Reverberation mapping

Reverberation mapping (or Echo mapping) is an astrophysical technique for measuring the structure of the broad-line region (BLR) around a supermassive black hole at the center of an active galaxy, and thus estimating the hole's mass.

is related by the formula to the RMS velocity ΔV of gas moving near the black hole in the broad emission-line region, measured from the Doppler broadening of the gaseous emission lines.

In this formula, RBLR is the radius of the broad-line region; G is the constant of gravitation; and f is a poorly known "form factor" that depends on the shape of the BLR.

[2] It utilizes the fact that the emission-line fluxes vary strongly in response to changes in the continuum, i.e., the light from the accretion disk near the black hole.

[1] When f is determined in this way, reverberation mapping becomes a "secondary", rather than "primary", mass estimation technique.

Animation of the principle behind reverberation mapping (or echo mapping). Light from the accretion disk around a supermassive black hole is scattered off the surrounding broad line region , causing a delayed echo at redder wavelengths.