Driven linear modes: Analytical solutions for finite discrete systems |
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| Authors: | N. Lazarides G.P. Tsironis |
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| Affiliation: | a Department of Physics, University of Crete, and Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 2208, 71003 Heraklion, Greece
b Department of Electrical Engineering, Technological Educational Institute of Crete, P.O. Box 140, Stavromenos, 71500 Heraklion, Crete, Greece |
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| Abstract: | We have obtained exact analytical expressions in closed form, for the linear modes excited in finite and discrete systems that are driven by a spatially homogeneous alternating field. Those modes are extended for frequencies within the linear frequency band while they are either end-localized or end-avoided for frequencies outside the linear frequency band. The analytical solutions are resonant at particular frequencies, which compose the frequency dispersion relation of the finite system. |
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| Keywords: | Linear driven modes Tridiagonal matrix inversion Linear lattices |
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