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Dispersion Diagram of a Unit Cell of a Periodic Structure

Hi,

I am trying to introduce to my students on how FEKO is used to simulate the dispersion diagram of the well-known unit mushroom cell developed by Sievenpipper as reported in Fig. 10 of attached paper. Results from CST is attached for reference. I wonder if Altair have any such model model or tutorial with procedure outlined for such an application.

Thank you and best regards

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Torben Voigt

Hi Professor Hussain Al-Rizzo,

I will try to set up a FEKO model for you.

Torben Voigt

Attached an example Sievenpiper.cfx, based on the paper. I did not take into account the dimensions/distances in the paper, but you can can change these easily by changing variables ra, h (distance to ground) and distance (spacing between the hexagons).

image.png.bbe7dac2add64201a715ef0a093f0b2c.png <?xml version="1.0" encoding="UTF-8"?>

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Altair Forum User

Hi Dr. Torben,

Thank you for your kind response. I will run the model an update you,

Best regards

Altair Forum User

Hi Dr. Torben,

Thank you for your kind reply. I ran the model, however, the problem that I am seeking is an eignevalue problem and the geometry is not the FSS you have used. The geometry is a grounded substrate with a via and conducting patch on top. Then the natural modes are usually found from an eigen mode solver after adding an air layer and PML. There is a lengthy procedure to follow by varying the phase among three periodic axes called Brillouin zone (from solid state physics). The final results are represented by a dispersion diagram frequency versus phase for a number (usually three) for TM and TE modes. I have searched the literature on FEKO and dispersion diagram and did not find results reported using FEKO. Currently, Lumerical, CST (application note attached), and HFSS have separate eignemode solver to perform such calculations.

Therefore, I wonder if you can solve this problem using FEKO?

Thank you and best regards

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Torben Voigt

Hello Professor Hussain Al-Rizzo,

I was only concentrating on the creation of the infinite structure like shown in

image.png.dd63b8c65ca9f3ee5b0a5d964b4bf482.png

Regarding the option of dispersion diagrams of infinite (Periodic Boundary Condition) structures in FEKO, there is a feature request under discussion. This feature request was originally started from an email from you to FEKO Support in November 2012 /emoticons/default_smile.png' srcset='/emoticons/smile@2x.png 2x' title=':)' width='20' /> I will in any case keep you updated if there are good news for you.

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Altair Forum User

Dear Dr. Voigt,

Thank you for your kind reply. I entered history in FEKO since 2012, I forgot that e mail. Adding this option will be an exceptional addition to the value of FEKO in the metamaterial world. Thank you and best regard.