STUDY PROGRAM

The aim of the course is to provide the knowledge and skills to represent real space through graphic representation techniques. In the classroom, students will use computer programs to represent real space in 2D and 3D, to be able to simulate spaces acoustically.

Electroacoustic Systems tackles the main aspects related to loudspeaker analysis, design and testing, with special emphasis on industry needs. It is structured in two blocks: (1) Drivers and (2) Enclosures. The first block involves loudspeaker fundamentals, modelling (equivalent circuit), characteristic curves, testing, vibration, radiation and non-linear behavior, as well as some design guides. The second block involves design for loudspeaker enclosures, including driver selection and design of closed boxes, vented boxes, and passive radiator as well as band-pass enclosures. Geometry, diffraction and cross-filter strategies for two- and three-way solutions are also introduced.

Basic phenomena related to the phenomenology and operation of musical instruments are introduced, including the definitions, and methodologies for understanding the physical models of musical instruments. The acoustic and physical features of the main families of musical instruments are presented.

The purpose of this module is to educate students on knowledge and management of data acquisition systems on different buses and interconnection tools for conducting complex measures (instrumentation systems).

The aim of the course is to initiate the students in the field of psychoacoustics by training the students so that they are able to do perceptive tests.

The aim of the subject is providing the knowledge and capabilities for designing rooms (opera houses, conference venues, and so on) from an acoustics standpoint, as well as measuring the acoustic quality of rooms and characterizing materials and devices commonly used for acoustic conditioning.

The subject introduces students to the field of simulation by means of numerical resolution methods in the field of acoustics, including the Finite Element Method and Finite Differences in the time Domain, focusing on aspects related to numerical modeling, like convergence, stability, boundary conditions and the definition of the mesh.

The aim of the subject is providing the knowledge and capabilities for generating, manipulating and processing audio signals by using digital signal processing algorithms and techniques.

Sound System Design covers the design and implementation of centralized and distributed sound systems, using either analog or digital signal transmission. This subject goes over concepts related with technical and psycho-acoustic concepts related with audio systems. The students will work with tools like computer simulations for sound design, spectrum analyzers, impedance analyzers, and electro-acoustic transfer functions. Special emphasis is done with the DSP techniques available today for setting-up and optimize audio installations.

The objective of the subject is to provide the student with the fundamental knowledge about the generation and propagation of ultrasound, and to train him in the design and specification of ultrasonic equipment, both for applications on non- destructive analysis, or information processing, and on power ultrasound, in the medical, industrial, submarine and communications fields.

The subject introduces the fundamentals and applications of acoustical techniques for underwater communication, detection and characterization of targets and habitats. The student should achieve the technical understanding and use of basic instruments of underwater acoustics: emitting transducers and hydrophones, single elements and arrays, scientificechosounders and imaging SONARs, etc, and all their applications (underwater positioning, acoustical communication, bathymetry maps, habitat mapping, biomass characterization and estimation, ...).

The objective of the course is to initiate students into the world of research in the field of acoustics. To this end, a series of lectures is given by prestigious invited researchers.

This course aims at deep understanding of the interaction between a vibrating structure of geometry and surrounding fluid. While such situation arises commonly in many case of building acoustics, the underlying physics is much more complex than expected. Nevertheless, the mathematical tools used to solving it are easy to understood and simple to implement. On simple examples, we will present and understand situations such as sound radiation and transmission, fluid-added mass and damping, coincidence frequency, resonance modes, transient regime, far-field radiation and light- fluid approximation. All these principles are easily transposed in building isolation, sound radiation by string instruments, air wing fluttering or acoustics comfort in transports.

This course introduces the students with environmental noise issues due to surface and air transport systems, with the prediction and the perceptive characterization of the related noise sources and with their reduction by means of passive and active methods. The students will learn how to generate noise mapping of urban environments and calculate standard perceptive metrics of the environmental sounds using state-of-the-art numerical tools. They will also learn the theoretical basis and the experimental implementation of different noise reduction methods for the attenuation of low- frequency sounds using active noise control systems in a duct and in a room as well as the abatement of mid- to high-frequency noise using porous resonance absorbers. This unit will include 2 labs on PCs and 4 experimental labs. It is a prerequisite to Sound Wall, one of the projects of Unit 7, on the design of a mock-up for the most efficient sound wall barrier able to protect living area from urban traffic noise.

This course introduces the fundamental models of wave propagation in fluids and solids. More specific research issues are then addressed, such as the scattering, dissipative effects, the effect of anisotropy and of randomness. Lastly, nonlinear waves are considered, in relation with Unit 3 of S3. The general objective of this course is to provide students with the theoretical tools to address wave phenomena in complex media, for instance metamaterials (Unit 6 of S3). It also provides the foundations for inverse problems and imaging (Unit 5 of S3). Numerical applications of the phenomena will be systematically done, based on the softwares developed by researchers in the Laboratoire de Mécanique et d’Acoustique: Specfem and Prospero.

During previous semester basic knowledges (S1: Unit 2 and Unit 6, S2: Unit 4, 7, 10 and 12) are used and completed to address actual challenges in Non Destructive Evaluation and acoustical imaging. Relying with Unit 4, the complex materials of interest which are both biological (cells, bone, etc.) and industrial (welds, concrete, etc.) are described. Then, special attention is paid to experimental and numerical methods essential for damage identification and imaging. Practical applications are related to ultrasonic inspection in an industrial context (nuclear energy, civil engineering, aeronautics) and to medical diagnosis. Experimental knowledge will be developed with phased array ultrasonic, immersion tanks, and acoustic microscopy.

Acoustic metamaterials are artificial media engineered at the subwavelength scale whose effective properties such as negative refraction that cannot be found in nature. This course introduces asymptotic techniques to unveil dynamic effective parameters in periodic structures with resonant behavior. This makes possible negative effective parameters near resonances, and thus the design of an acoustic flat lens via negative refraction. Transformation acoustics (TA) is a mathematical tool whereby a change of coordinates in the wave equation leads to anisotropic heterogeneous parameters. A paradigm of (TA) is the invisibility cloak used to conceal a region of space to sound waves. Asymptotic techniques will be used to approximate the required material parameters for such an acoustic cloak for pressure waves with a structured medium. The course will also touch upon some extension of acoustic metamaterials to the realm of geophysics for the control of surface seismic waves (structuring soils with forests of trees and boreholes).

Linear Acoustics suffices for describing most of the common situations encountered in day life. In some cases, the nonlinear nature of dynamical systems encountered in acoustics (such as musical instruments and nonlinear energy sinks) is of primary importance and it is necessary to be able to recognize such situations. Similarly, the nonlinear dynamical systems are one way to new and original solutions to the acoustic problem. As there are multiple nonlinearities, many methods exist to solve such problem. Most of it are only tractable for the simplest cases, but they suffice to give the idea. Based on simple examples, this course will introduce the main concepts of: phase plane, bifurcations, oscillation regimes, stability, nonlinear modes and chaos.

Projects will be proposed to small groups of students to be carried out over several weeks, on a subject directly from the concerns of the industrial world. The aim is to concretely prepare students for their future profession, to motivate them by material realization, to encourage teachers from different disciplines to work as a team, or to develop a skills-based approach.

This training allows to become familiar with the project management tools, in order to appropriate them and to generalize their use during the realization of their projects. This training makes it possible to become familiar with the stages of the life cycle of a project; structure the project team and define the roles and responsibilities of the main actors; to acquire project definition, planning, monitoring and closing tools (project charter, project breakdown structure, liability table, work package, Gantt chart (schedule)), risk register and issues, skateholder influence assessment, communication summary plan, project progress.