) = B A (ˆ Ω , ˆ are the corresponding beam response functions with A = { + , × } polarizations; Ω 0 ) S (ˆ is the power in both polarizations . Ω 0 ) When this integral equation is visualized on a pixelized sky , we get the linear equations: D = B . S + n Di ffi cult to get the Maximum Likelihood solution with 
 ill - conditioned beam S = B − 1 D ˆ Regularization helps in these cases TAUP @Toyama: September 9-13, 2019 � 4 Jishnu Suresh