### Abstract

Percolation Theory presents the Electromagnetic Engineer with a novel approach for the modeling of random particle dispersions. Its ability to model realistic manufacturing processes in terms of their stochastic behavior and to yield the effective media parameters for the permittivity and the permeability of the aggregate structure make it a powerful tool in the design of synthetic electromagnetic materials. However, the results are cast in such a form that it is difficult to separate the probabilistic contributions from the purely electromagnetic effects. If properly recast into the language of artificial dielectrics, the Percolation Theory model should separate into two effects: A probabilistic model of the dispersion, which yields the mean geometry of the array of particles (or clusters), and an electromagnetic model of the properties of that assemblage of particles (or clusters) resulting from the interaction of their intrinsic properties with the geometry of the array. In other words, the stochastic model of Percolation Theory should be reducible to a deterministic model of a classic artificial dielectric. That reduction is presented in this paper for the specific case of the permittivity of a dispersion of conducting particles in a dielectric binder at a sample volume fraction. Similarities to the behavior of a classic Frequency Selective surface are demonstrated as a distributed circuit model is determined for the dispersive behavior predicted by Percolation Theory.

Original language | English (US) |
---|---|

Pages (from-to) | 1040-1045 |

Number of pages | 6 |

Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |

Volume | 2 |

State | Published - Jan 1 1996 |

Externally published | Yes |

Event | Proceedings of the 1996 AP-S International Symposium & URSI Radio Science Meeting. Part 1 (of 3) - Baltimore, MD, USA Duration: Jul 21 1996 → Jul 26 1996 |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)*,

*2*, 1040-1045.

**Percolation theory in the design of artificial dielectrics.** / Alexopoulos, Nicolaos G.; Diaz, Rodolfo; Merrill, William M.

Research output: Contribution to journal › Conference article

*IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)*, vol. 2, pp. 1040-1045.

}

TY - JOUR

T1 - Percolation theory in the design of artificial dielectrics

AU - Alexopoulos, Nicolaos G.

AU - Diaz, Rodolfo

AU - Merrill, William M.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - Percolation Theory presents the Electromagnetic Engineer with a novel approach for the modeling of random particle dispersions. Its ability to model realistic manufacturing processes in terms of their stochastic behavior and to yield the effective media parameters for the permittivity and the permeability of the aggregate structure make it a powerful tool in the design of synthetic electromagnetic materials. However, the results are cast in such a form that it is difficult to separate the probabilistic contributions from the purely electromagnetic effects. If properly recast into the language of artificial dielectrics, the Percolation Theory model should separate into two effects: A probabilistic model of the dispersion, which yields the mean geometry of the array of particles (or clusters), and an electromagnetic model of the properties of that assemblage of particles (or clusters) resulting from the interaction of their intrinsic properties with the geometry of the array. In other words, the stochastic model of Percolation Theory should be reducible to a deterministic model of a classic artificial dielectric. That reduction is presented in this paper for the specific case of the permittivity of a dispersion of conducting particles in a dielectric binder at a sample volume fraction. Similarities to the behavior of a classic Frequency Selective surface are demonstrated as a distributed circuit model is determined for the dispersive behavior predicted by Percolation Theory.

AB - Percolation Theory presents the Electromagnetic Engineer with a novel approach for the modeling of random particle dispersions. Its ability to model realistic manufacturing processes in terms of their stochastic behavior and to yield the effective media parameters for the permittivity and the permeability of the aggregate structure make it a powerful tool in the design of synthetic electromagnetic materials. However, the results are cast in such a form that it is difficult to separate the probabilistic contributions from the purely electromagnetic effects. If properly recast into the language of artificial dielectrics, the Percolation Theory model should separate into two effects: A probabilistic model of the dispersion, which yields the mean geometry of the array of particles (or clusters), and an electromagnetic model of the properties of that assemblage of particles (or clusters) resulting from the interaction of their intrinsic properties with the geometry of the array. In other words, the stochastic model of Percolation Theory should be reducible to a deterministic model of a classic artificial dielectric. That reduction is presented in this paper for the specific case of the permittivity of a dispersion of conducting particles in a dielectric binder at a sample volume fraction. Similarities to the behavior of a classic Frequency Selective surface are demonstrated as a distributed circuit model is determined for the dispersive behavior predicted by Percolation Theory.

UR - http://www.scopus.com/inward/record.url?scp=0029746108&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029746108&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0029746108

VL - 2

SP - 1040

EP - 1045

JO - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

JF - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

SN - 0272-4693

ER -