Analytical Theory of the Total Reflection Tunnel Effect of Solid-liquid Limited Periodic Phononic Crystal
Qin Liu
Abstract
Qin Liu
Abstract
In order to obtain analytic theory of 1D solid-liquid limited cycle phononic crystal,the evanescent wave and the beam interference theory are used.The physical mechanism of the total reflection tunnel effect of 1D solid-liquid limited cycle phononic crystal is explained and the analytical formulas is deduced.The change rule of the total reflection tunnel effect that response curves of wavelength versus cycle number and cycle wave distance are studied.Transmission matrix method and analytical method is compared and their results are the same,it makes up the deficiency of the numerical calculation method of 1D limited cycle phononic crystal.
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In order to obtain analytic theory of 1D solid-liquid limited cycle phononic crystal,the evanescent wave and the beam interference theory are used.The physical mechanism of the total reflection tunnel effect of 1D solid-liquid limited cycle phononic crystal is explained and the analytical formulas is deduced.The change rule of the total reflection tunnel effect that response curves of wavelength versus cycle number and cycle wave distance are studied.Transmission matrix method and analytical method is compared and their results are the same,it makes up the deficiency of the numerical calculation method of 1D limited cycle phononic crystal.
Key concepts: Materials science, Reflection (computer programming), Crystal (programming language), Wavelength, Interference (communication), Transmission (telecommunications), Condensed matter physics, Liquid crystal