Abstract
The design challenge of new functional composite materials consisting of multiphase materials has attracted an increasing interest in recent years. In particular, understanding the role of distributions of ordered and disordered particles in a host media is scientifically and technologically important for designing novel materials and devices with superior spectral and angular properties. In this work, the effective medium property of disordered composite materials consisting of hyperuniformly distributed hard particles at different filling fractions is investigated. To accurately extract effective permittivity of a disordered composite material, a full-wave finite element method and the transmission line theory are used. Numerical results show that the theory of hyperuniformity can be conveniently used to design disordered composite materials with good accuracy compared with those materials with randomly dispersed particles. Furthermore, we demonstrate that a Luneburg lens based on the proposed hyperuniform media has superior radiation properties in comparison with previously reported metamaterial designs and it may open up a new avenue in electromagnetic materials-by-design.
Highlights
Research into disordered materials has grown immensely because of its ubiquity in natural and artificial systems [1, 2]
Numerical results show that the theory of hyperuniformity can be conveniently used to design disordered composite materials with good accuracy compared with those materials with randomly dispersed particles
It is verified that by applying hyperuniformity in the design of composites, we benefit from the subject of metamaterials whose material properties can be accurately predicted and the conventional composite material which is isotropic and homogeneous
Summary
Research into disordered materials has grown immensely because of its ubiquity in natural and artificial systems [1, 2]. We consider simulating the plane wave reflection from the composite samples as shown, the composite sample is placed in a section of the transmission line, which scattering parameters can be obtained to reveal effective parameters of composite under test at its operating frequency. The average effective permittivity for random and hyperuniform composites are obtained from 20 samples in this study From this figure, we can see that the effective dielectric property of all these three kinds composites agrees well the theoretical estimation. In this frequency band, the dielectric property of both host and inclusion media have a constant relative permittivity (1.0 and 2.33 respectively), and the filling fractions in these composites are. The effective dielectric properties of random composites are more susceptible to the inclusion particle positions comparing to hyperuniform disordered composites
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