Skip to main content

Research Repository

Advanced Search

All Outputs (4)

Microwave Studies of Three Chiral Ensembles in Chains of Coupled Dielectric Resonators (2021)
Journal Article
Richter, M., Rehemanjiang, A., Kuhl, U., & Stöckmann, H. J. (2021). Microwave Studies of Three Chiral Ensembles in Chains of Coupled Dielectric Resonators. Acta Physica Polonica A, 140(6), 492-509. https://doi.org/10.12693/APHYSPOLA.140.492

Random matrix theory has proven very successful in the understanding of the spectra of chaotic systems. Depending on symmetry with respect to time reversal and the presence or absence of a spin 1/2 there are three ensembles, the Gaussian orthogonal,... Read More about Microwave Studies of Three Chiral Ensembles in Chains of Coupled Dielectric Resonators.

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.

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.

Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles (2020)
Journal Article
Rehemanjiang, A., Richter, M., Kuhl, U., & Stöckmann, H. (2020). Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles. Physical Review Letters, 124(11), Article 116801. https://doi.org/10.1103/physrevlett.124.116801

Random matrix theory has proven very successful in the understanding of the spectra of chaotic systems. Depending on symmetry with respect to time reversal and the presence or absence of a spin 1/2 there are three ensembles, the Gaussian orthogonal (... Read More about Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles.