TITLE:
On the Alternative Approach to Active Control
AUTHORS:
Vladimir V. Arabadzhi
KEYWORDS:
Boundary and Initial Conditions, Flat Impact, Flat Imprint, Imprint Relaxa-tion, Depth of Imprint, Transparent Supportless Unidirectional Sources of Acoustical Wavelets, Leading Edge of Incident Wave, Leading Pair of Micro-phones
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.11,
November
22,
2018
ABSTRACT:
Paper is devoted to problem of acoustical visibility reduction and gives brief description of alternative approach to active control. This approach allows satisfy jointly the four conditions: a) effective suppression of acoustical radiation and scattering caused by elastic body immersed in compressible medium (water); b) cloacking at any important temporal frequencies of ob-servant sound waves; c) cloacking at any important spatial frequencies or at any observation directions; (d) thickness of the masking shell is much smaller than the length of suppressed waves. Technological development gives more and more fast and miniature control elements and fast, accurate calculations. On the other hand, the lengths of waves to be damped are con-stant due to the constant conditions of their far propagation. The approach suggested uses operations of high space-time resolution for long waves controlling. Because the joint fulfillment of the conditions of acoustic support absence and the thinness of the shell and also the causality of control lead to the need to operate at frequencies of much higher than frequencies of waves to be damped. It is assumed that the incident waves are represented by a discrete set of plane waves of finite duration. Also it is assumed only that the characteristic spatial scale of the distribution of normal velocities on the surface of the protected body is limited from below. The boundary value problem with initial conditions is considered.