BEHAVIOR OF SOUND WAVES IN SHEPHERD FLUTE ON THE BASIS OF QUANTUM THEORY OF INDIVIDUAL PHONONS

Author:

KRSTIĆ SONJA1,SAJFERT VJEKOSLAV2,TOŠIĆ BRATISLAV3

Affiliation:

1. Advanced School of Electrical Engineering, University of Belgrade, Vojvoda Stepa 283, Belgrade, 11000, Serbia

2. Technical Faculty "M. Pupin", University of Novi Sad, Djure Djakovića bb, Zrenjanin, 23000, Serbia

3. Vojvodina Academy of Sciences and Arts, Dunavska 37, Novi Sad, 21000, Serbia

Abstract

Using the linearized Hamiltonian of individual phonon, it was shown that Schrödinger's equation of individual phonon is by form identical with classical hyperbolic equation. It was also shown that damper in shepherd's flute is reflexive for high frequencies and transparent for low ones. This result was experimentally tested by authors and good agreement of theory and experiment was found. The propagation of sound in parallelopipedal and cylindrical shepherd's flute was investigated. It turned out that parallelopipedal sound propagates in z-direction, only, while in cylindrical one besides plane waves in z-direction the damped waves in x, y plane appear.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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