Magnetostatic surface waves propagation at dissipative ferrite-MTMs-metal structure.

Zeyad I Al-Sahhar,Mohammed M Shabat,Hala J El-Khozondar

doi:10.1186/2193-1801-2-584

Zeyad I Al-Sahhar, Mohammed M Shabat + Show 1 more

Open Access

https://doi.org/10.1186/2193-1801-2-584

Copy DOI

Journal: SpringerPlus	Publication Date: Oct 31, 2013
Citations: 5	License type: cc-by

Affiliation: Al-Aqsa University, Islamic University of Gaza

Abstract

The magnetostatic surface waves (MSSW) propagation in a layered structure composed of ferrite film covered by air and on top of metamaterial (MTM) placed on metal is discussed. Dispersion equations which relate the parameters of different layers are derived and used to analyse propagation of MSSW. It is found that the MSSW excitation band depends on the thickness of the MTM layer and ferrite layer.

Highlights

Metamaterial (MTM) is a manmade material with negative value for both permittivity and permeability at a certain frequency
A s4 s3 + s2 s1 ω/ω b s4 s3 + s2 s1 ω/ω p ky Conclusion magnetostatic surface waves (MSSW) propagation is studied in an asymmetric slab waveguide consisting of ferrite film sandwiched between air and MTM film placed on a metal substrate
The dispersion relation for the MSSW is studied at three different cases corresponding to the different MTM layer thicknesses: finite thickness, infinite thickness, and zero

Summary

Introduction

Metamaterial (MTM) is a manmade material with negative value for both permittivity and permeability at a certain frequency. The transverse electric (TE) wave propagation in a structure consists of MTM film surrounded by a metal substrate and a magnetized ferrite cover bounded by air is investigated. The dissipative MTM film has both permittivity εM and permeability μM depending on the frequency (ω) as follows: εM. Where the variation with z-direction is assumed to be zero, i indicates f for Ferrite layer, M for MTMs layer, and l for the linear cladding layer (air), ql = k0, qf 1⁄4 k0 pffiεffifffiffiμffiffiffivffi , qM = k0εM, k0 = ω/c and μ 1⁄4 , μ211−μ212 v μ11 which is called the Voigt permeability. The limiting frequencies for MSSW free ferrite film are expressed as follows (Damon and Eshbach 1961): qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ωs 1⁄4 ω2H þ ωH ωM ð8Þ ωfin 1⁄4 ωH þ ωM=2. Ð9Þ where ωs is the starting frequency and ωfin is the final frequency

Numerical analysis and results

Conclusion