Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Z57: General Physics
11:30 AM–1:18 PM,
Friday, March 10, 2023
Room: Room 303
Sponsoring
Unit:
APS
Abstract: Z57.00007 : Singular Locally Propagating Azimuthal Electromagnetic Fields
12:42 PM–12:54 PM
Presenter:
Mustafa S Bakr
(University of Oxford)
Authors:
Mustafa S Bakr
(University of Oxford)
Smain Amari
(Royal Military College of Canada)
We investigate locally propagating azimuthal electromagnetic waves where the ‘propagation’ constant m, which controls the angular variation eimΦ, is continuous instead of assuming only integer values. An interesting outcome of this study is that in circular waveguides, the transverse components of the electromagnetic field become singular at the centre (ρ=0) but remain square integrable for all values of 0<m<1. The lowest TE branch starts from a resonance at m=0 where the energy is logarithmically singular. The singular nature of these local fields is an intrinsic property that is not imposed by the boundary conditions of the waveguide. It is due to the cylindrical symmetry instead. Similar local singularities appear in spherical electromagnetic waves. Resonant structures exhibiting these singular solutions are presented. It is suggested that naturally occurring energetic phenomena might involve these singular electromagnetic waves.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700