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EMRI Frequency Domain Waveforms

This folder contains the scripts to reproduce the Frequency Domain EMRI Waveform analysis presented in Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain. In Tutorial_FrequencyDomain_Waveforms.ipynb you can find how to generate the Frequency Domain (FD) waveforms and compare them to the Time Domain (TD) ones as in the following figure:

time domain VS frequency domain

The Frequency Domain implementation is now part of the package Fast EMRI Waveforms (arxiv.org/2104.04582, arxiv.org/2008.06071). To run the scripts contained in this folder it is necessary to install the Fast EMRI Waveforms package available here. You also need to install the codes in: LISAanalysistools and Eryn by running python setup.py install inside each folder.

The analysis presented in Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain can be reproduced using the scripts:

  • emri_pe.py: runs an MCMC analysis of an EMRI source. Usage:
    python emri_pe.py -Tobs 2.0 -M 1e6 -mu 10.0 -p0 12.0 -e0 0.35 -dev 7 -eps 1e-2 -dt 10.0 -injectFD 1 -template fd -nwalkers 16 -ntemps 1 -downsample 100
    
  • check_mode_by_mode.py: scans the EMRI parameter space and compares the accuracy and performance of the time and frequency domain models. Usage:
    python check_mode_by_mode.py -Tobs 1.0 -dev 5 -eps 1e-2 -dt 10.0 -fixed_insp 1 -nsteps 10
    
  • Tutorial_FrequencyDomain_Waveforms.ipynb: describes the usage of the frequency domain waveform and compares it with the time domain
  • Tutorial_FD_construction_single_mode.ipynb: describes the construction of the frequency domain waveform for a single harmonic

Authors

  • Lorenzo Speri
  • Michael Katz
  • Alvin J. K. Chua
  • Scott A. Hughes
  • Niels Warburton
  • Jonathan E. Thompson
  • Christian E. A. Chapman-Bird
  • Jonathan R. Gair

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