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FORTH Modelling Heraklion: Study of SRR Structures to Improve LH Transmission

This study addresses the influence of background dielectric constant, board influence, and different unit cell sizes on the LH peak in SRR structures. The role of the dielectric constant of the board (εb) is also examined. The results show that reducing the unit cell size along the wires direction leads to higher LH transmission peaks. Additionally, the magnetic response of THz SRR structures at ~6 THz is studied and compared with theory and experiment. There is good agreement between FDTD and MWS simulations.

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FORTH Modelling Heraklion: Study of SRR Structures to Improve LH Transmission

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  1. FORTH - Modelling Heraklion, July 2004

  2. Issues addressed in the last 4 months • SRR study: The background dielectric constant influence; the board influence • Square vs non-square LHM unit cells • Examination of alternative SRR systems, with aim to improve the LH peak • SRR study: The electric cut-wire response (SRR vs cut-wires, and influence of SRR orientation) • THz SRR structures study

  3. Role of the dielectric constant of the board (b) 2m1/b 201/b

  4. E Square akxaE=5x5 mm2 Non-square (reduced) akxaE=5x3.63 mm2 Square vs. non-square unit cells (1) Unit cells reduced in size along E direction give higher LH peaks. Possible reasons: 1) Change of impedance through decrease of ’p (larger cut-wire (SRR) length  reduced 0 reduced ’p)

  5. E Non-square (reduced) akxaE=5x3.63 mm2 Square akxaE=5x5 mm2 Square vs. non-square unit cells (2) Unit cells reduced in size along E direction give higher LH peaks. Possible reasons: 2) Stronger interaction between SRRs? (wider <0 regimes  possibility for higher peak?)

  6. E k Square vs. non-square unit cells (3) Reduction of ak does not influence the LH peak

  7. SRRs of different dimensions We studied metamaterials of SRRs (of the conventional design) with different linear size, different rings width, different ringsdistance and different cuts-size with aim to improve the LH transmission, through impedance improvement. Unit cell: 5x5, 5x4.6 SRR size: 4x4 Rings width (w): 0.4 Rings distance (s): 0.2, 0.4 Gaps (g): 0.2, 0.4 No any considerable improvement compared to our experimental design

  8. SRRs of different dimensions We studied metamaterials of double unit cell size, to see if going to lower frequencies reduces the losses in the board at the LH peak No any significant improvement compared to our experimental design

  9. E E E k k k SRR vs cut-wires: Why lower 0 for the SRR? Ek EE + - - + + - - - + + 0

  10. - + E E + - k k SRR rotation and 0 0 is in most of the cases higher in A Ek EE A - - B + + 0

  11. E E Bilkent k k SRR rotation and 0 (FDTD) - + + - FORTH - - + +

  12. THz structure Unit cell: 7x7x5 m3 SRR size: 5x5 m2 All other: 1 m Board’s =2.8 (polyamide)

  13. E k 6 uc 1 uc THz structure, FDTD & MWS, in-plane incidence

  14. MWS E k THz structure, FDTD & MWS, in-plane incidence FDTD

  15. E E k k THz structure, FDTD & MWS, in-plane incidence

  16. H k E MWS FDTD THz structure, vertical incidence

  17. THz structure, inversion, in-plane incidence E H k

  18. H k E THz structure, inversion, vertical incidence

  19. Summarizing….. • Board influences “differently” the characteristic SRR frequencies (m, 0) • Unit cells reduced along the wires direction give higher LH transmission peaks • 0 (SRR-FORTH) < 0 (cut-wires) < 0 (SRR-Bilkent) • THz SRR structure: Magnetic response at ~6 THz Good agreement between theory and experiment Good agreement between FDTD and MWS

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