Michael R Haberman

Verified

Michael verified their affiliation via an institutional email.

Learn more

Verified

Michael verified their affiliation via an institutional email.

Learn more

• PhD
• Professor (Associate) at University of Texas at Austin

The forced time harmonic response of a spatio-temporally modulated elastic beam of finite length with light damping is derived using a novel Green’s function approach. Closed-form solutions are found that highlight unique mode coupling effects that are induced by spatio-temporal modulation, such as split resonances that are tunable with the modulat...

Analytical solutions for acoustic vortex beams radiated by sources with uniform circular amplitude distributions are derived in the paraxial approximation. Evaluation of the Fresnel diffraction integral in the far field of an unfocused source and in the focal plane of a focused source leads to solutions in terms of an infinite series of Bessel func...

The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly unrelated field, namely, non-Hermitian quantum mechanics. By drawing analogies between this theory and those of cl...

Phonons are quasi-particles associated with mechanical vibrations in materials, at the root of the propagation of sound, elastic / mechanical waves, and of thermal phenomena, common to our every day life and many technologies. The fundamental understanding and control over phonon responses in natural and artificial media is of major importance in t...

This chapter presents an overview of the scattering cancellation approach applied to acoustic waves, inspired by the use of plasmonic cloaks for electromagnetic waves. Using an analogous analytical approach, we show here that isotropic and homogeneous acoustic metamaterial covers may provide strong scattering reduction over moderately broad bandwid...

Elastic materials with time and space varying properties are interesting candidates to control bulk and guided waves in unprecedented ways which include nonreciprocal transmission, unidirectional mode conversion, mode coupling, and frequency conversion. Previous work on elastic waves in spatiotemporally modulated (STM) media have focused on nonreci...

The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form solutions are found that highlight unique mode coupling effects that are induced by spatiotemporal modulation, such as split resonances that are tunable with the modulatio...

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are often prohibitively expensive at scales of interest. Prior studies have therefore utilized low-order effective...

Complementary acoustic metamaterials (CAMMs) have been proposed as a means of enhancing the transmission of acoustic imaging signals through aberrating layers. Aberrating layers with high impedance contrast compared to the surrounding material disrupt the acoustic field and hence distort acoustic images. However, conventional CAMMs are passive and...

The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly unrelated field, namely, non-Hermitian quantum mechanics. By drawing analogies between this theory and those of cl...

We employ the Baker–Campbell–Hausdorff formula to derive closed-form expressions for the effective properties, including emergent Willis coupling, of a one-dimensional heterogeneous poroelastic medium consisting of a periodically repeating two-layer unit-cell. In contrast to the elastic and fluidic analogs, the Willis coupling of this periodic poro...

A compact analytical solution obtained in the paraxial approximation is used to investigate focused and unfocused vortex beams radiated by a source with a Gaussian amplitude distribution. Comparisons with solutions of the Helmholtz equation are conducted to determine bounds on the parameter space in which the paraxial approximation is accurate. A l...

Nonlinear elastic metamaterials have been shown to admit a variety of rich, dynamical features that can be leveraged to tailor the propagation of mechanical waves. Since these materials derive their properties from intricate, subwavelength geometries, direct numerical simulations are often prohibitively expensive at scales of interest. To overcome...

Polarizability is a convenient descriptor for scattering from low-ka inhomogeneities in both electromagnetism, where it originated, and in acoustics, where it is increasingly used in the design of metamaterial elements. In two or three dimensions, the polarizability is represented by a block matrix that couples the local pressure and particle veloc...

This talk will introduce ongoing work in the Technical Committee on Engineering Acoustics (TCEA) of the Acoustical Society of America. Engineering Acoustics encompasses the theory and practice of creating tools to generate and investigate acoustical phenomena and then to apply the knowledge of acoustics to practical utility. This includes the desig...

Acoustic vortex beams possess helical wavefronts characterized by an orbital number n. In the presence of focusing, the toroidal vortex ring for n = 1 moves out of the focal plane z = d and toward the source with increasing n, accompanied by a departure from its toroidal shape. In this talk, ray theory is developed to explain this field transformat...

Lithium-ion batteries are pivotal in various technological applications, from powering electric vehicles to supporting renewable energy storage systems. Understanding and monitoring the intricate chemo-mechanics within lithium-ion cells is imperative for ensuring their reliability and performance over time. Previous research has shown that both ult...

Basis functions that can accurately represent simulated or measured acoustic pressure fields with a small number of degrees of freedom is of great use across various applications, including finite element methods, model order reduction, and compressive sensing. In a previous work [B. M. Goldsberry, J. Acoust. Soc. Am. 153, A193 (2023)], basis funct...

Complementary acoustic metamaterials have been proposed as a means of compensating for the high impedance mismatches of aberrating layers that disrupt the acoustic field and hence distort acoustic images. Recently, a complementary acoustic metamaterial featuring active components was shown in principle to compensate for both the impedance mismatch...

In order to navigate their environment and find food, bats rely on comparing returning echoes to their broadcast signal. Through decades of research, we have a good understanding of how single bats accomplish this task, but we still don’t know how bats in dense groups can echolocate without interference from others. A spectral Jamming Avoidance Res...

Elastic waveguides with time- and space-dependent material properties have received great attention as a means to realize nonreciprocal propagation of small-amplitude mechanical waves in unbounded elastic media. Previous works have shown that propagating waves in a modulated medium violate reciprocity by means of asymmetric frequency and wave numbe...

The robustness and safety of battery-operated systems will become critically important as society transitions away from fossil fuels. In the foreseeable future, lithium-ion batteries will be used for high-power, high-capacity applications such as electric vehicles and renewable energy storage. In these applications, which require thousands of cells...

Most biosonar models predict that bats rely on the correct assignment of an echo from a broadcast signal to successfully perceive their environment, which should be difficult for bats in dense groups. Brazilian free-tailed bats (Tadarida brasiliensis) form some of the largest aggregations on the planet and have flexible characteristics of their ech...

Acoustic and elastic metamaterials with space- and time-dependent material properties have received significant attention recently as a means to realize systems that induce nonreciprocal wave propagation in the bulk or enable frequency and mode conversion of fields scattered from metasurfaces. A previous study derived a nonreciprocal Green’s functi...

Multiple-scattering homogenization procedures in acoustics and electromagnetics have shown that subwavelength asymmetries and lattice effects in metamaterials give rise to bianisotropy, the tensorial coupling of two constitutive relations. Asymmetric piezoelectric scatters in the quasi-electrostatic regime have recently been shown to couple the ele...

Reciprocity is a fundamental principle that can be used to understand a wide range of wave phenomena. In reciprocal systems, the exchange of source and receiver between two points yields the same displacement at the receiver if the applied force at the source is the same for both configurations. The reciprocity principle enforces restrictions on th...

Nonlinear architected materials are known to exhibit a plethora of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, dynamic simulations at high resolutions are often intractable at scales of interest. Therefore, prior studies have turned to effective medium mo...

This paper presents a novel, data-driven approach to identifying partial differential equation (PDE) parameters of a dynamical system in structural health monitoring applications. Specifically, we adopt a mathematical "transport" model of the sensor data that allows us to accurately estimate the model parameters, including those associated with str...

Willis dynamic homogenization theory revealed that the effective linear momentum of elastic composites is coupled to their effective strain. Recent generalization of Willis dynamic homogenization theory to the case of piezoelectric composites further revealed that their effective linear momentum is also coupled to the effective electric field. Here...

Self-excitation and beating phenomena are the result of nonlinear constitutive behavior of vibrating structures with nonlinear components. These behaviors require externally supplied excitation and can be induced by the combination of near equilibrium damping and nonlinear damping operating far from equilibrium. In this study, dry friction, a mecha...

Pentamodal (PM) metamaterials are elastic structures that are designed to support purely longitudinal acoustic wave propagation over a wide band of frequencies. Further, these metamaterials can be designed to have anisotropic stiffness and be impedance matched to water [doi.org/10.1121/10.0009161]. Due to the complexity of three-dimensional (3D) PM...

Acoustic metamaterials exhibit effective material properties not found in naturally occurring media, and, as such, have received considerable attention for their potential applications in noise and vibration control, diagnostic imaging, and nonreciprocal transmission. Complementary acoustic metamaterials have been proposed as a means of compensatin...

Rigid-body displacement and deformation constitute the total displacement field of a solid. Harnessing the former calls for well-organized kinematic elements, and controlling the latter allows for creation of shape-morphing materials. A solid capable of simultaneously controlling both rigid-body displacement and deformation remains unknown. Here, w...

Electric vehicles require nearly 1000 individual lithium-ion batteries to provide appropriate power and capacity. It has recently been shown that ultrasonic inspection can detect localized heating in a LIB cell with a combination of input frequencies and propagation paths [J. Acoust. Soc. Am. 152, A283 (2022)]. However, monitoring the thermal condi...

Ultrasonic nondestructive testing (NDT) can be used to relate the print settings of additively manufactured polymers to their macroscopic elastic properties. We present a comparison of the measurement of angle- and frequency-dependent ultrasonic transmission through a flat plate to predictions using a multiscale model that considers infill geometry...

The magnitude of an acoustic point source is traditionally described as monopole, dipole, or higher-order multipole source strengths. The polarizability tensor, commonly used in electromagnetics, can be used to describe the scattering from an acoustically small heterogeneity in a background medium as monopole, dipole, and higher order multipoles du...

Willis materials are metamaterials whose subwavelength asymmetry couples the macroscopic pressure-strain and momentum-velocity relations. Recently, the design space of these metamaterials has been expanded to consider asymmetric piezoelectric scatterers and thereby couple the electric field-electric displacement relation to the constitutive equatio...

The macroscopic response of acoustic metamaterials with sub-wavelength asymmetry may be described by the so-called Willis constitutive relations, which include coupling between the acoustic pressure and momentum density. One method to describe the behavior of acoustically-small, Willis material building-blocks is via a polarizability matrix relatin...

The topic of acoustic metamaterials has been included as a regular special session at the ASA for over 10 years, with hundreds of papers presented. In many of these presentations, the author begins with a definition of ‘acoustic metamaterial.’ While many of these definitions are similar, subtle differences exist in the defining characteristics. So...

Spatiotemporal modulation of material properties has been studied across physics in an effort to control propagating waves. Using a semi-analytical approach, we have recently shown that the performance of a conventional sound diffuser can be significantly improved through spatiotemporal modulation of its surface admittance [Kang et al., Appl. Phys....

Willis dynamic homogenization theory revealed that the effective linear momentum of elastic composites is coupled to their effective strain. Recent generalization of Willis' dynamic homogenization theory to the case of piezoelectric composites further revealed that their effective linear momentum is also coupled to the effective electric field. Her...

Underwater elastic leaky wave antennas (LWAs) steer acoustic energy as a function of frequency by exploiting fluid-solid coupling. LWAs present a modeling challenge due to complex radiation impedance on the waveguide surface that leads to changes in dynamic response. This work presents an approach to model underwater LWAs that considers an elastic...

This broad review summarizes recent advances and “hot” research topics in nanophononics and elastic, acoustic, and mechanical metamaterials based on results presented by the authors at the EUROMECH 610 Colloquium held on April 25–27, 2022 in Benicássim, Spain. The key goal of the colloquium was to highlight important developments in these areas, pa...

Safety concerns associated with thermal runaway (TR) in lithium-ion cells have limited their adoption in high-power applications such as battery electric vehicles or energy storage systems. In practice, cells are more likely to encounter localized heating than total volume heating, so detecting and preventing TR in this thermal loading environment...

Metamaterials have offered unprecedented potentials for wave manipulations. However, their applications in underwater acoustic wave control have remained largely unexplored. This is because of the limited material choices and the lack of reliable fabrication techniques for the complicated structures. Herein, a metamaterial with microlattice structu...

Acoustofluidic separation often involves biological targets with specific acoustic impedance similar to that of the host fluid, and with dimensions up to the order of a wavelength. This parameter range, combined with the use of standing waves to separate the targets, lends itself to use of the Born approximation for calculating the acoustic radiati...

Most metamaterial systems are designed with periodic unit cells to make the underlying design problem more tractable. Shifting to nonperiodic unit cells enables a broader range of physical properties at the expense of higher dimensional design spaces of variable size associated with the adjustable quantity and size of physical features. Representin...

Traditional sound diffusers are quasi-random phase gratings attached to reflecting surfaces to introduce spatiotemporal incoherence into the backscattered acoustic field. Early designs consisted of periodically tiled diffuser grating unit cells to cover large surfaces. However, spatial periodicity leads to coherent constructive and destructive inte...

No PDF available ABSTRACT Current interest in focused vortex beams is motivated by the ability to trap particles axially and laterally using the resulting radiation force. A simple closed-form solution is obtained in the Fresnel approximation for a sound beam radiated by a Gaussian source with time dependence e−iωt , focal length d, amplitude distr...

No PDF available ABSTRACT While graduate study in acoustics takes place in several colleges and schools at The University of Texas at Austin (UT Austin), including Communication, Fine Arts, Geosciences, and Natural Sciences, this poster focuses on the acoustics program in Engineering. The core of this program resides in the Departments of Mechanica...

No PDF available ABSTRACT “Study hard what interests you the most in the most undisciplined, irreverent and original manner possible” [Perfectly Reasonable Deviations from the Beaten Track, Richard P. Feynman, Basic Books, 2005]. Writing original homework problems is a powerful way students of physical acoustics can practice Feynman’s advice. Three...

No PDF available ABSTRACT One common student critique of homework problems in lecture courses is that the complexities of the real-world are removed in order to create problems that reinforce a specific physical phenomenon or mathematical principle that is relevant to the content discussed in class. This tends to produce problems that are effective...

No PDF available ABSTRACT The unique behavior of acoustic and elastic metamaterials results from engineered subwavelength material composition and geometry. Though there has been a profusion of metamaterial research over the last two decades, relatively little focus has been on the dissipation of vibro-acoustic energy. Most research on metamaterial...

No PDF available ABSTRACT The transition from internal combustion to electrically powered vehicles (EVs) is accelerating, with some estimates predicting that 45% of new cars sold in the US will be fully electric by 2035. EVs will be powered by lithium-ion batteries (LIBs). This high-power application can subject LIBs to significant electrical, mech...

No PDF available ABSTRACT Electro-momentum coupling is a macroscopically observable material response resulting from heterogeneous piezoelectric media with microscale asymmetries that produce unique cross-coupling between the bulk momentum of the material and the generated electric field. Recently, Pernas-Salomon et al. used a one-dimensional trans...

No PDF available ABSTRACT Ultrasonic inspection is one non-destructive method to monitor the internal state of lithium-ion battery (LIB) cells. During charging, lithium ions intercalate into the graphite anode, causing moderate volumetric expansion (approximately 10%) and as much as a three-fold increase in Young’s modulus of the anode. Many resear...

No PDF available ABSTRACT Introduction of time-varying properties in a background medium can enable unconventional wave behavior. Furthermore, it is well-known that subjecting nonlinear materials to time-varying stress can be used for material characterization [Appl. Phys. Lett. 94, 011905 (2009)]. We propose a technique called Dynamic Asymmetric T...

No PDF available ABSTRACT Laser Doppler Vibrometry (LDV) is often used in nondestructive testing to make high-fidelity, non-contact structural dynamic measurements. However, synchronized measurement on slow, structural dynamics (SD) and fast, ultrasonic (US) time scales can yield additional useful information about the overall condition of elastic...

The macroscopic response of acoustic metamaterials with subwavelength asymmetry may be described by coupled constitutive relations (the so-called Willis form) for the acoustic pressure and momentum density, which lead to momentum that is dependent on strain rate and pressure that depends on local acceleration. The subwavelength behavior of Willis m...

Traditional sound diffusers are quasi-random phase gratings attached to reflecting surfaces whose purpose is to augment the spatiotemporal incoherence of the acoustic field scattered from reflective surfaces. This configuration allows one to cover a large reflecting surface by periodically tiling the diffuser unit cells to cover a large area while...

No PDF available ABSTRACT Acoustofluidic separation often involves biological targets with specific acoustic impedance similar to that of the host fluid, and with dimensions on the order of the acoustic wavelength. This parameter range, combined with the use of standing waves to separate the targets, lends itself to use of the Born approximation fo...

No PDF available ABSTRACT Nonreciprocal acoustic wave propagation has been the topic of intense study for nearly a decade with the objective of understanding physical requirements to increase control over propagating acoustic waves [Nassar et al., Nat. Rev. Mater. 5(9), 667–685 (2020)]. One approach to achieve non-reciprocity is deterministic spati...

No PDF available ABSTRACT The macroscopic response of acoustic metamaterials with sub-wavelength asymmetry is described with coupled constitutive relations for the acoustic pressure and momentum density. This coupling leads to momentum that is dependent on the strain rate and pressure that depends on the local acceleration. The coupled constitutive...

No PDF available ABSTRACT Traditional approaches to numerically model acoustic metasurfaces (AMS) with deeply subwavelength features require tremendous computational expense. Metamodels created using machine learning (ML) methods are promising techniques to efficiently and accurately model macroscopic AMS behavior while considering subwavelength fe...

No PDF available ABSTRACT Spatial scans of acoustic fields are often required to characterize acoustic system behavior. Automated positioning systems allow for higher spatial resolution, more efficient use of time, and increased repeatability and precision during data collection than is possible manually. Unfortunately, commercial systems can be ex...

No PDF available ABSTRACT Metamaterials (MM) have become a very active research topic in numerous domains of engineering because of their promise to create structures and devices that can control wave propagation in ways that exceed the capabilities of conventional homogeneous and composite materials. Most research on acoustic and elastic MM has be...

No PDF available ABSTRACT High frequency noise has been observed during reciprocating sliding of metal-metal in dry contact. In tribology, the study of friction and wear, this noise was historically associated with “brake squeal;” however, it has also been found to occur within structures and systems that experience high frequency, reciprocating co...

No PDF available ABSTRACT Acoustic and elastic metamaterials with space- and time-dependent material properties have received great attention recently as a means to realize nonreciprocal wave propagation. The nonreciprocal behavior of propagating waves in a spatiotemporally modulated infinite medium is usually characterized by directional bandgaps...

Acoustic and elastic metamaterials with time-and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One nonreciprocal device that has been demonstrated in the fields of acoustics and electromagnetism is the circulator, wh...

Additive manufacturing (AM) has expanded to a wide range of applications over the last few years, and acoustic applications are no exception. This article is an introduction to the special issue of the Journal of the Acoustical Society of America on AM and acoustics. To provide background to the reader, a brief introduction to the manufacturing app...

Advancements in additive manufacturing (AM) technology are promising for the creation of acoustic materials. Acoustic metamaterials and metasurfaces are of particular interest for the application of AM technologies as theoretical predictions suggest the need for precise arrangements of dissimilar materials within specified regions of space to refle...

A metamaterial of particular interest for underwater applications is the three-dimensional (3D) anisotropic pentamode (PM), i.e., a structure designed to support a single longitudinal wave with a sound speed that depends on the propagation direction. The present work attempts to experimentally verify anisotropic sound speeds predicted by finite ele...

High frequency noise has been observed during reciprocating sliding of metal-metal dry contact. In tribology, the study of friction and wear, this noise was historically associated with “brake squeal;” however, it has also been found to occur within structures and systems that experience high frequency, reciprocating contact of metal constituents;...

Acoustic and elastic metamaterials with time- and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One nonreciprocal device that has been demonstrated in the fields of acoustics and electromagnetism is the circulator, w...

No PDF available ABSTRACT Four-sensor impedance tubes are readily utilized for characterization of the acoustic properties of materials in a gaseous host medium, as described in the standard ASTM E2611-19. Similar acoustic characterization is desired for materials submersed in water. Previous studies have documented the challenges of performing mea...

No PDF available ABSTRACT This talk will provide a short overview and insights associated with the education and early career of the author over the past two decades and how his experiences with different cultures, both social and professional, has influenced scientific advancements. This will include a short overview of formal education in both th...

No PDF available ABSTRACT Underwater acoustic imaging traditionally utilizes phased arrays of electro-acoustic transducers to steer acoustic energy in specific directions. An alternative approach to steer acoustic beams is to use an acoustic leaky wave antenna (LWA). Acoustic LWAs consists of a single transducer attached to a dispersive antenna tha...

No PDF available ABSTRACT We report on the modeling, fabrication, and characterization of an innovative design for a heterogeneous material consisting of spherical scatterers with asymmetric material distribution embedded in a thin viscoelastic layer. The material properties of the scatterers are uniformly oriented with respect to the layer thickne...

No PDF available ABSTRACT The spatiotemporal modulation of material properties in acoustic and elastic metamaterials is one way to realize dynamic nonreciprocity for mechanical wave propagation and vibration of finite systems. A recent study on nonreciprocal vibrations of finite elastic beams has shown that strong nonreciprocal input-output respons...

No PDF available ABSTRACT This talk will introduce ongoing work in the Technical Committee on Engineering Acoustics (TCEA) of the Acoustical Society of America, which is one of the most diverse Technical Committees of the Society. Engineering Acoustics encompasses the theory and practice of creating tools to generate and investigate acoustical phen...

No PDF available ABSTRACT Conventional sound diffuser designs consist of a periodic arrangement of variable depth wells which result in a quasi-random spatial distribution of the reflected phase and minimal energy loss. Diffuser performance depends on geometric parameters such as well depth, number of elements per diffuser period, and in-plane dime...

No PDF available ABSTRACT Advances in additive manufacturing technology are promising for the creation of materials to control acoustic waves. This work presents the design of an acoustic metasurface (AMS) created from a periodic two-dimensional array of multi-material scatterers embedded in an elastomeric matrix. Finite element analysis (FEA) of t...

No PDF available ABSTRACT Accurately monitoring the safety of lithium-ion batteries to prevent a thermal runaway (TR) event is of utmost importance especially in high-power applications such as electric vehicles. The fire caused by a lithium-ion battery is particularly difficult to extinguish because of its continuous emittance of highly flammable...

No PDF available ABSTRACT Acoustic and elastic metamaterials (AEMM) are artificial materials whose performance is engineered to exceed naturally occurring materials and conventional composites, often leveraging complex microstructural geometry and strong dispersion. Generalized continuum (GC) theories, such as micromorphic elasticity, are extension...

Materials with asymmetric microstructure can constitutively couple macroscopic fields from different physics. Examples include piezoelectric materials that couple mechanical and electric fields and Willis materials that anomalously couple dynamic and elastic fields. Recently, it was shown that anomalous coupling between the elastodynamic and electr...