W. Nasalski, LONGITUDINAL AND TRANSVERSE EFFECTS OF NONSPECULAR REFLECTION, Journal of the Optical Society of America. A, Optics, image science,and vision., 13(1), 1996, pp. 172-181
A rigorous spectral analysis is given for the nonspecular reflection o
f a three-dimensional Gaussian beam at a dielectric isotropic planar s
tructure. For the first time all independent nonspecular effects are d
erived in a self-consistent manner for the three-dimensional case. It
is shown that the longitudinal nonspecular effects in the incidence pl
ane, that is, the lateral and focal shifts of the beam waist position,
the angular rotation of the reflected-beam axis, and the modification
s of the beam waist width and complex amplitude, have their direct ana
logies in the plane transverse to the incidence and interface planes t
hat gives transverse nonspecular effects. Moreover, the existence of t
he other, not yet reported, effect of nonspecular modification of the
beam polarization is also proved. A role for TM and TE polarizations i
n reflected-beam formation is indicated. The results show that, up to
the symmetric second-order terms in approximation of Fresnel coefficie
nts, each of the longitudinal and transverse beam factors independentl
y preserves its shape under reflection at the expense of changes of th
e beam reference frame, width, amplitude, and polarization parameters.
(C) 1996 Optical Society of America