Generalized Hellings-Downs function for an anisotropic electromagnetic wave background

Authors

  • Jhon Delo L. Procurato ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

In pulsar timing, the Hellings-Downs function is the overlap reduction function characterizing a pulsar system's correlated response to an isotropic and unpolarized stochastic gravitational wave (GW) background. In this paper, we will construct a generalized Hellings-Downs function for electromagnetic waves. Here instead of using pulsars we use a dipole antenna as our receiving system. Moreover, we assume that the electromagnetic wave background is unpolarized and anisotropic. The anisotropy is modeled by writing the angular part of the polarization tensor in terms of the standard spherical harmonics Ym(θ,ϕ). We find that the dipole antennas are only sensitive to (ℓ = 0, m = 0), (ℓ = 2, m = 0) and (ℓ = 2, m = ±1) modes.

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Issue

Article ID

SPP-2021-PC-17

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-10-15

How to Cite

[1]
JDL Procurato and MFIG Vega, Generalized Hellings-Downs function for an anisotropic electromagnetic wave background, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-17 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-17.