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Innovative Designs for Left-Handed Metamaterials Synthesis

Explore cutting-edge methods for synthesizing bulk metamaterials with various Split Ring Resonator (SRR) designs and their applications in left-handed metamaterial systems. Investigate SRR-based structures, including Edge-Coupled SRR, Broadside-Coupled SRR, and other innovative designs to achieve negative permeability and permittivity effects. Understand the principles of artificial magnetic mediums and the superposition of elements for optimal performance. Reference seminal works in the field for a comprehensive overview.

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Innovative Designs for Left-Handed Metamaterials Synthesis

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  1. Synthesis of Bulk Metamaterials Advisor: Prof. Ruey-Beei Wu Student : Hung-Yi Chien 錢鴻億 2010 / 05/ 06 1

  2. Outline • Preview • Analysis of SRR • SRR-Based Left-Handed Metamaterials 2

  3. Preview • Wire Media • Negative permittivity can be obtained when ω< ωp

  4. Analysis of Edge-Coupled SRR • EC-SRR • Initially proposed by Pendry [3] • Resonant frequency • Unwanted effect : bianisotropy [3] J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart “Magnetism from conductors and enhanced nonlinear phenomena.” IEEE Trans. Microwave Theory Tech., vol. 47, pp. 2075–2084, 1999 4

  5. Analysis of Edge-Coupled SRR • The resonant frequency of an EC-SRR can be measured by placing the EC-SRR inside a rectangular waveguide and measuring the transmission coefficient. Electric and magnetic excitation Magnetic excitation Electric excitation No excitation 5

  6. Other SRR Designs • Broadside-coupled SRR (BC-SRR) • Avoid the EC-SRR bianisotropy • Inversion symmetry • Additional advantage of much smaller electrical length • The capacitance for the BC-SRR approximately corresponds to a parallel plate capacitor. • Thin substrate of high permeability can be used. 6

  7. Other SRR Designs 7

  8. Other SRR Designs • Nonbianisotropy SRR (NB-SRR) • Avoid EC-SRR bianisotropy • Keep a uniplanar design 8

  9. Other SRR Designs • Double-split SRR (2-SRR) • Avoid EC-SRR bianisotropy • Total capacitance of the circuit • Four times smaller than the capacitance of the conventional EC-SRR. • Resonant frequency • Twice the resonant frequency of the EC-SRR • Larger electrical size at resonance 9

  10. Other SRR Designs • Spirals • Resonant frequency • Half the resonance frequency of an EC-SRR • Smaller electrical size at resonance • Present some degree of bianisotropy 10

  11. Artificial Magnetic Medium • Array of SRRs • The only necessary condition is that the size of the unit cell must be smaller than the wavelength. Ignore couplings between adjacent elements 11

  12. SRR-Based Left-Handed Metamaterials • 1-D SRR-based left-handed metamaterials • Negative permittivity of the wire system • Negative permeability of the SRR system [4] D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz “Composite medium with simultaneously negative permeability and permittivity.” Phys. Rev. Lett., vol. 84, pp. 4184–4187, 2000. 12

  13. SRR-Based Left-Handed Metamaterials • 1-D SRR-based left-handed metamaterials • A single row of SRRs is placed inside a cutoff square waveguide • Negative permittivity: the cutoff waveguide • Negative permeability: EC-SRR 13 [46] R. Marque´s, J. Martel, F. Mesa, and F. Medina “Left-handed-media simulation and transmission of EM waves in subwavelength split-ring-resonator-loaded metallic waveguides.” Phys. Rev. Lett., vol. 89, paper 183901, 2002

  14. SRR-Based Left-Handed Metamaterials • 1-D SRR-based left-handed metamaterials • Two hollow waveguides (one above and the other below cutoff) are loaded by equispaced BC-SRRs • Passband : narrow waveguide • Stopband : wider waveguide [51] J. D. Baena, R. Marque´s, J. Martel, and F. Medina “Experimental results on metamaterial simulation using SRR-loaded waveguides.” Proc. IEEE-AP/S Int. Symp. on Antennas and Propagation, pp. 106–109, 2003 14

  15. SRR-Based Left-Handed Metamaterials • 2-D SRR-based left-handed metamaterials • An orthogonal arrangement of dielectric circuit boards with EC-SRRs and metallic strips printed on each side • Negative permittivity : metallic strips • Negative permeability : EC-SRRs [52] R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz “Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial.” Appl. Phys. Lett., vol. 78, pp. 489–491, 2001 15

  16. SRR-Based Left-Handed Metamaterials • Superposition • Systems providing negative permittivity and negative permeability should be placed in the way that the interaction between its elements through its quasistatic fields is minimized. 16

  17. Reference • J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart “Magnetism from conductors and enhanced nonlinear phenomena.” IEEE Trans. Microwave Theory Tech., vol. 47, pp. 2075–2084, 1999 • D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz “Composite medium with simultaneously negative permeability and permittivity.” Phys. Rev. Lett., vol. 84, pp. 4184–4187, 2000. • R. Marque´s, J. Martel, F. Mesa, and F. Medina “Left-handed-media simulation and transmission of EM waves in subwavelength split-ring-resonator-loaded metallic waveguides.” Phys. Rev. Lett., vol. 89, paper 183901, 2002 • J. D. Baena, R. Marque´s, J. Martel, and F. Medina “Experimental results on metamaterial simulation using SRR-loaded waveguides.” Proc. IEEE-AP/S Int. Symp. on Antennas and Propagation, pp. 106–109, 2003 • R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz “Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial.” Appl. Phys. Lett., vol. 78, pp. 489–491, 2001 • Metamaterials with Negative Parameters, Ch2 17

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