Total Reflection Tunnel Effect of Solid-liquid Cylindrical Phononic Crystal
Liu Qi-neng
Abstract
Liu Qi-neng
Abstract
For studying the total reflection tunnel effect of 1-D solid-liquid cylindrical phononic crystal,the transition matrix method is adopted to calculate the transmissivity of the elastic wave when the incident angle is greater than the full reflection angle.The total reflection tunnel effect has been found in the transmission wave.The response curves of the frequency of the total reflection tunnel effect peak versus the mode quantum number have been obtained and the response curves of the total reflection tunnel effect peak versus the radius of the cylinder have been obtained and the response curves of the number of the total reflection tunnel effect peak versus the cycle number have also been obtained.The total reflection tunnel effect of the 1-D phononic cyrstal has been explained qualitatively and theoretically with the wave quantum theory and the evanescent wave theory.
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For studying the total reflection tunnel effect of 1-D solid-liquid cylindrical phononic crystal,the transition matrix method is adopted to calculate the transmissivity of the elastic wave when the incident angle is greater than the full reflection angle.The total reflection tunnel effect has been found in the transmission wave.The response curves of the frequency of the total reflection tunnel effect peak versus the mode quantum number have been obtained and the response curves of the total reflection tunnel effect peak versus the radius of the cylinder have been obtained and the response curves of the number of the total reflection tunnel effect peak versus the cycle number have also been obtained.The total reflection tunnel effect of the 1-D phononic cyrstal has been explained qualitatively and theoretically with the wave quantum theory and the evanescent wave theory.
Key concepts: Reflection (computer programming), Total internal reflection, RADIUS, Cylinder, Optics, Materials science, Crystal (programming language), Reflection coefficient