Abstract

Two active dielectric materials may be blended together to realize a homogenized composite material (HCM) which exhibits more gain than either component material. Likewise, two dissipative dielectric materials may be blended together to realize an HCM which exhibits more loss than either component material. Sufficient conditions for such gain/loss enhancement were established using the Bruggeman homogenization formalism. Gain/loss enhancement arises when (i) the imaginary parts of the relative permittivities of both component materials are similar in magnitude and (ii) the real parts of the relative permittivities of both component materials are dissimilar in magnitude.

Highlights

  • Two particulate materials may be mixed together to realize a homogenized composite material (HCM), provided that the particles making up the component materials are much smaller than the wavelengths involved.[1]

  • The dual process of loss enhancement in HCMs arising from dissipative component materials is considered

  • The well-established Bruggeman homogenization formalism [10,11,12] is employed, all component materials being thereby treated on the same footing

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Summary

Introduction

Two (or more) particulate materials may be mixed together to realize a homogenized composite material (HCM), provided that the particles making up the component materials are much smaller than the wavelengths involved.[1]. For examples: through the process of homogenization, the phenomenon of weak nonlinearity may be enhanced,[4,5,6] and the group speed may be enhanced beyond the maximum group speed in the component materials [7,8] or weakened below the minimum group speed in the component materials.[9]. In this short article, the prospect of enhancing gain by means of homogenization is explored for HCMs arising from active component materials. This formalism is applicable for all values of the volume fractions of the component materials

Homogenization via the Bruggeman formalism
Loss enhancement
Numerical illustration
Non-dissipative and non-active component materials
Findings
Closing remarks

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