Time Domain Modelling of Electromagnetic Metasurfaces Using Generalized Sheet Transition Conditions

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  • An explicit time-domain finite-difference technique to model zero-thickness space-time modu- lated Huygens’ metasurfaces based on the Generalized Sheet Transition Conditions (GSTCs) is proposed and numerically demonstrated. The equivalent Lorentzian electrical and magnetic surface susceptibilities of a typical all-dielectric Huygens’ unit cell, χee and χmm respectively, are mapped for a range of material permittivites, which is modulated in both space and time. The problem is formulated using a set of second-order differential equations in time with non-constant coefficients. The field solutions are then solved using an explicit finite- difference time-domain technique and propagated both in the time domain and the frequency domain. Several examples of a metasurface with static or space-time modulation are shown for normally incident plane and Gaussian beams, showing the scattered field solutions. While the time-modulated metasurface generated new colinearly propagating temporal harmonics, the introduction of a space-time modulation caused the generated harmonics to travel with differing angles of refraction.

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  • Copyright © 2017 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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  • 2017


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