This thesis introduces efficient numerical techniques for the analysis of novel
electromagnetic metamaterials. The modelling is based on a Method of Moments
modal analysis in conjunction with an interpolation scheme, which significantly
accelerates the computations. Triangular basis functions are used that allow for
modelling of arbitrary shaped metallic elements. Unlike the conventional methods,
impedance interpolation is applied to derive the dispersion characteristics of planar
With these techniques, the plane wave and the surface wave responses of fractal
structures have been studied by means of transmission coefficients and dispersion
diagrams. The multiband properties and the compactness of the proposed structures
are presented. Based on this method, novel planar left-handed metamaterials are also
proposed. Verifications of the left-handedness are presented by means of full wave
simulation of finite planar arrays using commercial software and lab measurement.
The structures are simple, readily scalable to higher frequencies and compatible with
low-cost fabrication techniques.
A Doctoral Thesis. Submitted in partial fulfillment of the requirements for the award of Doctor of Philosophy of Loughborough University.