A quantum graph approach to metamaterial design - presented by Prof Gregor Tanner

A quantum graph approach to metamaterial design

Prof Gregor Tanner

Prof Gregor Tanner
Slide at 38:26
Content Gregor Introduction to Scattering on Quantum Graphs Lawrie, T., Gnutzmann, S. and Tanner, G., 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), 5.475202. Periodic Quantum Graphs as Metamaterials Lawrie, T., Tanner, G. and Chronopoulos, D., 2022. A quantum graph approach to metamaterial design. Scientific Reports, 12(1), p.18006. Lawrie, T.M., Starkey, T.A., Tanner, G., Moore, D.B., Savage, P. and Chaplain, G.J., 2024. Application of quantum graph theory to metamaterial design: Negative refraction of acoustic waveguide modes. Physical Review Materials, 8(10), .105201. A Non-diffracting Resonant Angular Filter Lawrie, T., Tanner, G. and Chaplain, G., 2024. A Non-diffracting Resonant Angular Filter. arXiv preprint arXiv:2410.17329.
1
2
3
4
References
  • 1.
    T. Lawrie et al. (2023) Closed form expressions for the Green’s function of a quantum graph—a scattering approach. Journal of Physics A: Mathematical and Theoretical
  • 2.
    T. Lawrie et al. (2022) A quantum graph approach to metamaterial design. Scientific Reports
  • 3.
    T. M. Lawrie et al. (2024) Application of quantum graph theory to metamaterial design: Negative refraction of acoustic waveguide modes. Physical Review Materials
  • 4.
    2410.17329
Share slide
Summary (AI generated)

The utility of this concept lies in its ability to generalize effects in a meaningful way. Tristan has enhanced this idea by exploring 2D surfaces that exist between 3D volumes. This approach allows for the selective imprinting of transmitted and reflected information in a two-dimensional format.

One potential application involves filtering specific waves. For instance, if an interface reflects vertically, it can be utilized for edge detection. By filtering out certain curvatures, we can identify where objects begin and end, thereby facilitating various applications in edge detection and object delineation.