Active inverse source problems in acoustics and applications
Abstract
Active inverse source problems in acoustics and applications Abstract To the attention of Dr. Reza Malek-Madani, manager of the Applied Computational Program July 25, 2014 This proposal discusses active inverse source problems for, and the control of, partial differential equations governing physical systems that depend on space, time and perhaps other variables as local temperature or the degree of heterogeneity in the surrounding environment. Specifically, this proposal studies two major sub-problems: Real-time detection of unwanted acoustic signals (interrogating or own vibrations) in heterogeneous media Based on the detected signal, characterize the defending antennas (e.g., acoustic surface pressure, antenna shape and spatial location) through corresponding active inverse source problems, i.e., inverse source problems in space and time domain, where the source may be moving through heterogeneous media and its location, shape as well as needed boundary inputs are unknown. This proposal studies how to detect and control unknown acoustic fields governed by Helmholtz’s scalar equation within defined regions of known heterogeneous environments. The objective of this work is to provide a unified physical mathematics approach to the detection and control of unwanted incoming acoustic fields and to design and carefully evaluate implementation approaches. The approach is active inverse source problems theory coupled to antenna synthesis and control theory. This approach includes analysis and design of special purpose antennas for control of acoustic fields and development of computational tools to determine boundary input needed to successfully control these special-purpose antennas. The special purpose antennas have the property of providing suitably controlled fields in specific targeted well-delimited regions of space in front of the antennas. As part of our approach we will investigate optimal positioning of these designed antennas to achieve most energy efficient control of acoustic fields. The anticipated outcome of the work will be an enhanced general technical ability for engineers and physicists to control systems governed by partial differential equations such as cooling systems (heat), vibrating systems (elasticity), and acoustic systems. The anticipated specific outcome of the work will be a distinct Navy capability to resist acoustic intrusion directed at Navy systems, and to acoustically protect or isolate large sites, such as building complexes, or underwater friendly maritime explorations. The impact of this work will be to importantly improve the United States ability to synthesize the needed sources for the control of acoustic fields in complex media whose dynamics are functions of space, time and perhaps other important variables. Specifically the impact will be on reduction of noise, acoustic interference and unwanted acoustic surveillance.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2016
- Source ID
- N000141512462
Entities
People
- Daniel Onofrei
Organizations
- Office of Naval Research
- United States Navy
- University of Houston System