A Coordinate Transformation Method for Diffraction Gratings in Conical Mountings

Phase and Amplitude Behaviour in Conical Diffraction Near the Resonant Excitation of Surface Plasmons

“…The following numerical results were obtained using the rigorous method presented in [13] . First, we give calculations for a cycloidal grating made of silver (v = 8 112 = 0 .…”

“…This expression refers to the total intensity in the nth diffracted order, but if we are interested in studying polarization conversion, we need to separate r" into contributions corresponding to two orthogonal polarization states . To do so, first we note that the electric field vector of the nth reflected order can be obtained as [13] R . A .…”

“…To further investigate the enhancements in the change of polarization owing to resonant excitation of surface plasmons in conical diffraction, rigorous theoretical methods [3,6,13] are used here for calculating the distribution of power between the s and p components and the relative phase between these components in the specularity reflected order . Since [13] deals only with diffracted efficiencies without addressing phases nor distribution of power into polarization components, the calculation of these quantities in the framework of the formalism described in [13] is sketched in section 2 .…”

“…In the formalism presented in [13], all the fields are obtained from the knowledge of the components along the grating grooves of the electric and magnetic diffracted fields . These quantities admit the following Rayleigh expansions in the region y > max g (x) and the sign in the square root for fin is chosen as to satisfy radiation conditions at y -4 -.…”

“…Since [13] deals only with diffracted efficiencies without addressing phases nor distribution of power into polarization components, the calculation of these quantities in the framework of the formalism described in [13] is sketched in section 2 . In section 3, apart from calculating the efficiency of conversion, the efficiency of the co-polarized component and the relative phase when the grating is illuminated by p-polarized wave (the conditions of [2]), we also give calculations for the analogous quantities when the grating is illuminated under the same conditions except for the incident polarization that is changed from p to s .…”