On a systematic bias in surface brightness fluctuations based distances due to gravitational microlensing

The effect of gravitational microlensing on the determination of extragalactic distances using the surface brightness fluctuations (SBF) technique is considered and a method to calculate SBF amplitudes in the presence of microlensing is presented. With a simple approximation for the magnification power spectrum at low optical depth, the correction to the SBF-based luminosity distance is calculated. The results suggest the effect can be safely neglected at present but may become important for SBF-based Hubble diagrams at luminosity distances of about 1 Gpc and beyond.