frequencyDependentAntennas

This module implements an expression for the frequency-dependent antenna response functions of ground-based gravitational wave detectors.

To Do:

• develop a likelihood functional given a PSD
  • need to do this for line-of-sight coordinates (perform the conversion, then delegate to existing functions)
  • this will likely help the sampler converge much better
    • better acceptance fraction?
• plug the likelihood into emcee or an equivalent to sample over localization parameters
  • need to check for diagonal pp plots
  • look at autocorrelation of chains!
  • if this doesn't work, compute the Fisher matrix for localization parameters and use that
• set up injection sets and recover both with and without the frequency dependence in the antenna patterns
  • quantify the change in localization areas
  • quantify the biases associated with the omission
  • do this for single detectors as well as a few simple networks
    • aLIGO LHO + aLIGO LLO + aVirgo
    • aLIGO LHO + CE (at LLO)
    • ET + CE?
• consider how directionality and frequency dependence of anteanna patterns could affect how templated searches work
  • phase involved in antenna patterns (which are different for h+ and hx) could mean we cannot simply search for a single template?
  • this could be compounded by a directional dependence, meaning one has to perform an explicit all sky search?

References

Expressions are taken from LIGO-T060237 and Anderson, et all PhysRevD 63(04) 2003