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Title: Invisibility on demand based on a generalized Hilbert transform
Authors: Hayran, Zeki
Herrero, Ramon
Botey, Muriel M.
Kurt, Hamza
Staliunas, Kestutis
Keywords: Bridges
Finite difference time domain method
Hilbert spaces
Iterative methods
Refractive index
Time domain analysis
Issue Date: 12-Jul-2018
Publisher: American Physical Society
Source: Hayran, Z., Herrero, R., Botey, M., Kurt, H., & Staliunas, K. (2018). Invisibility on demand based on a generalized Hilbert transform. Physical Review A, 98(1), 013822.
Abstract: We propose a feasible invisibility approach to suppress the scattering of waves from or to given directions and for particular frequencies, i.e., invisibility on demand. We derive a generalized Hilbert transform for a specific invisibility arrangement relating the two quadratures of the complex permittivity of an object. The scheme allows either designing objects to be invisible, or alternatively modifying the complex susceptibility of a given object to render invisibility. The theoretical proposal is further confirmed by finite-difference time-domain numerical calculations. Moreover, following an iterative chain of generalized Hilbert transforms, we propose the invisibility on demand with additional constraints, i.e., restricting the required modification of the complex refractive index within practical limits by avoiding gain areas. The proposed concept not only opens a venue of real or complex valued index landscapes, but also bridges the gap between Hermitian and non-Hermitian optical systems by unifying these systems under one single generalized design theory.
Appears in Collections:Elektrik ve Elektronik Mühendisliği Bölümü / Department of Electrical & Electronics Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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