Study of a reflection grating used in Littrow mount

Abstract

The near and far fields of a finite conductivity metallic grating with symmetrical triangular facets, used in Littrow mount, are studied. A new Green's function approach, based on the Hertz vector, is introduced and used to propagate throughout a two-dimensional domain. The field quantity of primary interest is Poynting's vector; however, the stored power is also calculated. In assessing the fields generated by the propagator, a quasi-periodic dependence of output characteristics on the grating depth to period ratio, discussed in the literature, is also found in the present study. With a plane wave incident on the grating, geometrical relationships between the incident wave vector and the grating surfaces have interesting consequences.