Title : A perspective on vectorial Fourier optics
일시 : 2024년 4월 16일(화), 17시
Speaker : Kim, Hwi (고려대)
Abstract :
Electromagnetic simulation on large-scale photonic structures has been strongly required in industrial optical and photonic engineering. In particular, electromagnetic simulation of large-scale three-dimensional photonic structures is a challenge. This talk introduces the vectorial Fourier optics approach for large-scale photonic simulation and addresses related issues.
In the well-known framework of vector Fourier optics, the Fourier modal method (FMM), the vectorial optical field distribution and propagation in inhomogeneous media is represented by the Fourier series. The linear combination of eigenmodes expands the optical field, and the Fourier series expansions represent the eigenmodes. Maxwell’s equations are interpreted by the non-Hermitian dense complex eigenvalue equation of the Fourier coefficients. The issue is that, for industrial large-scale photonic structures, FMM is very limited by the huge computation cost for solving the essential eigenvalue problem.
The recent research proposes a new angle of view for large-scale photonic structure analysis. The photonic structure is viewed as the complex optically coupled photonic network of multiple spatially divided blocks. In this photonic network model, each local block's eigenmodes are obtained with reasonable scale computation, and the analysis of the inter-modal optical coupling and energy exchange over the network is mainly focused. Based on this network concept, a new framework of vector Fourier optics that can efficiently deal with large-scale photonic structures can be built up.
The Fourier coupled modal method (FCMM) is the modeling approach to modal coupling and energy exchange of photonic networks, and it leads to an efficient and flexible parallel computation scheme for large-scale optical structures. The essential idea and physical principle of the Fourier coupled modal method (FCMM) is introduced, and the related issues in parallel computation of large-scale photonic structure are discussed.