A Method for Calculating the Characteristic Impedance of Substrate Integrated Artificial Dielectric Transmission Lines

기판적층형 가유전체 전송선로의 특성 임피던스 계산 방법

  • Published : 2009.08.01

Abstract

This paper describes a new method for extracting characteristic impedance of transmission line using Substrate Integrated Artificial Dielectric (SIAD). The new procedure to calculate the characteristic impedance of SIAD transmission line is described with the proper equations and basic transmission line theory. The characteristic impedance is determined as an almost fixed value in the proposed method, while it fluctuates according to frequency in the previous method. As the result, the effective dielectric constant of SIAD transmission line is calculated as a fixed value rather than fluctuating one. In order to show the validity of the proposed method, SIAD microstrip lines are simulated and measured, and characteristic impedances and effective dielectric constant are calculated and compared to the previous method.

Keywords

References

  1. K. C. Gupta, et aI., Microstrip Lines and Slotlines, 2nd edition, Artech House, Boston, 1996
  2. D. M. Pozar, Microwave Engineering, 3rd edition, John Wiely and Sons, Inc., 2003
  3. M. Coulombe, H. V. Nguyen, and C. Caloz, 'Substrate Integrated Artificial Dielectric (SIAD) Structure for Miniaturized Microstrip Circuits', IEEE. Ant. and Wir. Prop. Lett. vol. 6, pp. 575-579, Dec. 2007 https://doi.org/10.1109/LAWP.2007.910959
  4. I. Awai, H. Kubo, T. Iribe, D. Wakamiya, and A. Sanada, 'An artificial dielectric material of huge permittivity with novel anisotropy and its application to a microwave BPF', in Proc. IEEE Int. Microwave Symposium, Philadelphia, PA, pp. 1085-1088, Jun. 2003
  5. W. E. Kock, 'Metallic delay lenses', Bell Syst. Tech J., vol. 27, pp. 58-82, 1948 https://doi.org/10.1002/j.1538-7305.1948.tb01331.x
  6. S. B. Cohn, 'Analysis of the metal strip delay structure for microwaves lenses', J. Appl. Phys., vol. 20, pp. 257 - 262, Mar. 1949 https://doi.org/10.1063/1.1698352
  7. S. B. Cohn, 'The electric and magnetic constants of metallic delay media containing obstacles of arbitrary shape and thickness', J. Appl. Phys., vol. 22, pp. 628 - 634, May 1951 https://doi.org/10.1063/1.1700020
  8. S. B. Cohn, 'Microwave measurements on metallic delay media', Proc. IRE, vol. 41, pp. 1177 -1183, September 1953 https://doi.org/10.1109/JRPROC.1953.274454
  9. J.S. Lim, SW. Lee, C.S. Kim, J.S. Park, D. Ahn, and S.W. Nam, 'A 4 : 1 Unequal Wilkinson Power Divider', IEEE Microwave and Wireless Components Letters, vol. 11, no. 3, pp. 124-126, Mar. 2001 https://doi.org/10.1109/7260.915624
  10. J. S. Lim, C. S. Kim, J S. Park, D. Ahn, and S. Nam, 'Design of 10dB ${90^{\circ}}$ Branch Line Coupler using Microstrip Line with Defected Ground Structure', IEE Electronics Letters, vol. 36, no. 21, pp. 1784-1785, Oct. 2000 https://doi.org/10.1049/el:20001238