G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations

• Autorzy: Lurie K.
• Języki publikacji: EN

Abstrakty

EN

The paper is focused on the conept of material mixing in dynamics. This concept introduces the spatio-temporal composites, i.e. material microstructures assembled and maintained in space-time. The knowledge of the relevant sets of effective material parameters (G-closures) is crucial for the purpose of material optimization arising in dynamics of moving media, particularly acoustics and hydroacoustics, as well as in the high-frequency electronic engineering. The analysis is based on covariant description of the mixing problem in terms of relativistic equations acting in Minkowski space. The specific charakterization of G-closure is given for a special case of a dielectric composite in one-dimensional electromagnetic wave propagation. If such composite is assembled in space-time from two dielectrics with the same ratio epsilon / mi of permittivity epsilon to permeability mi and different otherwise then the ratio epsilon[sub omikron] / mi[sub omikron] of the relevant effective parameters will preserve the same value. This is a conservation law for the wave impedance of the medium with respect to one-dimensional wave propagation.

Słowa kluczowe

EN

hyperbolic G-closure; mixing in space-time; screening effect; spatio-temporal composites

PL

równanie liniowe hiperboliczne

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 2
• Strony: 283--294
• Opis fizyczny: Bibliogr. 11 poz.,

Twórcy

autor

Lurie K.