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Accurate Modelling of Modern Photonic Devices with Complex Geometries in Transverse Plane and Longitudinal Direction
Dušan Djurdjević
This paper reviews some key techniques for design of new high performance photonic devices and widely used optoelectronic components. The emphasis of this work is upon numerical simulation techniques for integrated photonics, based on the numerical solution of the 3D vector Helmholtz’s equation subject to open boundary conditions. In particular, the focus is on the beam propagation method (BPM) and its most popular variant: the finite difference beam propagation method (FD-BPM). Recently developed co-ordinate transformation approaches, such as the structure-related (SR) FD-BPM, allow the comfortable analysis of a wide variety of geometrically complex photonic structures, especially when the structure under analysis is changing in the longitudinal direction or in the transversal plane, containing oblique or curved dielectric interfaces. The SR-FD-BPM is a particularly attractive modelling tool for the expected complexity of the near-future photonic integrated circuitry (PIC). Some illustrative design examples, based on the efficient co-ordinate transformation and structure related algorithms, are presented in the paper. Key words: optoelectronics, photonics, beam propagation, integrated circuits, numerical simulation, finite difference method.
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