Outputs (34)

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., Remenyte-Prescott, R., & 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.