On the vector Helmholtz equation in toroidal waveguides

Journal Article · Tue Feb 15 00:00:00 EST 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1874559· OSTI ID:20630708

Biro, Thomas ^[1]

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1. School of Mathematics and Systems Engineering, Vaexjoe University, SE-351 95 Vaexjoe (Sweden)

A wave splitting method is proposed to solve the problem of propagation of microwaves in a circular waveguide bend of circular cross section. The splitting method, applied to the vector Helmholtz equation, gives a stable solution in terms of waves propagating to the right and to the left in the bend. The formulation is particularly transparent for analyzing the scattering properties of toroidal bends. The basis for the transparency of the method is that the wave splitting is formally exact as the exponential of the square root of a differential operator. The modal functions of the straight cylindrical waveguide are chosen as basis functions in the transverse quasi-toroidal variables.

• OSTI ID: 20630708
• Journal Information: AIP Conference Proceedings, Vol. 750, Issue 1; Conference: 3. Vaexjoe conference on foundations of probability and physics, Vaexjoe (Sweden), 7-12 Jun 2004; Other Information: DOI: 10.1063/1.1874559; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CYLINDRICAL CONFIGURATION
MATHEMATICAL SOLUTIONS
MICROWAVE RADIATION
OPACITY
PROBABILITY
SCATTERING
VECTORS
WAVE PROPAGATION
WAVEGUIDES