  Extremely anisotropic metal-dielectric multilayer metamaterials are designed
to have the effective permittivity tensor of a transverse component (parallel
to the interfaces of the multilayer) with zero real part and a longitudinal
component (normal to the interfaces of the multilayer) with ultra-large
imaginary part at the same wavelength, including the optical nonlocality
analysis based on the transfer-matrix method. The diffraction-free
deep-subwavelength optical beam propagation with near-zero phase variation in
the designed multilayer stack due to the near-flat iso-frequency contour is
demonstrated and analyzed, including the effects of the multilayer period and
the material loss.
