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.
In this paper, in the section 2 a review of Babinet's principle and the number of Fresnel zones is done, after the propagation methods angular spectrum and Fresnel-Fraunhofer transform are explained and the utilized numerical experiment is described.
First, Babinet's principle and the number of Fresnel zones is exposed.
Babinet's principle was formulated by the French physicist, mathematician and astronomer Jacques Babinet.
With this condition, we are able to guarantee that the amplitude of the optical field of the opening and its complement are equal in magnitude with a phase difference of n at the very optical field, as was predicted by Babinet's principle, at the very optical field, as was predicted by Babinet's principle, [U.
7 times z; beyond this point the phase difference on the optical axis presents oscillations that deviate the measured phase difference from that predicted by Babinet's principle.
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].
Walther, "Terahertz near-field microscopy of complementary planar metamaterials: Babinet's principle," Opt.
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
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.
Babinet's principle defines that the far fields radiated by the antenna with the slot and those radiated by the complementary structure are related by: