The inductance (L) and capacitance (Cs) of the CTSRR are calculated by applying Babinet's principle
to the TSRR elements .
In this work, we present the evaluation of the limits of validity of the numerical propagation methods through the reproduction of the results predicted in numerical experiments of diffraction by the fundamentals concepts of optics Babinet's principle and the number of Fresnel zones.
First, Babinet's principle and the number of Fresnel zones is exposed.
G., "Slot aerials and their relation to complementary wire aerials (Babinet's principle
), " Journal of the Institution of Electrical Engineers--Part IIIA: Radiolocation, Vol.
1(b)) satisfy the same equations (Babinet's principle
[2, 3]), so that the expressions for the H diffraction fields in the case of a strip coincide with the expressions for the E diffraction fields in the case of a slot, and inversely .
We, therefore, used laser diffraction to measure the width of a human hair, and observed that laser light impinging on the hair produced a diffraction fringe pattern on a distant screen almost identical to the pattern produced by a single slit of the same width, as predicted by Babinet's principle
. The width of the hair was easily determined from the fringe spacing.
Combining with the electric field distributions of the microstrip elliptical ring resonator's resonant modes in , the electric field distributions of the open elliptical-ring slot resonator's [TM.sub.110] and [TM.sub.210] modes, which are shown in Figure 1, can be reduced with the Babinet's principle
. According to duality principle, there is an interchange between the electromagnetic fields of the slot and the complementary ring which is also presented in Figure 1.
From Babinet's principle
, the radiation for the complimentary of the ground plane is comparable with the radiation pattern of the original structure.
By applying Babinet's principle
 and considering the sample to be of zero thickness and to be a perfect conductor, a sample with X% occupancy will have a normal incidence transmission Tx, while the (100 - X%) sample will have a transmission of (1 - Tx).
and full-wave electromagnetic simulations verify this analytical closed-form expression.
In the complementary structure, according to Babinet's principle
, if we rotate the polarization of electric field and magnetic field by 90 degree, the structure can realize the pass-resonances [34-36].
Based on the Babinet's principle
, it is associated to the radiation and impedance characteristic of an aperture or slot antenna to that of the field of its dual antenna.