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Gigahertz Electromagnetic Structures via Direct Ink Writing Radio-Frequency Oscillator and Transmitter Applications Chengye Liu Inductors and Capacitors B B C. Liu et al., Advanced Material (2017) Coplanar Strip (CPS) Standing Wave Resonator


  1. Gigahertz Electromagnetic Structures via Direct Ink Writing Radio-Frequency Oscillator and Transmitter Applications Chengye Liu

  2. Inductors and Capacitors B B C. Liu et al., Advanced Material (2017)

  3. Coplanar Strip (CPS) Standing Wave Resonator (SWR) Ldz/2 (C+ β–³ C)dz Ldz/2 1 𝑀 𝑄 = 𝑀𝐷 C. Liu et al., Advanced Material (2017) W. F. Andress, D. Ham, IEEE Journal of Solid-State Circuits (2005)

  4. CPS Ring Resonators Simple CPS ring: V(𝜚 + 2𝜌) = V 𝜚 So π‘š = π‘œπœ‡ where n = 1, 2, 3 … MΓΆbius CPS ring: V(𝜚 + 𝜌) = V 𝜚 2π‘œβˆ’1 πœ‡ where n = 1, 2, 3 … So π‘š = 2 β‰ˆ C. Liu et al., Advanced Material (2017); W. F. Andress, D. Ham, IEEE Journal of Solid-State Circuits (2005)

  5. Colpitts Oscillator C. Liu et al., Advanced Material (2017)

  6. Injection-Locked Colpitts Oscillators C. Liu et al., Advanced Material (2017)

  7. Oscillators with Wave-Based Resonators C. Liu et al., Advanced Material (2017)

  8. Injection-Locked Quadrature Oscillators C. Liu et al., Advanced Material (2017)

  9. Wireless Transmitter C. Liu et al., Advanced Material (2017)

  10. Wireless Transmitter C. Liu et al., Advanced Material (2017)

  11. Thank you!

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