Guided mode grating resonance filters have many practical applications.
The design of the optical devices presents a challenging computational
problem. Existing design tools are based on global optimization
approaches, which can be slow and expensive computationally. In this work,
the problem of determining the resonance frequency
is formulated as an eigenvalue problem. A new
optimization approach based on Newton's method
is proposed to solve the optimal design problem. Our numerical example
indicates that the approach is fast and accurate.
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