Beyond standard wave propagation

What is beyond standard wave propagation?

Clicking on the figure above opens an animation of wave propagation in a time-dependent material. In this example, the material's propagation velocity changes abruptly from 1500 m/s to 2500 m/s at t=50 μs. This so-called time boundary causes a reflected wave, propagating back to its origin, and a transmitted wave, propagating further away from its origin. More information can be found here.

This webpage contains a number of papers on non-standard wave propagation in exotic materials, such as non-reciprocal media, metamaterials with negative parameters (and negative refraction indices), materials with parity-time symmetry and time-dependent materials.

Journal papers on non-standard wave propagation

Copyright: The authors and the publishers: Acoustical Society of America (Journal of the Acoustical Society of America), Elsevier (Wave Motion), IOP Publishing (EPL (Europhysics Letters)), MDPI (Symmetry), Royal Society (Proceedings of the Royal Society A). These articles may be downloaded for personal use only. Any other use requires prior permission of the authors and the publishers.

(9) Wapenaar, K., 2025, Reciprocity and representation theorems for rotational seismology: under review.

(8) Wapenaar, K., 2025, Green's functions, propagation invariants, reciprocity theorems, wave-field representations and propagator matrices in two-dimensional time-dependent materials: Proc. R. Soc. A, Vol. 481, 20240479.

(7) Wapenaar, K., Aichele, J., and van Manen, D.J., 2024 Waves in space-dependent and time-dependent materials: a systematic comparison: Wave Motion, Vol. 130, 103374.

(6) Van Manen, D.J., Aichele, J., Mueller, J., Serra-Garcia, M., and Wapenaar, K., 2024, On acoustic space-time media that compute their own inverse: arXiv:2406.15203.

(5) Wapenaar, K., and Slob, E., 2022, Reciprocity and representations for wave fields in 3D inhomogeneous parity-time symmetric materials: Symmetry, Vol. 14 (11), 2236.

(4) Wapenaar, K., 2020, A modified Marchenko method to retrieve the wave field inside layered metamaterial from reflection measurements at the surface: J. Acoust. Soc. Am., Vol. 148 (2), 939-953.

(3) Wapenaar, K., and Reinicke, C., 2019, Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media: J. Acoust. Soc. Am., Vol. 146 (1), 810-825.

(2) Wapenaar, K., and Reinicke, C., 2019, An acoustic imaging method for layered non-reciprocal media: EPL (Europhysics Letters), Vol. 125, 34003.

(1) Wapenaar, K., 2006, Nonreciprocal Green's function retrieval by cross correlation: J. Acoust. Soc. Am., Vol. 120 (1), EL7-EL13.


Kees Wapenaar

Page last modified: September 2024