What diagnostic technique allows astronomers to map the geometry of the pre-ejected material over several years for SN 1987A?

Answer

Tracking the time delay of brightening events as the shockwave crosses fixed material locations.

Since the pre-ejected material is stationary relative to the star's center and the shockwave moves outward, the time delay between when the shock reaches different parts of the material creates a sequence of brightening events that maps the material's geometry.

What diagnostic technique allows astronomers to map the geometry of the pre-ejected material over several years for SN 1987A?
starsexpansionastrophysicssupernova remnantsshock waves