  A Coherent Perfect Absorber (CPA) exploits the interferometric nature of
light to deposit all of a light field's incident energy into an otherwise
weakly absorbing sample. The downside of this concept is that the necessary
destructive interference in CPAs gets easily destroyed both by spectrally or
spatially detuning the incoming light field. Each of these two limitations has
recently been overcome by insights from exceptional-point physics and by using
a degenerate cavity, respectively. Here, we show how these two concepts can be
combined into a new type of cavity design, which allows broadband
exceptional-point absorption of arbitrary wavefronts. We present two possible
implementations of such a Massively Degenerate Exceptional-Point absorber and
compare analytical results with numerical simulations.
