One dimensional phononic FDTD algorithm and transfer matrix method implementation for Severin aperiodic multilayer

• Autorzy: Garus S. , Sochacki W.

Identyfikatory

DOI

10.17512/jamcm.2017.4.02

• Języki publikacji: EN

Abstrakty

EN

In this paper, the power spectrum and phononic properties of the quasi one-dimensional Severin aperiodic multilayer was investigated. Multilayer phononic structures with their phononic band gap properties can be used as filters of mechanical waves. In the paper, the implementation of the Finite Difference Time Domain (FDTD) algorithm with discrete Fourier transform and the Transfer Matrix Method algorithm in the Wolfram Language in Mathematica was made.

Słowa kluczowe

EN

phononic; FDTD; transfer marix; aperiodic; multilayers

PL

właściwości transmisyjne; urządzenia akustyczne; aperiodyczna supersieć; Severin

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 4
• Strony: 17--27
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Garus S.

• Institute of Mechanics and Machine Design Fundamentals, Czestochowa University of Technology Czestochowa, Poland

autor

Sochacki W.

• Institute of Mechanics and Machine Design Fundamentals, Czestochowa University of Technology Czestochowa, Poland

Bibliografia

• [1] Gruszka K., Nabiałek M., Szota M., The influence of fill factor on the phononic crystal eigenfrequencies, Archives of Materials Science and Engineering 2014, 66(2), 74-80.
• [2] Gruszka K., Nabiałek M., Szota M., Influence of rod diameter on acoustic band gaps in 2D phononic crystal, Archives of Materials Science and Engineering 2014, 68(1), 24-30.
• [3] Qiu C.Y., Liu Z.Y., Jun Z.M., Shi J., Mode-selecting acoustic filter by using resonant tunneling of two-dimensional double phononic crystals, Applied Physics Letters 2005, 87, 104101.
• [4] Cicek A., Kaya O.A., Yilmaz M., Ulug B., Slow sound propagation in a sonic crystal linear waveguide, Journal of Applied Physics 2012, 111, 013522.
• [5] Zhang M.D., Zhong W., Zhang X.D., Defect-free localized modes and coupled-resonator acoustic waveguides constructed in two-dimensional phononic quasicrystals, Journal of Applied Physics 2012, 111, 104314.
• [6] Sánchez-Dehesa J., Garcia-Chocano V.M., Torrent D., Cervera F., Cabrera S., Noise control by sonic crystal barriers made of recycled materials, The Journal of the Acoustical Society of America 2011, 129, 1173.
• [7] Wu T.T., Wu L.C., Huang Z.G., Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers, Journal of Applied Physics 2005, 97, 094916.
• [8] Pennec Y., Djafari-Rouhani B., Vasseur J.O., Khelif A., Deymier P.A., Tunable filtering and demultiplexing in phononic crystals with hollow cylinders, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2004, 69, 046608.
• [9] Olsson R.H., El-Kady I., Microfabricated phononic crystal devices and applications, Measurement Science and Technology 2009, 20, 012002.
• [10] Sullivan D.M., Electromagnetic Simulation Using the FDTD Method, IEEE Press, New York 2000.
• [11] Garus S., Garus J., Szlązak K., Nabiałek M., Pietrusiewicz P., Błoch K., Gruszka K., Szota M., The influence of extinction coefficient on transmission in binary multilayer, Journal of Achievements in Materials and Manufacturing Engineering 2013, 61/2, 236-243.
• [12] Garus S., Garus J., Szota M., Nabiałek M., Gruszka K., Błoch K., Transmission in combination of structures, Archives of Materials Science and Engineering 2013, 64/2, 110-117.
• [13] Severin M., Dulea M., Riklund R., Periodic and quasiperiodic wavefunctions in a class of one dimensional quasicrystals: an analytical treatment, Journal of Physics: Condensed Matter 1989, 1, 8851.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).