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Lineare Spiele in der StichprobentheorieSchmidt, Jochen. Unknown Date (has links) (PDF)
Universiẗat, Diss., 2002--Mannheim.
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Existence of the guided modes of an optical fiberSolov'ëv, Sergey I. 11 April 2006 (has links) (PDF)
The present paper is devoted to the investigation of the guided wave problem. This problem is formulated as the eigenvalue problem with a compact self-adjoint operator pencil. Applying the minimax principle for the compact operators in the Hilbert space we obtain a necessary and sufficient condition for the existence of a preassigned number of linearly independent guided modes. As a consequence of this result we also derive simple sufficient conditions, which can be easily applied in practice. We give a statement of the problem in a bounded domain and propose an efficient method for solving the problem.
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Existence of the guided modes of an optical fiberSolov'ëv, Sergey I. 11 April 2006 (has links)
The present paper is devoted to the investigation of the guided wave problem. This problem is formulated as the eigenvalue problem with a compact self-adjoint operator pencil. Applying the minimax principle for the compact operators in the Hilbert space we obtain a necessary and sufficient condition for the existence of a preassigned number of linearly independent guided modes. As a consequence of this result we also derive simple sufficient conditions, which can be easily applied in practice. We give a statement of the problem in a bounded domain and propose an efficient method for solving the problem.
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