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Design of Slotline Ring Resonator

Design of Slotline Ring Resonator. 報告人:施冠州 日 期:2003/02/27. 大綱. 簡介 設計原理 設計步驟 結論 參考資料. 簡介. Slotline configuration [4][7]. FIELD DISTRIBUTION IN CROSS-SECTION VIEW [7]. 設計原理. Circuit configuration of the slotline ring resonator with different coupling schemes[1,2,8]. Slotline ring.

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Design of Slotline Ring Resonator

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  1. Design of Slotline Ring Resonator 報告人:施冠州 日 期:2003/02/27

  2. 大綱 • 簡介 • 設計原理 • 設計步驟 • 結論 • 參考資料

  3. 簡介 • Slotline configuration [4][7]

  4. FIELD DISTRIBUTION IN CROSS-SECTION VIEW [7]

  5. 設計原理 • Circuit configuration of the slotline ring resonator with different coupling schemes[1,2,8] Slotline ring

  6. The frequencies of the slotline ring resonator are determined by 2πR = nλg[1,2] • R is the mean radius of the slotline ring • λg is the slotline guide wavelength • n is the mode number

  7. The resonant frequency of a ring with a mean radius R can be calculated by • εeff is the effcetive dielectric constant • c is the speed of light

  8. 參數介紹(Harmonica) G:Gap width Z0 (Z0) :Transmission line impedance F:Analysis frequency ER(εr) :Relative dielectric constant H:Substrate thickness HL:Distance between bottom of substrate and ground HU:Cover height above substrate A:Width between sidewalls

  9. For synthesis of slot line transmission lines, the parameters Z0, H, HU, HL, A, F and ER must be entered prior to clicking the Synthesis button. The width, G, will be computed. T/G < 0.02 (T is the total conductor thickness) • Harmonica • Microwave office εr must be ≦ 20 the parameters G, H, F and ER must be entered to clicking the button. The impedance, Z0, will be computed or enter the parameters Z0, H, F and ER to clicking the button. The width, G, will be computed.

  10. w:Gap width Z0 :Transmission line impedance F:Analysis frequency εr:Relative dielectric constant h:Substrate thickness λ0 :free-space wavelength λg:slot mode wavelength

  11. 9.8≦εr≦20.0 high dielectric constants • (1)0.02 ≦ w/h ≦0.2 (2)0.2 ≦ w/h ≦1.0 • (3)0.01 ≦ h/λ0≦0.25/(εr –1.0)0.5 • 3.8≦εr≦9.8 intermediate dielectric constants • (1)0.0015 ≦ w/ λ0≦0.075 • (2)0.0075 ≦ w/ λ0≦1.0 • (3)0.006 ≦ h/λ0≦0.06 • 2.2≦εr≦3.8 lower dielectric constants • (1)0.0015 ≦ w/ λ0≦0.075 • (2)0.0075 ≦ w/ λ0≦1.0 • (3)0.006 ≦ h/λ0≦0.06 • The equations for design are from [3]~[5]

  12. 3.8≦εr≦9.8 , 0.0015 ≦ w/ λ0≦0.075

  13. The expressions obtained by curve fitting the numerical results.

  14. approximations for slot line [6] [7]

  15. 設計步驟 • substrate – h (thickness) , εr (dielectric constant) • film thickness • resonant f (Hz) • coupling methods (cpw,slot,microstrip……) • Z0 () → w (line width) → εeff → R By equation By eq. or microwave office or harmonic.

  16. 範例 • G-10 : h =15 00μm , εr =4.6 • film thickness = 100 μm • resonant f = 2G Hz • coupling methods → CPW • Z0 = 50  → CPW: w=1500μm, g=410μm • Z0 = 85  → slotline: G=530μm, εeff =1.913279, R=17259μm . • coupling gap=546μm

  17. Coupling gap Slotline ring CPW • The CPW-fed Slotline Ring Configuration

  18. 結論 • The slot transmission line has a simple planar geometry that is compatible with microwave integrated circuit. • Various coupling methods were devised for different applications. • The slotline annular ring element with the advantages of good performance and ease of adding series and shunt components. • Slotline types of annular ring elements have been developed as circuit components for the resonator, filter, latching phase shifters and hybrid coupler.

  19. 參考資料 [1] Chien-Hsun Ho; Lu Fan; Kai Chang,” Slotline annular ring elements and their applications to resonator, filter and coupler design”, Microwave Theory and Techniques, IEEE Transactions on , Volume: 41 Issue: 9 , Sep 1993 Page(s): 1648 –1650. [2] Navarro, J.A.; Lu Fan; Kai Chang,” The coplanar waveguide-fed electronically tunable slotline ring resonator”, Microwave Symposium Digest, 1992., IEEE MTT-S International , 1-5 Jun 1992 Page(s): 951 -954 vol.2. [3] Brian C. Wadell,'Transmission Line Design Handbook",1991 ARTECH HOUSE,INC.page(s):156~161. [4] Garg, R.; Gupta, K.C.,” Expressions for Wavelength and Impedance of a Slotline (Letters)”, Microwave Theory and Techniques, IEEE Transactions on , Volume: 24 Issue: 8 , Aug 1976 Page(s): 532 –532. [5] Janaswamy, R.; Schaubert, D.H.,” Characteristic Impedance of a Wide Slotline on Low-Permittivity Substrates (Short Paper)”, Microwave Theory and Techniques, IEEE Transactions on , Volume: 34 Issue: 8 , Aug 1986 Page(s): 900 –902.

  20. [6] Cohn, S.B.,” Slot Line on a Dielectric Substrate”, Microwave Theory and Techniques, IEEE Transactions on , Volume: 17 Issue: 10 , Oct 1969 Page(s): 768 –778. [7] Cohn, S.B.,” Slot Line - An Alternative Transmission Medium for Integrated Circuits”, Microwave Symposium Digest, 1967 G-MTT International , Volume: 68 Issue: 1 , May 1968 ,Page(s): 104 –109. [8] Kai Chang,"MICROWAVE RING CIRCUITS and ANTENNAS",1996 by John Wiley & Sons, Inc.

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