| 1. |
- Folkow, Peter, 1968, et al.
(författare)
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Direct and inverse problems on nonlinear rods
- 1999
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Ingår i: Mathematics and Computers in Simulation. - 0378-4754. ; 50, s. 577-595
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Tidskriftsartikel (refereegranskat)abstract
- In this paper a class of models on nonlinear rods, which includes spatial inhomogeneities, varying cross-sectional area and arbitrary memory functions, is considered. The wave splitting technique is applied to provide a formulation suitable for numerical computation of direct and inverse problems. Due to the nonlinearity of the material, there are no well defined characteristics other than the leading edge, so the method of characteristics, highly successful in the computation of linear wave splitting problems, is abandoned. A standard finite difference method is employed for the direct problem, and a shooting method is introduced for the inverse problem. The feasibility of the inverse algorithm is presented in various numerical examples.
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| 2. |
- Karlsson, Anders, et al.
(författare)
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Transient electromagnetic wave propagation in transverse periodic media
- 1996
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Ingår i: Wave Motion. - : Elsevier BV. - 0165-2125. ; 23:3, s. 259-277
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, a time-domain technique is used to analyze the wave propagation of electromagnetic pulses in media that are periodic in one spatial direction, perpendicular to the direction of propagation. The wave equation is reduced to a system of one-dimensional first order time dependent hyperbolic equations by a Fourier expansion in the transverse spatial direction and by utilizing a wave splitting technique. The method is especially useful for the propagation of broad pulses.
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| 3. |
- Karlsson, Anders, et al.
(författare)
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Transient Electromagnetic Wave Propagation in Transverse Periodic Media
- 1994
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- In this paper, wave propagation of electromagnetic pulses in media that are periodic in one spatial direction is analyzed by a time domain technique. The special case of wave propagation in an inhomogeneous planar waveguide with perfectly conducting walls is also discussed. The wave equation is reduced to a set of one dimensional first order hyperbolic equations by an expansion in a complete set of basis functions and by utilizing a wave splitting technique. The method is especially useful for the propagation of broad pulses.
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| 4. |
- Karlsson, Anders, et al.
(författare)
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Wave splitting and imbedding equations for a spherically symmetric dispersive medium
- 1992
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Ingår i: Invariant inbedding and inverse problems. - 0898713056 ; , s. 103-113
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- The direct problem of time dependent electromagnetic scattering in the dispersive sphere is solved by a wave splitting technique. The electric field is expanded in a series involving vector spherical harmonics, leading to a system of wave equations for each term. These systems are reduced to scalar wave equations for each term, which are solved via reflection operators. Some preliminary numerical results are presented.
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| 5. |
- Karlsson, Anders, et al.
(författare)
-
Wave splitting and imbedding equations for a spherically symmetric dispersive medium
- 1991
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The direct problem of time dependent electromagnetic scattering in the dispersive sphere is solved by a wave splitting technique. The electric field is expanded in a series involving vector spherical harmonics, leading to a system of wave equations for each term. These systems are reduced to scalar wave equations for each term, which are solved via reflection operators. Some preliminary numerical results are presented.
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