Rectangular Material Structures in Space-Time

  • Konstantin A. Lurie
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 15)


This chapter illustrates the influence produced by the material geometry in space-time on the wave propagation through the DM structures. For the wave equation with coefficients variable in 1D + time, there is suggested a special dynamic structure (spatial-temporal rectangular ”checkerboard”) that may support the energy accumulation in waves traveling through it. Energy is concentrated in progressively sharpening pulses carrying high (theoretically infinite) power. The structural parameters chosen within special ranges do not allow wave reflections, so the system becomes nonoscillatory and works on the principle that is different from parametric resonance. Instead its work is totally based on the ability of a checkerboard to support such a pattern of the wave routes that allows the energy to be pumped into the wave from outside but never permits its back into the environment. The material of this chapter is directly focused onto practical implementation, both in electromagnetic and mechanical setups.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Konstantin A. Lurie
    • 1
  1. 1.Department of Mathematical SciencesWorcester Polytechnic InstituteWorcesterUSA

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