We present quasi-analytical solutions (QANS) of hybrid platform (HP)
comprising metallic grating (MG) and stacked-dielectric layers for terahertz
(THz) radiation. The QANS are validated by finite difference time domain
simulation. It is found that the Wood anomalies induce the high-order spoof
surface plasmon resonances in the HP. The QANS are applied to optimize new
perfect absorber for THz sensing of large-area thin film with ultrahigh figure
of merit reaching fifth order of magnitude for the film thickness 0.0001p (p:
MG period). The first-order Wood's anomaly of the insulator layer and the
Fabry-Perot in the slit's cavity account for the resonance of the perfect
absorber. The QANS and the new perfect absorber may lead to highly sensitive
and practical nano-film refractive index sensor for THz radiation