Jb. Judkins et Rw. Ziolkowski, FINITE-DIFFERENCE TIME-DOMAIN MODELING OF NONPERFECTLY CONDUCTING METALLIC THIN-FILM GRATINGS, Journal of the Optical Society of America. A, Optics, image science,and vision., 12(9), 1995, pp. 1974-1983
A simulation tool based on the finite-difference time-domain (FDTD) te
chnique is developed to model the electromagnetic interaction of a foc
used optical Gaussian beam in two dimensions incident on a simple mode
l of a corrugated dielectric surface plated with a thin film of realis
tic metal. The technique is a hybrid approach that combines an intensi
ve numerical method near the surface of the grating, which takes into
account the optical properties of metals, with a free-space transform
to obtain the radiated fields. A description of this technique is pres
ented along with numerical examples comparing gratings made with reali
stic and perfect conductors. In particular, a demonstration is given o
f an obliquely incident beam focused on a uniform grating and a normal
ly incident beam focused on a nonuniform grating. The gratings in thes
e two cases are coated with a negative-permittivity thin film, and the
scattered radiation patterns for these structures are studied. Both T
E and TM polarizations are investigated. Using this hybrid FDTD techni
que results in a complete and accurate simulation of the total electro
magnetic Geld in the near field as well as in the far field of the gra
ting. It is shown that there are significant differences in the perfor
mances of the realistic metal and the perfect metal gratings.