A simplified analytical approach to calculation of the electromagnetic behavior of left-handed metamaterials with a graded refractive index profile | Zendy

Nils Dalarsson | Zendy; M. Maksimović | Zendy; Zoran Jakšić | Zendy

Open Access

A simplified analytical approach to calculation of the electromagnetic behavior of left-handed metamaterials with a graded refractive index profile

Author(s) -

Nils Dalarsson,

M. Maksimović,

Zoran Jakšić

Publication year - 2007

Publication title -

science of sintering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.309

H-Index - 25

eISSN - 1820-7413

pISSN - 0350-820X

DOI - 10.2298/sos0702185d

Subject(s) - metamaterial , refractive index , negative refraction , reflection (computer programming) , optics , transformation optics , transmission (telecommunications) , negative index metamaterials , matrix (chemical analysis) , electromagnetic field , split ring resonator , field (mathematics) , physics , transfer matrix , materials science , mathematics , computer science , pure mathematics , composite material , quantum mechanics , telecommunications , computer vision , programming language

We investigated the spectral properties of a new class of nanostructured artificial composite materials with tailored electromagnetic response, i.e. negative refractive index materials, also known as "left-handed" metamaterials. We analyzed structures incorporating both ordinary positive index media and negative refractive index metamaterials where the interface may be graded to an arbitrary degree. Utilizing a modified version of the Rosen-Morse function, we derived analytical expressions for the field intensity and spectral reflection and transmission through a graded interface between positive and negative index materials. We compared our results to numerical solutions obtained using the transfer matrix technique.

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