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Outputs (9)

Threaded Rings that Swim in Excitable Media (2019)
Journal Article
Cincotti, A., Maucher, F., Evans, D., Chapin, B. M., Horner, K., Bromley, E., …Sutcliffe, P. (2019). Threaded Rings that Swim in Excitable Media. Physical Review Letters, 123(25), Article 258102. https://doi.org/10.1103/physrevlett.123.258102

Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral waves of excitation. Here we consider a novel topological configuration i... Read More about Threaded Rings that Swim in Excitable Media.

Creating Complex Optical Longitudinal Polarization Structures (2018)
Journal Article
Maucher, F., Skupin, S., Gardiner, S., & Hughes, I. (2018). Creating Complex Optical Longitudinal Polarization Structures. Physical Review Letters, 120(16), Article 163903. https://doi.org/10.1103/physrevlett.120.163903

In this Letter, we show that it is possible to structure the longitudinal polarization component of light. We illustrate our approach by demonstrating linked and knotted longitudinal vortex lines acquired upon nonparaxially propagating a tightly focu... Read More about Creating Complex Optical Longitudinal Polarization Structures.

Rings on strings in excitable media (2018)
Journal Article
Maucher, F., & Sutcliffe, P. (2018). Rings on strings in excitable media. Journal of Physics A: Mathematical and Theoretical, 51(5), Article 055102. https://doi.org/10.1088/1751-8121/aaa1ba

We study the dynamics and interaction of coaxial vortex rings in the FitzHugh–Nagumo excitable medium. We find that threading vortex rings with a vortex string results in significant qualitative differences in their evolution and interaction. In part... Read More about Rings on strings in excitable media.

Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities (2017)
Journal Article
Maucher, F., Pohl, T., Krolikowski, W., & Skupin, S. (2017). Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities. Optical Data Processing and Storage, 3(1), 13-19. https://doi.org/10.1515/odps-2017-0003

We study beam propagation in the framework of the nonlinear Schrödinger equation with competing Gaussian nonlocal nonlinearities. We demonstrate that such system can give rise to self-organization of light into stable states of trains or hexagonal ar... Read More about Pattern formation in the nonlinear Schrödinger equation with competing nonlocal nonlinearities.

Excitation of knotted vortex lines in matter waves (2016)
Journal Article
Maucher, F., Gardiner, S., & Hughes, I. (2016). Excitation of knotted vortex lines in matter waves. New Journal of Physics, 18(6), Article 063016. https://doi.org/10.1088/1367-2630/18/6/063016

We study the creation of knotted ultracold matter waves in Bose–Einstein condensates via coherent two-photon Raman transitions with a Λ level configuration. The Raman transition allows an indirect transfer of atoms from the internal state $| a\rangle... Read More about Excitation of knotted vortex lines in matter waves.

Untangling knots via reaction-diffusion dynamics of vortex strings (2016)
Journal Article
Maucher, F., & Sutcliffe, P. (2016). Untangling knots via reaction-diffusion dynamics of vortex strings. Physical Review Letters, 116(17), Article 178101. https://doi.org/10.1103/physrevlett.116.178101

We introduce and illustrate a new approach to the unknotting problem via the dynamics of vortex strings in a nonlinear partial differential equation of reaction-diffusion type. To untangle a given knot, a Biot-Savart construction is used to initializ... Read More about Untangling knots via reaction-diffusion dynamics of vortex strings.

Self-organization of light in optical media with competing nonlinearities (2016)
Journal Article
Maucher, F., Pohl, T., Skupin, S., & Krolikowski, W. (2016). Self-organization of light in optical media with competing nonlinearities. Physical Review Letters, 116(16), Article 163902. https://doi.org/10.1103/physrevlett.116.163902

We study the propagation of light beams through optical media with competing nonlocal nonlinearities. We demonstrate that the nonlocality of competing focusing and defocusing nonlinearities gives rise to self-organization and stationary states with s... Read More about Self-organization of light in optical media with competing nonlinearities.

Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation (2013)
Journal Article
Maucher, F., Siminos, E., Krolikowski, W., & Skupin, S. (2013). Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation. New Journal of Physics, 15(8), Article 083055. https://doi.org/10.1088/1367-2630/15/8/083055

Quasiperiodic oscillations and shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed numerically in recent years, however, the origin of these phenomena was never completely elucidated. In thi... Read More about Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation.