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Closed form expressions for the Green’s function of a quantum graph – a scattering approach (2023)
Journal Article
Lawrie, T., Gnutzmann, S., & Tanner, G. K. (2023). Closed form expressions for the Green’s function of a quantum graph – a scattering approach. Journal of Physics A: Mathematical and Theoretical, 56(47), Article 475202. https://doi.org/10.1088/1751-8121/ad03a5

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the approach... Read More about Closed form expressions for the Green’s function of a quantum graph – a scattering approach.

A quantum graph approach to metamaterial design (2022)
Journal Article
Lawrie, T., Tanner, G., & Chronopoulos, D. (2022). A quantum graph approach to metamaterial design. Scientific Reports, 12(1), Article 18006. https://doi.org/10.1038/s41598-022-22265-2

Since the turn of the century, metamaterials have gained a large amount of attention due to their potential for possessing highly nontrivial and exotic properties—such as cloaking or perfect lensing. There has been a great push to create reliable mat... Read More about A quantum graph approach to metamaterial design.

Acoustic radiation from random waves on plates (2022)
Journal Article
Mohammed, N. M., Creagh, S. C., & Tanner, G. (2022). Acoustic radiation from random waves on plates. Journal of Physics A: Mathematical and Theoretical, 55(39), Article 394004. https://doi.org/10.1088/1751-8121/ac8c08

Controlling and simulating the sound radiating from complex structures is of importance in many engineering applications. We calculate the radiated acoustic power from plates with diffuse bending vibrations. We characterise the diffuse field by a two... Read More about Acoustic radiation from random waves on plates.

Guided waves-based damage identification in plates through an inverse Bayesian process (2022)
Journal Article
Wu, W., Malik, M. K., Cantero-Chinchilla, S., Lawrie, T., Yan, W. J., Tanner, G., …Chronopoulos, D. (2022). Guided waves-based damage identification in plates through an inverse Bayesian process. Ultrasonics, 125, Article 106773. https://doi.org/10.1016/j.ultras.2022.106773

The use of guided waves to identify damage has become a popular method due to its robustness and fast execution, as well as the advantage of being able to inspect large areas and detect minor structural defects. When a travelling wave on a plate inte... Read More about Guided waves-based damage identification in plates through an inverse Bayesian process.

A wave finite element approach for modelling wave transmission through laminated plate junctions (2022)
Journal Article
Aimakov, N., Tanner, G., & Chronopoulos, D. (2022). A wave finite element approach for modelling wave transmission through laminated plate junctions. Scientific Reports, 12(1), Article 1852. https://doi.org/10.1038/s41598-022-05685-y

We present a numerical method for computing reflection and transmission coefficients at joints connecting composite laminated plates. The method is based on modelling joints with finite elements with boundary conditions given by the solutions of the... Read More about A wave finite element approach for modelling wave transmission through laminated plate junctions.

A direction preserving discretization for computing phase-space densities (2021)
Journal Article
Chappell, D., Crofts, J. J., Richter, M., & Tanner, G. (2021). A direction preserving discretization for computing phase-space densities. SIAM Journal on Scientific Computing, 43(4), B884-B906. https://doi.org/10.1137/20M1352041

Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex domains at high-frequencies. Here, a Petrov-Galerkin discretization of a phase-space boundary integral equation for transporting wave ene... Read More about A direction preserving discretization for computing phase-space densities.

Transmission and reflection of waves at structural junctions connecting thin orthotropic plates (2021)
Journal Article
Aimakov, N., Tanner, G., & Chronopoulos, D. (2021). Transmission and reflection of waves at structural junctions connecting thin orthotropic plates. Wave Motion, 102, Article 102716. https://doi.org/10.1016/j.wavemoti.2021.102716

We present a semi-analytical method for computing the reflection and transmission coefficients at joints connecting an arbitrary number of semi-infinite orthotropic plates based on the line-junction approximation. We use a wave approach and describe... Read More about Transmission and reflection of waves at structural junctions connecting thin orthotropic plates.

Wireless power distributions in multi-cavity systems at high frequencies (2021)
Journal Article
Adnan, F., Blakaj, V., Phang, S., Antonsen, T. M., Creagh, S. C., Gradoni, G., & Tanner, G. (2021). Wireless power distributions in multi-cavity systems at high frequencies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2245), Article 20200228. https://doi.org/10.1098/rspa.2020.0228

The next generations of wireless networks will work in frequency bands ranging from sub-6 GHz up to 100 GHz. Radio signal propagation differs here in several critical aspects from the behaviour in the microwave frequencies currently used. With wavele... Read More about Wireless power distributions in multi-cavity systems at high frequencies.

Tunnelling around bends—Wave scattering in curved shell structures (2020)
Journal Article
Mohammed, N. M., Creagh, S. C., & Tanner, G. (2021). Tunnelling around bends—Wave scattering in curved shell structures. Wave Motion, 101, Article 102697. https://doi.org/10.1016/j.wavemoti.2020.102697

A ray dynamics describing wave transport on curved and smooth thin shells can be obtained from the underlying wave equations via the Eikonal approximation. We analyse mid-frequency effects near the ring frequency for curved plates consisting of a cyl... Read More about Tunnelling around bends—Wave scattering in curved shell structures.

Diffraction of Wigner functions (2020)
Journal Article
Creagh, S., Sieber, M., Gradoni, G., & Tanner, G. K. (2021). Diffraction of Wigner functions. Journal of Physics A: Mathematical and Theoretical, 54(1), Article 015701. https://doi.org/10.1088/1751-8121/abc72a

We describe the contribution of diffractive orbits to semiclassical approximations of Wigner function propagators. These contributions are based on diffractively scattered rays used in the geometrical theory of diffraction (GTD). They provide an exte... Read More about Diffraction of Wigner functions.

On the accuracy limits of plate theories for vibro-acoustic predictions (2020)
Journal Article
Arasan, U., Marchetti, F., Chevillotte, F., Tanner, G., Chronopoulos, D., & Gourdon, E. (2021). On the accuracy limits of plate theories for vibro-acoustic predictions. Journal of Sound and Vibration, 493, Article 115848. https://doi.org/10.1016/j.jsv.2020.115848

Several vibro-acoustic models for either single wall or multi-layer constructions are based on classical plate and first order shear deformation theories. The equivalent or condensed plate models employ the thin plate model to extract the dynamic mec... Read More about On the accuracy limits of plate theories for vibro-acoustic predictions.

Transfer operator approach to ray-tracing in circular domains (2020)
Journal Article
Slipantschuk, J., Richter, M., Chappell, D. J., Tanner, G., Just, W., & Bandtlow, O. F. (2020). Transfer operator approach to ray-tracing in circular domains. Nonlinearity, 33(11), 5773-5790. https://doi.org/10.1088/1361-6544/ab9dca

The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator equation for the energy density leads to an inhomogeneous equation wh... Read More about Transfer operator approach to ray-tracing in circular domains.

Nearfield acoustical holography – a Wigner function approach (2020)
Journal Article
Ramapriya, D. M., Gradoni, G., Creagh, S. C., Tanner, G., Moers, E., & Lopéz Arteaga, I. (2020). Nearfield acoustical holography – a Wigner function approach. Journal of Sound and Vibration, 486, Article 115593. https://doi.org/10.1016/j.jsv.2020.115593

We propose to use Wigner transformation methods as a tool for propagating measured acoustic signals from and towards a source region. We demonstrate the usefulness of the approach both for source reconstruction purposes and as a stable numerical simu... Read More about Nearfield acoustical holography – a Wigner function approach.

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures (2020)
Journal Article
Ma, S., Phang, S., Drikas, Z., Addissie, B., Hong, R., Blakaj, V., …Anlage, S. M. (2020). Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures. Physical Review Applied, 14(1), Article 014022. https://doi.org/10.1103/PhysRevApplied.14.014022

The random coupling model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short-wavelength limit. Recent studies have extended the RCM to s... Read More about Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures.

Transient ultrasonic guided wave simulation in layered composite structures using a hybrid wave and finite element scheme (2020)
Journal Article
Malik, M. K., Chronopoulos, D., & Tanner, G. (2020). Transient ultrasonic guided wave simulation in layered composite structures using a hybrid wave and finite element scheme. Composite Structures, 246, https://doi.org/10.1016/j.compstruct.2020.112376

A guided wave simulation method for layered composites based on the wave and finite element scheme is presented. An approach for calculating complex displacement fields such as those generated from piezoelectric transducers is developed. The scatteri... Read More about Transient ultrasonic guided wave simulation in layered composite structures using a hybrid wave and finite element scheme.

Wave scattering in coupled composite plates (2019)
Conference Proceeding
Aimakov, N., Tanner, G., & Chronopoulos, D. (2019). Wave scattering in coupled composite plates. In Proceedings of Internoise 2019 , The 48th International Congress and Exhibition on Noise Control Engineering

Establishing the wave propagation characteristics at plate junctions is of great importance in the prediction of vibrational energy transmission across complex structures. A hybrid approach combining the finite element (FE) and the wave finite elemen... Read More about Wave scattering in coupled composite plates.

Active vibration control of thin constrained composite damping plates with double piezoelectric layers (2019)
Journal Article
Cao, X., Tanner, G., & Chronopoulos, D. (2020). Active vibration control of thin constrained composite damping plates with double piezoelectric layers. Wave Motion, 92, Article 102423. https://doi.org/10.1016/j.wavemoti.2019.102423

Vibrations and the damping behaviour of thin constrained composite plates with double piezoelectric layers are analytically explored by using Fourier transformation and classical laminated plate theory. Electric potential equations in the double piez... Read More about Active vibration control of thin constrained composite damping plates with double piezoelectric layers.

Wave scattering in coupled composite plates (2018)
Conference Proceeding
Aimakov, N., Tanner, G., & Chronopoulos, D. (2018). Wave scattering in coupled composite plates. In INTER-NOISE and NOISE-CON Congress and Conference Proceedings ,NOVEM 2018 (421-431)

Establishing the wave propagation characteristics at plate junctions is of great importance in the prediction of vibrational energy transmission across complex structures. A hybrid approach combining the finite element (FE) and the wave finite elemen... Read More about Wave scattering in coupled composite plates.

Stochastic electromagnetic field propagation: measurement and modelling (2018)
Journal Article
Gradoni, G., Russer, J., Baharuddin, M. H., Haider, M., Russer, P., Smartt, C., … Thomas, D. W. (2018). Stochastic electromagnetic field propagation: measurement and modelling. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 376, Article 20170455. https://doi.org/10.1098/rsta.2017.0455

This paper reviews recent progress in the measurement and modelling of stochastic electromagnetic fields, focusing on propagation approaches based on Wigner functions and the method of moments technique. The respective propagation methods are exempli... Read More about Stochastic electromagnetic field propagation: measurement and modelling.

Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields (2018)
Conference Proceeding
Baharuddin, M. H., Smartt, C., Maricar, M. I., Thomas, D. W., Gradoni, G., Creagh, S. C., & Tanner, G. (2018). Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields. In 2018 International Symposium on Electromagnetic Compatibility (EMC EUROPE) (208-213). https://doi.org/10.1109/EMCEurope.2018.8485104

A statistical approach using field-field correlation functions which is obtained from two-probe time domain measurement is used to characterize the radiation from complex devices. The time-frequency analysis provided by the measurement data has shown... Read More about Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields.

Elastodynamics on graphs: wave propagation on networks of plates (2018)
Journal Article
Brewer, C., Creagh, S. C., & Tanner, G. (2018). Elastodynamics on graphs: wave propagation on networks of plates. Journal of Physics A: Mathematical and Theoretical, 51(44), Article 445101. https://doi.org/10.1088/1751-8121/aae1d2

We consider the wave dynamics on networks of plates coupled along 1D joints. This set-up can be mapped onto an extension of wave graph systems studied in, for example, quantum graph theory. In the elastic case, different mode-types (flexural, longitu... Read More about Elastodynamics on graphs: wave propagation on networks of plates.

High-frequency structure- and air-borne sound transmission for a tractor model using Dynamical Energy Analysis (2018)
Journal Article
Hartmann, T., Morita, S., Tanner, G., & Chappell, D. J. (2019). High-frequency structure- and air-borne sound transmission for a tractor model using Dynamical Energy Analysis. Wave Motion, 87, 132-150. https://doi.org/10.1016/j.wavemoti.2018.09.012

Dynamical Energy Analysis (DEA) is a mesh-based high frequency method for modelling structure borne sound in complex built-up structures. Vibro-acoustic simulations are performed directly on finite element meshes, circumventing the need for re-modell... Read More about High-frequency structure- and air-borne sound transmission for a tractor model using Dynamical Energy Analysis.

A fast and efficient approach for simulating ultrasonic waves and their interaction with defects in periodic structures (2018)
Presentation / Conference
Malik, M. K., Chronopoulos, D., Tanner, G., Essa, Y., & De La Escalera, F. (2018, September). A fast and efficient approach for simulating ultrasonic waves and their interaction with defects in periodic structures. Paper presented at International Conference on Noise and Vibration Engineering (ISMA2018)

An approach for simulating transient wave propagation in periodic waveguides is presented. Free and forced propagation of ultrasonic waves is modelled in one dimensional periodic structures. The interaction of ultra-sonic waves with structural inhomo... Read More about A fast and efficient approach for simulating ultrasonic waves and their interaction with defects in periodic structures.

Total photoionization cross section of planar helium: scaling laws and collision orbits (2018)
Journal Article
Lee, M., Byun, C. W., Choi, N. N., & Tanner, G. (2018). Total photoionization cross section of planar helium: scaling laws and collision orbits. Journal of Physics B: Atomic, Molecular and Optical Physics, 51(18), Article 185001. https://doi.org/10.1088/1361-6455/aad8e2

The total photoionization cross section of planar helium has been calculated up to the single ionization threshold I22 of triple P states. The cross section shows chaotic fluctuations as the energy E approaches the double ionization threshold E=0. By... Read More about Total photoionization cross section of planar helium: scaling laws and collision orbits.

Wave interaction with defects in pressurised composite structures (2018)
Journal Article
Apalowo, R., Chronopoulos, D., & Tanner, G. (2018). Wave interaction with defects in pressurised composite structures. Journal of Nondestructive Evaluation, 37, Article 48. https://doi.org/10.1007/s10921-018-0501-5

There exists a great variety of structural failure modes which must be frequently inspected to ensure continuous structural integrity of composite structures. This work presents a Finite Element (FE) based method for calculating wave interaction with... Read More about Wave interaction with defects in pressurised composite structures.

Near-Field MIMO Communication Links (2018)
Journal Article
Phang, S., Ivrlac, M. T., Gradoni, G., Creagh, S. C., Tanner, G., & Nossek, J. A. (2018). Near-Field MIMO Communication Links. IEEE Transactions on Circuits and Systems I: Regular Papers, 65(9), 3027-3036. https://doi.org/10.1109/tcsi.2018.2796305

© 2004-2012 IEEE. A procedure to achieve near-field multiple input multiple output (MIMO) communication with equally strong channels is demonstrated in this paper. This has applications in near-field wireless communications, such as Chip-to-Chip (C2C... Read More about Near-Field MIMO Communication Links.

Near-field scanning and propagation of correlated low-frequency radiated emissions (2017)
Journal Article
Gradoni, G., Madenoor Ramapriya, D., Creagh, S. C., Tanner, G., Baharuddin, M. H., Nasser, H., …Thomas, D. W. (2017). Near-field scanning and propagation of correlated low-frequency radiated emissions. IEEE Transactions on Electromagnetic Compatibility, 60(6), 2045-2048. https://doi.org/10.1109/TEMC.2017.2778046

Electromagnetic radiation from complex printed circuit boards can occur over a broad frequency bandwidth, ranging from hundreds of MHz to tens of GHz. This is becoming a critical issue for assessment of EMC and interoperability as electronic componen... Read More about Near-field scanning and propagation of correlated low-frequency radiated emissions.

Wigner-Function-Based Propagation of Stochastic Field Emissions from Planar Electromagnetic Sources (2017)
Journal Article
Gradoni, G., Arnault, L. R., Creagh, S. C., Tanner, G., Baharuddin, M. H., Smartt, C., & Thomas, D. W. (2018). Wigner-Function-Based Propagation of Stochastic Field Emissions from Planar Electromagnetic Sources. IEEE Transactions on Electromagnetic Compatibility, 60(3), 580-588. https://doi.org/10.1109/TEMC.2017.2738329

© 1964-2012 IEEE. Modeling the electromagnetic radiation from modern digital systems - acting effectively as extended stochastic sources as part of a complex architecture - is a challenging task. We follow an approach here based on measuring and prop... Read More about Wigner-Function-Based Propagation of Stochastic Field Emissions from Planar Electromagnetic Sources.

Design and characterization of a diamond-shaped monopole antenna (2017)
Journal Article
Maricar, M. I., Bahar, A., Greedy, S., Smartt, C., Phang, S., Gradoni, G., …Thomas, D. W. P. (2017). Design and characterization of a diamond-shaped monopole antenna. Microwave and Optical Technology Letters, 59(10), 2695-2698. https://doi.org/10.1002/mop.30790

We report a new planar antenna design in the shape of a diamond. The performance of the antenna design is initially obtained through simulation, then fabricated, and its performance evaluated through experiment. Experimental characterization of the d... Read More about Design and characterization of a diamond-shaped monopole antenna.

Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with p-refinement (2017)
Journal Article
Bajars, J., Chappell, D., Hartmann, T., & Tanner, G. (2017). Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with p-refinement. Journal of Scientific Computing, 72(3), https://doi.org/10.1007/s10915-017-0397-8

We consider the approximation of the phase-space flow of a dynamical system on a triangulated surface using an approach known as Discrete Flow Mapping. Such flows are of interest throughout statistical mechanics, but the focus here is on flows arisin... Read More about Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with p-refinement.

Wave interaction with defects in pressurized composite structures (2017)
Conference Proceeding
Apalowo, R., Chronopoulos, D., & Tanner, G. (2017). Wave interaction with defects in pressurized composite structures.

A wave finite element (WFE) and finite element (FE) based computational method is presented by which the dispersion properties as well as the wave interaction coefficients for one-dimensional structural system can be predicted. The structural system... Read More about Wave interaction with defects in pressurized composite structures.

Propagating wave correlations in complex systems (2016)
Journal Article
Creagh, S. C., Gradoni, G., Hartmann, T., & Tanner, G. (2016). Propagating wave correlations in complex systems. Journal of Physics A: Mathematical and Theoretical, 50(4), Article 45101. https://doi.org/10.1088/1751-8121/50/4/045101

We describe a novel approach for computing wave correlation functions inside finite spatial domains driven by complex and statistical sources. By exploiting semiclassical approximations, we provide explicit algorithms to calculate the local mean of t... Read More about Propagating wave correlations in complex systems.

Transport of phase space densities through tetrahedral meshes using discrete flow mapping (2016)
Journal Article
Bajars, J., Chappell, D., Søndergaard, N., & Tanner, G. (in press). Transport of phase space densities through tetrahedral meshes using discrete flow mapping. Journal of Computational Physics, 328, https://doi.org/10.1016/j.jcp.2016.10.019

Discrete flow mapping was recently introduced as an efficient ray based method determin- ing wave energy distributions in complex built up structures. Wave energy densities are transported along ray trajectories through polygonal mesh elements using... Read More about Transport of phase space densities through tetrahedral meshes using discrete flow mapping.

Time domain measurement of near field emissions from complex PCBs (2016)
Conference Proceeding
Thomas, D., Greedy, S., Smartt, C., Nasser, H., Baharuddin, M., Gradoni, G., …Tanner, G. (2016). Time domain measurement of near field emissions from complex PCBs. . https://doi.org/10.1109/EuMC.2016.7824441

This paper discusses how the measurements of the near-field emissions in the time domain can be used to characterize the broadband emissions from complex sources such as multifunctional Printed Circuit Boards (PCBs). The near- fields, transverse to t... Read More about Time domain measurement of near field emissions from complex PCBs.

Transfer operator approach for cavities with apertures (2016)
Conference Proceeding
Gradoni, G., Creagh, S. C., & Tanner, G. (2016). Transfer operator approach for cavities with apertures. In 2016 URSI International Symposium on Electromagnetic Theory (EMTS) (682-685). https://doi.org/10.1109/URSI-EMTS.2016.7571490

We describe a representation of the boundary integral equations for wave propagation in enclosures which leads to a direct description of transport and dynamical characteristics of the problem. The formalism is extended to account for arbitrary and p... Read More about Transfer operator approach for cavities with apertures.

A phase-space approach for propagating field–field correlation functions (2015)
Journal Article
Gradoni, G., Creagh, S. C., Tanner, G., Smartt, C., & Thomas, D. W. (2015). A phase-space approach for propagating field–field correlation functions. New Journal of Physics, 17, Article 093027. https://doi.org/10.1088/1367-2630/17/9/093027

We show that radiation from complex and inherently random but correlated wave sources can be modelled efficiently by using an approach based on the Wigner distribution function. Our method exploits the connection between correlation functions and the... Read More about A phase-space approach for propagating field–field correlation functions.

Quantum walks and quantum search on graphene lattices (2015)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2015). Quantum walks and quantum search on graphene lattices. Physical Review A, 91(6), Article 062323. https://doi.org/10.1103/PhysRevA.91.062323

Quantum walks have been very useful in developing search algorithms in quantum information, in particular for devising of spatial search algorithms. However, the construction of continuous-time quantum search algorithms in two-dimensional lattices ha... Read More about Quantum walks and quantum search on graphene lattices.

Microwave experiments simulating quantum search and directed transport in artificial graphene (2015)
Journal Article
Böhm, J., Bellec, M., Mortessagne, F., Kuhl, U., Barkhofen, S., Gehler, S., …Tanner, G. (2015). Microwave experiments simulating quantum search and directed transport in artificial graphene. Physical Review Letters, 114(11), Article 110501. https://doi.org/10.1103/PhysRevLett.114.110501

A series of quantum search algorithms have been proposed recently providing an algebraic speedup compared to classical search algorithms from N to \sqrt{N}, where N is the number of items in the search space. In particular, devising searches on regul... Read More about Microwave experiments simulating quantum search and directed transport in artificial graphene.

A boundary integral formalism for stochastic ray tracing in billiards (2014)
Journal Article
Chappell, D., & Tanner, G. (in press). A boundary integral formalism for stochastic ray tracing in billiards. Chaos, 24, Article 043137. https://doi.org/10.1063/1.4903064

Determining the flow of rays or non-interacting particles driven by a force or velocity field is fundamental to modelling many physical processes. These include particle flows arising in fluid mechanics and ray flows arising in the geometrical optics... Read More about A boundary integral formalism for stochastic ray tracing in billiards.

Quantum search on graphene lattices (2014)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, Article 070504. https://doi.org/10.1103/PhysRevLett.112.070504

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion r... Read More about Quantum search on graphene lattices.

Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures (2014)
Journal Article
Chappell, D. J., Loechel, D., Sondergaard, N., & Tanner, G. (2014). Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures. Wave Motion, 51(4), https://doi.org/10.1016/j.wavemoti.2014.01.004

We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energ... Read More about Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures.

In–out decomposition of boundary integral equations (2013)
Journal Article
Creagh, S. C., Hamdin, H. B., & Tanner, G. (2013). In–out decomposition of boundary integral equations. Journal of Physics A: Mathematical and Theoretical, 46(43), Article 435203. https://doi.org/10.1088/1751-8113/46/43/435203

We propose a reformulation of the boundary integral equations for the Helmholtz equation in a domain in terms of incoming and outgoing boundary waves. We obtain transfer operator descriptions which are exact and thus incorporate features such as diff... Read More about In–out decomposition of boundary integral equations.

Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs (2013)
Journal Article
Waltner, D., Gnutzmann, S., Tanner, G., & Richter, K. (2013). Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs. Physical Review E, 87(5), https://doi.org/10.1103/PhysRevE.87.052919

We study implications of unitarity for pseudo-orbit expansions of the spectral determinants of quantum maps and quantum graphs. In particular, we advocate to group pseudo-orbits into sub-determinants. We show explicitly that the cancellation of long... Read More about Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs.

Analysis of a near field MIMO wireless channel using 5.6 GHz dipole antennas
Conference Proceeding
Maricar, M. I., Gradoni, G., Greedy, S., Ivrlac, M. T., Nossek, J. A., Phang, S., …Thomas, D. W. (in press). Analysis of a near field MIMO wireless channel using 5.6 GHz dipole antennas.

Understanding the impact of interference upon the performance of a multiple input multiple output (MIMO) based device is of paramount importance in ensuring a design is both resilient and robust. In this work the effect of element-element interferenc... Read More about Analysis of a near field MIMO wireless channel using 5.6 GHz dipole antennas.