Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence

• Published in: Scientific reports Vol. 13; no. 1; p. 9981
• Main Authors: Nellambakam, Yuganand, Haritha, K., Shiv Chaitanya, K. V. S.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 20-06-2023; Nature Publishing Group; Nature Portfolio
• Subjects: 639/624; 639/766; Antennas; Convergence; Diffraction; Geometry; Humanities and Social Sciences; multidisciplinary; Radiation; Science; Science (multidisciplinary)
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-023-36894-8

In this paper, we study Multiple slit diffraction and n- array linear antennae in negative refractive index material. We show that the evanescent wave plays a vital role in the near-field term. The evanescent wave grows significantly, unlike in conventional materials, and satisfies a novel kind of convergence known as Cesàro convergence. We calculate the intensity of multiple slits and the antenna’s amplification factor (AF) in terms of the Riemann zeta function. We further demonstrate that the Riemann zeta function gives rise to additional nulls. We deduce that all the diffraction scenarios in which the traveling wave satisfies the geometric series in the medium of the positive refractive index will enhance the evanescent wave, which satisfies Cesàro convergence in the medium of the negative refractive index.