Numerical Prepackaging with PMC Lid - Efficient and Simple Design Procedure for Microstrip Circuits Including the Packaging
Keywords:
Cavity resonance, FDTD, FEM, PMC, PEC, shielded microstrip lineAbstract
The paper presents an efficient method for the design of printed microstrip circuit with packaging in mind, referred to as numerical prepackaging with a perfectly magnetic conductive (PMC) lid. The method comprises making the design including the packaging from the start by using a PMC lid, rather than first designing the open-aired circuit; and thereafter, considering the packaging effect and the often required retuning of the circuits themselves. The advantage is that no parallel plate modes can propagate between the perfect electric conductor (PEC) ground plane and the PMC lid plate if the spacing is smaller than an effective quarter of wavelength. This provides a limited computational volume so that the computation time is significantly reduced in the case of the finite element method (FEM) or the finite difference time domain method (FDTD). By using numerical packaging with PMC lid, the ideal PMC lid has to be realized afterwards e.g. by using a lid of nails, which is a minor task as compared to existing approaches.
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References
Allen Taflove and Susan C. Hagness, ‘‘Computational Electrodynamics: The FiniteDifference Time-Domain Method,” 3rd ed. Artech House Publishers, 2005.
Jianming Jin, “The Finite Element Method in Electromagnetics,” 2nd ed. John Wiley and Sons, Inc., 2002.
D. R. Wilton and C. M. Butler, “Effective Methods for Solving Integral and Integro-Differential Equations,” Electromagnetics, vol. 1, no. 3, pp. 289-308, 1981.
T. G. Moore, J. G. Blaschak, A. Taflove, and G. A. Kriegsmann, “Theory and Application of Radiation Boundary Operators”, Antennas and Propagation, IEEE Transactions on 36, pp. 1797-1812, 2008.
J. Berenger, “A Perfectly Matched Layer for the Absorption of Electromagnetic Waves”, Journal of Computational Physics, vol. 114, pp. 185-200, 1994.
J. B. Cole and D. Zhu, “Improved Version of the Second-Order MurAbsorbing Boundary Condition Based on a Nonstandard Finite Difference Model,” Applied Computational Electromagnetic Society (ACES) Journal, vol. 24, no. 4, pp. 375-381, August 2009.
M. Wong and A. R. Sebak, “The Floating PML Applied to Practical FDTD Applications,” Applied Computational Electromagnetic Society (ACES) Journal, vol. 23, no. 2, pp. 110-119, June 2008.
M. J. Inman, A. Z. Elsherbeni, J. G. Maloney, and B. N. Baker, “Practical Implementation of a CPML Absorbing Boundary for GPU Accelerated FDTD Technique,” Applied Computational Electromagnetic Society (ACES) Journal, vol. 23, no. 1, pp. 16-22, March 2008.
P.-S. Kildal, E. Alfonso, A. Valero-Nogueira, and E. Rajo-Iglesias, “Local Metamaterial-Based Waveguides in Gaps Between Parallel Metal Plates”, IEEE Antennas and Wireless Propagation letters (AWPL), vol. 8, pp. 84-87, 2009.
E. Rajo-Iglesias and P.-S. Kildal, “Numerical Studies of Bandwidth of Parallel Plate Cut-Off Realized By Bed of Nails, Corrugations and Mushroom-Type EBG for Use in Gap Waveguides”, IET Microw Antennas Propag.,, vol. 5, no. 3, pp. 282-289, March 2011.
E. Rajo-Iglesias, A. Uz Zaman, and P.-S. Kildal, “Parallel Plate Cavity Mode Suppression in Microstrip Circuit Packages Using a Lid of Nails”, IEEE Microwave and Wireless Components Letters, vol. 20, no. 1, pp. 31-33, Dec. 2009.
P.-S. Kildal, “Artificially Soft and Hard Surfaces in Electromagnetics,” IEEE Trans. Antennas Propagat., vol. 38, pp. 1537-1544, Oct. 1990.
P.-S. Kildal, A. Kishk, and A. Tengs, “Reduction of Forward Scattering from Cylindrical Objects Using Hard Surfaces,” IEEE Trans. Antennas Propagat., vol. 44, pp. 1509-1520, Nov. 1996.
P.-S. Kildal and A. Kishk, “EM Modeling of Surfaces with STOP or GO Characteristics - Artificial Magnetic Conductors and Soft and Hard Surfaces,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 18, pp. 32-40, Mar. 2003.
Y. Rahmat-Samii, “The Marvels of Electromagnetic Band Gap (EBG) Structures,” Applied Computational Electromagnetic Society (ACES) Journal, vol. 18, no. 3, pp. 1-10, November 2003.
P.-S. Kildal, A. A. Kishk, and S. Maci, “Special Issue on Artificial Magnetic Conductors, Soft/Hard Surfaces, and Other Complex Surfaces” (Guest Editorial), IEEE Transactions on Antennas and Propagation, vol. 53, pp. 2-7, Jan. 2005.
P.-S. Kildal, A. Kishk, M. Bosiljevac, and Z. Sipus, "The PMC-Amended DB Boundary - A Canonical EBG Surface", Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 2, Feb. 2011.
P.-S. Kildal, A. Uz Zaman, E. Rajo-Iglesias, E. Alfonso, and A. Valero-Nogueira, "Design and Experimental Verification of Ridge Gap Waveguides in Bed of Nails for Parallel Plate Mode Suppression", IET Microw Antennas Propag., vol. 5, no. 3, pp. 262-270, March 2011.
M. Bosiljevac, Z. Sipus, and P. -S. Kildal, “Construction of Green's Functions of Parallel Plates with Periodic Texture with Application to Gap Waveguides - A Plane Wave Spectral Domain Approach”, IET Microw Antennas Propag., vol. 4, iss. 11, pp. 1799-1810, Nov. 2010.
A. Polemi, S. Maci, and P. -S. Kildal, “Dispersion Characteristics of Metamaterial-Based ParallelPlate Ridge Gap Waveguide Realized by Bed of Nails”, IEEE Transactions on Antennas and Propagation, vol. 59, no. 3, pp. 904-913, March 2011.
A. Polemi and S. Maci, “Closed Form Expressions for the Modal Dispersion Equations and for the Characteristic Impedance of a Metamaterial Based Gap Waveguide”, IET Microw Antennas Propag.,, vol. 4, iss. 8, pp. 1073-1080, August 2010.
P. -S. Kildal, “Three Metamaterial-based Gap Waveguides Between Parallel Metal Plates for mm/submm Waves”, 3rd European Conference on Antennas and Propagation (EuCAP2009), Berlin, 23-27 March 2009.
E. O. Hammerstad and F. Bekkadal (1975) Microstrip Handbook, Trondheim: Norweign Institute of Technology, Report ELAB STF44 A74169.
F. Gardiol , Microstrip Circuits. Jon Wiley & Sons, Inc 1994.
www.cst.com.
R. F. Harrington, Time-Harmonic Electromagnetic Fields, McGraw-Hill, 1961.
M. G. Silveirinha, C. A. Fernandes, and J. R. Costa, “Electromagnetic Characterization of Textured Surfaces Formed by Metallic Pins”, IEEE Trans. Antennas Propagat., vol. 56, no. 2, pp. 405-415, Feb. 2008
A. A. Brazález, A. U. Zaman, and P. –S. Kildal, “Improved Microstrip Filters using PMC Packaging by Lid of Nails,” Accepted for publication in IEEE Trans. On Components, Packaging and Manufacturing Technology.
