Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

Lurie K.

Control and Cybernetics

1998

Vol. 27, no 2

283-294

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.