  We investigate the wave optical imaging of black holes with Hawking
radiation. The spatial correlation function of Hawking radiation is expressed
in terms of transmission and reflection coefficients for scalar wave modes and
evaluated by numerically summing over angular quantum numbers for the
Unruh-Hawking state of the Kerr-de Sitter black hole. Then, wave optical images
of an evaporating black hole are obtained by the Fourier transformation of the
spatial correlation function. For short wavelength, the image of the black hole
with the outgoing mode of the Unruh-Hawking state has the appearance of a star
with its surface given by the photon sphere. It is found that interference
between incoming modes from the cosmological horizon and reflected modes due to
the scattering of the black hole can enhance brightness of images in the
vicinity of the photon sphere. For a long wavelength, the entire field of view
is bright, and the emission region of Hawking radiation cannot be identified.
