All Outputs (4)

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.

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.

Uncertainty quantification for phase-space boundary integral models of ray propagation (2018)
Journal Article
Chappell, D. J., & Tanner, G. (2018). Uncertainty quantification for phase-space boundary integral models of ray propagation. Wave Motion, https://doi.org/10.1016/j.wavemoti.2018.08.010

Total photoionization cross section of planar helium: scaling laws and collision orbits (2018)
Journal Article
Lee, M.-H., 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.