Eigenmodes for electromagnetic waves propagating in a toroidal cavity--

Journal Article · Thu Feb 01 04:00:00 EST 1990 · IEEE Transactions on Plasma Science (Institute of Electrical and Electronics Engineers); (USA)

DOI:https://doi.org/10.1109/27.45509· OSTI ID:6894239

Janaki, M S; Dasgupta, B ^[1]

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1. Saha Inst. of Nuclear Physics, Calcutta (India)

The authors have attempted a solution of the Helmholtz equation for an electromagnetic wave propagating in an empty torus in a system of toroidal coordinates by expressing the electromagnetic fields in terms of the Hertz vector to obtain a scalar Helmholtz equation. The latter has been solved by making use of an inverse-aspect ratio expansion of the solution. The authors have obtained solutions in terms of hypergeometric functions whose static limit are the toroidal harmonics. The cylindrical solutions in terms of Bessel functions can also be recovered by taking the appropriate large-aspect ratio limit. The eigenmodes, with arbitrary toroidal and poloidal mode numbers, have been obtained by applying the boundary conditions on the metallic walls of infinite conductivity, and they cannot be distinguished as TE or TM modes. Eigenfrequencies for various toroidal and poloidal mode numbers are plotted against the inverse aspect ratio. First-order approximations to the fields in the toroidal cavity are derived.

• OSTI ID: 6894239
• Journal Information: IEEE Transactions on Plasma Science (Institute of Electrical and Electronics Engineers); (USA), Journal Name: IEEE Transactions on Plasma Science (Institute of Electrical and Electronics Engineers); (USA) Vol. 18:1; ISSN 0093-3813; ISSN ITPSB
• Country of Publication: United States
• Language: English

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CLOSED CONFIGURATIONS
CONFIGURATION
ELECTROMAGNETIC PULSES
ELECTROMAGNETIC RADIATION
ELECTRONIC EQUIPMENT
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