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2014 Abstracts

Space Filling Curves and Their Applications With Metamaterials

Steffan Larsen, Brigham Young University

Mathematical Sciences

The popularity of metamaterials has exploded with in the last decade. Metamaterials are materials that exhibit interesting properties not found in nature; one of the most widely known features being a negative refractive index. Metamaterials are composites different types of materials that give them their interesting properties. In addition to being composed of several element types, metamaterials also contain certain inclusions that influence their electromagnetic properties. Among these are space filling curves. Space filling curves are curves that are entirely contained within a specific area and yet can become infinitely long. In my research I investigated the properties of space filling curves and their application/benefit to the research surrounding metamaterials, specifically metamaterial antennas.