Next Article in Journal
A Radiological Approach to Evaluate Bone Graft Integration in Reconstructive Surgeries
Next Article in Special Issue
Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
Previous Article in Journal
Energy-Aware Online Non-Clairvoyant Scheduling Using Speed Scaling with Arbitrary Power Function
Previous Article in Special Issue
The Construction of Equivalent Particle Element Models for Conditioned Sandy Pebble
Article

Topological Photonic Media and the Possibility of Toroidal Electromagnetic Wavepackets

Graduate School of Engineering Science, Akita University, 1-1 Tegatagakuen-machi, Akita 010-8502, Japan
Appl. Sci. 2019, 9(7), 1468; https://doi.org/10.3390/app9071468
Received: 17 February 2019 / Revised: 31 March 2019 / Accepted: 3 April 2019 / Published: 8 April 2019
(This article belongs to the Special Issue Computational Methods for Fracture)
This study aims to present a theoretical investigation of a feasible electromagnetic wavepacket with toroidal-type dual vortices. The paper begins with a discussion on geometric phases and angular momenta of electromagnetic vortices in free space and periodic structures, and introduces topological photonic media with a review on topological phenomena of electron systems in solids, such as quantum Hall systems and topological insulators. Representative simulations demonstrate both the characteristics of electromagnetic vortices in a periodic structure and of exotic boundary modes of a topological photonic crystal, on a Y-shaped waveguide configuration. Those boundary modes stem from photonic helical surface modes, i.e., a photonic analog of electronic helical surface states of topological insulators. Then, we discuss the possibility of toroidal electromagnetic wavepackets via topological photonic media, based on the dynamics of an electronic wavepacket around the boundary of a topological insulator and a correspondence relation between electronic helical surface states and photonic helical surface modes. Finally, after introducing a simple algorithm for the construction of wavepacket solutions to Maxwell’s equations with multiple types of vortices, we examine the stability of a toroidal electromagnetic wavepacket against reflection and refraction, and further discuss the transformation laws of its topological properties in the corresponding processes. View Full-Text
Keywords: geometric phase; photonic orbital angular momentum; topological insulator; topological photonic crystal geometric phase; photonic orbital angular momentum; topological insulator; topological photonic crystal
Show Figures

Figure 1

MDPI and ACS Style

Onoda, M. Topological Photonic Media and the Possibility of Toroidal Electromagnetic Wavepackets. Appl. Sci. 2019, 9, 1468. https://doi.org/10.3390/app9071468

AMA Style

Onoda M. Topological Photonic Media and the Possibility of Toroidal Electromagnetic Wavepackets. Applied Sciences. 2019; 9(7):1468. https://doi.org/10.3390/app9071468

Chicago/Turabian Style

Onoda, Masaru. 2019. "Topological Photonic Media and the Possibility of Toroidal Electromagnetic Wavepackets" Applied Sciences 9, no. 7: 1468. https://doi.org/10.3390/app9071468

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop