  The relative permittivity dyadic of a dielectric structurally chiral material
(SCM) varies helicoidally along a fixed direction; in consequence, the SCM
exhibits the circular Bragg phenomenon, which is the
circular-polarization-selective reflection of light. The introduction of
hyperbolicity in an SCM---by making either one or two but not all three
eigenvalues of the relative permittivity dyadic acquire negative real
parts---does not eliminate the circular Bragg phenomenon, but significantly
alters the regime for its exhibition. Physical vapor deposition techniques
appear to be suitable to fabricate hyperbolic SCMs.
