Good day,
I investigate the 3D FDTD and TMM simulations in terms of the grating waveguide.
I'm currently setting up the simulation environment and verifying the similarity between the 3D FDTD simulations and TMM using the textbook, the 'L. Chrostowski and M. E. Hochberg, Silicon photonics design. Cambridge University Press, 2015.'
Utilizing the script ( of the textbook, it makes my work more convenient to set up the simulation. But, in comparison to the 3D FDTD and TMM, there are some gaps in the transmission graph.
The figure shows two transmissions running just your scripts, matching the physical parameters like 200 number of periods, 310nm period, 50nm delta width, and 500 Npoints. However, the reflection width of the 3D FDTD is narrower than the TMM although I tuned to the physical parameters. I know that the corrugation width influences the reflection width in the transmission due to the coupling coefficient, but they are the same. I was wondering the reason for the difference and I assume the reason is that the TMM doesn't consider the y and z boundary conditions. I'd be grateful if anyone could help Thank you
y ve z sınır koşulları dalga kılavuzunun genliğini etkiler. Dalga kılavuzunun yoğunluğu onun nasıl tepki vereceğini belirler. Sağ taraftaki dalga kılavuzu daha yoğun olduğu için daha büyük tepki verir.
As you said I understand, that the gap between the 3D FDTD and TMM in the transmission graph is caused by 3D FDTD's boundary conditions with y and z. Is it right? I can show you a couple of codes about TMM and 3D FDTD.
Kim Kangseok Şükrü Aktaş
1. Dimensionality
2. Spatial Resolution
3. Boundary Conditions
4. Material Models: FDTD simulations can account for complex material models, including dispersive and anisotropic materials, with more accuracy. TMM, while versatile, may use simplified material models or assume certain material properties to make calculations tractable. These simplifications can introduce discrepancies, particularly when dealing with materials that exhibit strong dispersion or anisotropy.
5. Computational Resources
Good luck!!
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