Acoustic carpets

• Autorzy: Janowicz M. , Kaleta J. , Wrzeciono P. , Zembrzuski A.

Identyfikatory

DOI

10.22630/MGV.2016.25.1.1

• Języki publikacji: EN

Abstrakty

EN

Initial-boundary value problem for linear acoustics has been solved in two spatial dimensions. It has been assumed that the initial acoustic field consists of two Gaussian distributions. Dirichlet boundary conditions with zero acoustic pressure at the boundaries have been imposed. The solution has been obtained with the help of a split-operator technique which resulted in a cellular automaton with uncountably many internal states. To visualize the results, the Python library matplotlib has been employed. It has been shown that attractive graphical output results in both the transient and stationary regimes. The visualization effects are similar to, but different from, the well-known quantum-mechanical carpets.

Słowa kluczowe

EN

acoustics; Euler equations; split-operator method; visualization of physical fields

• Wydawca: Institute of Information Technology of the Warsaw University of Life Sciences – SGGW
• Czasopismo: Machine Graphics and Vision
• Rocznik: 2016
• Tom: Vol. 25, No. 1/4
• Strony: 3--12
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Janowicz M.

• Faculty of Applications of Informatics and Mathematics – WZIM, Warsaw University of Life Sciences – SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland

• https://orcid.org/0000-0002-1584-2089

autor

Kaleta J.

• Faculty of Applications of Informatics and Mathematics – WZIM, Warsaw University of Life Sciences – SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland

• https://orcid.org/0000-0001-6628-4251

autor

Wrzeciono P.

• Faculty of Applications of Informatics and Mathematics – WZIM, Warsaw University of Life Sciences – SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland

• https://orcid.org/0000-0003-3433-3906

autor

Zembrzuski A.

• Faculty of Applications of Informatics and Mathematics – WZIM, Warsaw University of Life Sciences – SGGW, Nowoursynowska 159, 02-775 Warsaw, Poland

• https://orcid.org/0000-0001-5943-3968

Bibliografia

• [1] Morse P. Vibrations and Sound. McGraw-Hill, New York, 1948.
• [2] Marzoli I., Saif F., Białynicki-Birula I., Friesch, O.M., Kaplan, A.E., and Schleich W.P. Quantum carpets made simple. Acta Phys.Slov. 48:323-333, 1998
• [3] Hall M.J.W., Reineker M.S. and Schleich W.P. Unravelling quantum carpets: a travelling wave approach. J. Phys. A 32:8275-8291, 1999.
• [4] Kaplan A.E., Marzoli I., Lamb Jr., W.E., and Schleich W.P. Multimode interference: Highly regular pattern formation in quantum wave-packet evolution. Phys. Rev. A 61:032101, 2000.
• [5] Belloni M., Doncheski M.A., and Robinett R.W. Wigner quasi-probability distribution for the infinite square well: Energy eigenstates and time-dependent wave packets. Am. J. Phys. 72:1183-1192, 2004.
• [6] Trotter H.F. On the product of semi-groups of operators. Proc. Am. Math. Soc. 10 :545-551, 1959.
• [7] Feit M.D., Fleck Jr. J.A., and Steiger A. Solution of the Schrödinger equation by a spectral method. J. Comp. Phys. 47:412-433, 1982.
• [8] Suzuki M. Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics. J. Math. Phys. 26:601-612, 1985.
• [9] Białynicki-Birula I. Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata. Phys. Rev. D 49:6920, 1994.
• [10] Succi S. The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond . Clarendon Press, Oxford, 2001.
• [11] Janowicz, M.W., Ashbourn J.M.A., Orłowski A. and Mostowski J. Cellular automaton approach to electromagnetic wave propagation in dispersive media. Proc. Roy. Soc. London Ser. A 462:2927-2948, 2006.
• [12] Miyasaka C., Telschow K.L., Tittmann B.R., Sadler J.T., and Park I.K. Direct visualisation of acoustic waves propagation within a single anisotropic crystalline plate with hybrid acoustic imaging system. Research in Nondesctructive Evaluation 23:197-206, 2012.
• [13] Szczodrak M., Kurowski A., Kotus J., Czyżewski A., and Kostek B. A system for acoustic field measurement employing Cartesian robot. Metrol. Meas. Syst. 23:333-343, 2016.
• [14] Rambach R.W., Taiber J., Scheck C.M.L., Meyer C., Reboud J., Cooper J.M., and Franke T. Visualization of Surface Acoustic Waves in Thin Liquid Films. Sci. Rep. 6:21980, 2016. DOI:10.1038/srep21980.