期刊
OPTICAL AND QUANTUM ELECTRONICS
卷 50, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/s11082-018-1352-0
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We describe a GNU-OCTAVE implementation of the Jacobi-Davidson style QR method for the estimation of interior eigenvalues in photonic crystal structures. The photonic eigenproblem is reduced to a matrix eigenproblem using plane-wave expansion. We show that a single-step solution of the Jacobi-Davidson correction equation combined with a simple diagonal Jacobi pre-conditioner are quite time efficient compared to other schemes including the Jacobi-Davidson with bi-orthogonal basis, conjugate gradient minimization of the Rayleigh Ritz quotient and implicitly restarted Lanczos methods. Our implementation is freely available on the web.
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