  Realization of the anomalous refraction effects predicted by Huygens'
metasurfaces (HMS) have required tedious and time-consuming trial-and-error
numerical full-wave computations. It is shown herein that these requirements
can be alleviated for transverse magnetic (TM) propagation by a periodic
dielectric-based HMS consisting of an electrically thick array of cascaded
Fabry-P\'erot etalons. This "Fabry-P\'erot HMS" (FP-HMS) is easily designed to
mimic the local scattering coefficients of a standard zero-thickness HMS
(ZT-HMS) which, according to homogenization theory, should result in the
desired anomalous refraction. To probe the characteristics of this practical
FP-HMS, a method based on Floquet-Bloch (FB) analysis is derived for predicting
the fields scattered from it for arbitrary angles of incidence. This method
produces simple closed-form solutions for the FB wave amplitudes and the
resulting fields are shown to agree well with full-wave simulations. These
predictions and full-wave simulations verify the applicability of
homogenization and scattering properties of zero-thickness HMS's to thick
structures. They also verify the proposed semi-analytical microscopic design
procedure for such structures, offering an effective alternative path to
implementation of theoretically envisioned intricate field manipulating
devices.
