![]() This is why the EME method is very efficient for scanning the lengths of devices, as demonstrated in the Spot Size Converter Example. Once in analysis mode, the user can change the propagation distance of each section arbitrarily without having to repeat step 1. This step can be carried out very quickly. The internal fields can also be reconstructed, if desired. The simulation is now in analysis mode, and the solution to each section can be propagated bi-directionally to calculate the S matrix of the entire device. This is the most time consuming portion of the EME calculation. Scattering matrices for each section are then formulated by matching the tangential E and H fields at the cell boundaries. These modes are computed by dividing the geometry into multiple cells and then solving for the modes at the interface between adjacent cells. The algorithm is fully vectorial and bi-directional, and offers a good alternative to FDTD-based methods for long propagation distances. The methodology involves 2 key steps:ฤก. The modal decomposition of electromagnetic fields into a basis set of eigenmodes. The EME method is a frequency domain method for solving Maxwell's equations. The computational cost of the method scales exceptionally well with the device length, making it much more efficient for the design and optimization of long tapers and periodic devices compared to FDTD-based methods. The bidirectional eigenmode expansion (EME) solver is ideal for simulating light propagation over long distances. ![]()
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