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Mutual Coupling Between Broadside Printed Dipoles Embedded in Stratified Anisotropic Dielectrics

This research study explores the mutual coupling between broadside printed dipoles embedded in stratified anisotropic dielectrics. The study includes problem definition, spectral domain immittance functions, results, discussion, and conclusion.

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Mutual Coupling Between Broadside Printed Dipoles Embedded in Stratified Anisotropic Dielectrics

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  1. Mutual Coupling Between Broadside Printed Dipoles Embedded in Stratified Anisotropic Dielectrics Benjamin D. Braaten* Robert M. Nelson David A. Rogers North Dakota State University

  2. Topics • Problem Definition • Spectral domain immittance functions • Results • Discussion • Conclusion North Dakota State University

  3. Problem Definition Consider: North Dakota State University

  4. Interests The previous problem is of interest in many fields. • Microstrip antenna arrays [4]. • Frequency Selective Structures (FSS) [5] • Radio Frequency Identification (RFID) [6] • IC based antennas • Radar … [4] David M. Pozar and Daniel H. Schaubert, “Microstrip Antennas: The analysis and Design of Microstrip Antennas and Arrays”, IEEE Press, Piscataway, NJ, 1995. [5]A.L.P.S. Campos an A.G. d'Assuncao, “Scattering parameters of a frequency selective surface between anisotropic dielectric layers for incident co-polarized plane waves,” IEEE Antennas and Propagation Society International Symposium, 2001, Vol. 4, July 8-13, 2001, p. 382-385. [6]K. Finkenzeller, RFID Handbook:Fundamentals and Applications in Contactless Smart Cards and Identification, John Wiley and Sons, West Sussex, England, 2003. North Dakota State University

  5. The new spectral domain immittance functions Start with the following Hertz vector potentials: Electric Hertz potential and Magnetic Hertz potential North Dakota State University

  6. The new spectral domain immittance functions • Next, only the y-direction of the Hertz vector potential is needed. and • This is because the optical axis is in the y-direction and • this component satisfies the higher order TE and TM tangential boundary conditions. North Dakota State University

  7. The new spectral domain immittance functions Now define the following expression for the magnetic and electric field: where the Hertzian vector potentials are solutions to the following wave equations: North Dakota State University

  8. The new spectral domain immittance functions and North Dakota State University

  9. The new spectral domain immittance functions To simplify evaluating the previous expressions, we define the following Fourier transform: This results in the following relations: North Dakota State University

  10. The new spectral domain immittance functions This results in the following simplified expressions: where and North Dakota State University

  11. The new spectral domain immittance functions Similarly for and North Dakota State University

  12. The new spectral domain immittance functions Double layer problem North Dakota State University

  13. The new spectral domain immittance functions Double (and Triple) layer problems After extensive factoring and manipulation, the following spectral domain immittance functions are derived: and North Dakota State University

  14. The new spectral domain immittance functions An example of a spectral domain immittance function: North Dakota State University

  15. Solving the new expressions • The spectral domain moment method was used to solve for the unknown current. • PWS functions were used as expansion and basis functions. • A delta source was used to drive the problem. North Dakota State University

  16. Dipole Results Consider: North Dakota State University

  17. Dipole Results A single anisotropic substrate (d1 = 1.58 mm): North Dakota State University

  18. Dipole Results A single anisotropic cover (d1 = 1.58 mm d2 = 1.58 mm): North Dakota State University

  19. Dipole Results Separated by a single anisotropic layer (d1 = 1.58 mm d2 = 1.58 mm): North Dakota State University

  20. Conclusion • New multi-conductor spectral domain immittance functions have been summarized. • Broadside printed dipoles on a single anisotropic substrate have been investigated. • It is shown that the permittivity in the y-direction (direction of the optical axis) has the largest impact on the mutual coupling. • Broadside printed dipole with a single anisotropic superstrate have been investigated. • It is shown that the mutual coupling is unaffected by the permittivity in the y-direction (direction of the optical axis). North Dakota State University

  21. Conclusion • Broadside printed dipoles separated by a single anisotropic superstrate have been investigated. • It is shown that both components of the permittivity affect the mutual coupling. North Dakota State University

  22. Questions Thank you for listening North Dakota State University

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