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Here, we present an efficient and reliable algorithm for solving a class of nonlinear eigenvalue problems arising from the modeling of particle accelerator cavities. The eigenvalue nonlinearity in these problems results from the use of waveguides to couple external power sources or to allow certain excited electromagnetic modes to exit the cavity. We use a rational approximation to reduce the nonlinear eigenvalue problem first to a rational eigenvalue problem.
We then apply a special linearization procedure to turn the rational eigenvalue problem into a larger linear eigenvalue problem with the same eigenvalues, which can be solved by existing iterative methods. By using a compact scheme to represent both the linearized operator and the eigenvectors to be computed, we obtain a numerical method that only involves solving linear systems of equations of the same dimension as the original nonlinear eigenvalue problem.
This was the first time it was possible to compute these modes directly. The damping Q factors of the computed modes match well with those measured in experiments and the difference in resonant frequencies is within the range introduced by cavity imperfection.
Therefore, the CORK method is an extremely valuable tool for computational cavity design. Similar records in OSTI. GOV collections:. GOV Journal Article: Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation.
Title: Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. Full Record Other Related Research. Abstract Here, we present an efficient and reliable algorithm for solving a class of nonlinear eigenvalue problems arising from the modeling of particle accelerator cavities. Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. United States: N. Copy to clipboard.
United States. Free Publicly Available Full Text. Accepted Manuscript DOE. Copyright Statement. Other availability. Search WorldCat to find libraries that may hold this journal. LinkedIn Pinterest Tumblr. Similar Records.
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