Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-24T23:22:57.477Z Has data issue: false hasContentIssue false

Re-adjustments for MOM calculations of microstrip and stripline power dissipation

Published online by Cambridge University Press:  30 July 2020

Frederick Huang*
Affiliation:
Department of Electronic, Electrical and Systems Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
*
Author for correspondence: F. Huang, E-mail: f.huang@bham.ac.uk

Abstract

Microstrip and stripline losses in Method of Moments (MOM) calculations have an error arising from the large current density at the strip edges, characterized by an integration limit (W/2-d) in the equation for current density in thin strips (width W), where d is a fitting parameter. It depends primarily on the width of the MOM subsection on the edge of the strip. By comparing with the integration limit (W/2-Δ) for an actual strip with finite thickness, a correction factor is estimated. The equations incorporating d are confirmed by comparing with MOM calculations of isolated stripline, uniformly spaced parallel strips, striplines and microstrips close to ground planes, and with a strip in a uniform, externally applied magnetic field. The results are also consistent with measurements with copper. This makes the accuracy of the loss estimates commensurate with the excellence of the other aspects of MOM simulations.

Type
EM Field Theory
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Collin, RE (1992) Foundations for Microwave Engineering. New York: McGraw-Hill Inc.Google Scholar
Holloway, CL and Kuester, EF (1994) Edge shape effects and quasi-closed form expressions for the conductor loss of microstrip lines. Radio Science 29, 539559.CrossRefGoogle Scholar
Booth, JC and Holloway, CL (1999) Conductor loss in superconducting planar structures: calculations and measurements. IEEE Transactions on Microwave Theory and Techniques 47, 769774.CrossRefGoogle Scholar
Lewin, L (1984) A method of avoiding the edge current divergence in perturbation loss calculations. IEEE Transactions on Microwave Theory and Techniques. MTT 32, 717719.CrossRefGoogle Scholar
Huang, F, Bolli, P, Cresci, L, Mariotti, S, Panella, D, Lopez-Perez, JA and Garcia, P (2018) A superconducting spiral bandpass filter designed by a pseudo-Fourier technique. IET Microwaves, Antennas and Propagation 12, 12931301.CrossRefGoogle Scholar
Rautio, JC and Demir, V (2003) Microstrip conductor loss models for electromagnetic analysis. IEEE Transactions on\. Microwave Theory and Techniques 51, 915921.CrossRefGoogle Scholar
Rautio, JC (2000) An investigation of microstrip conductor loss. IEEE Microwave Magazine 1, 6067.CrossRefGoogle Scholar
Horton, R, Easter, B and Gopinath, A (1971) Variation of microstrip losses with thickness of strip. Electronics Letters 7, 490491.CrossRefGoogle Scholar
Stracca, GB (1997) A simple evaluation of losses in thin microstrips. IEEE Transactions on Microwave Theory and Techniques 45, 281283.CrossRefGoogle Scholar
Plaza, G and Marqués R, R (2006) Medina: quasi-TM MoL/MoM approach for computing the transmission-line parameters of lossy lines. IEEE Transactions on Microwave Theory and Techniques 54, 198209.CrossRefGoogle Scholar
Hamham, EM, Mesa, F, Medina, F and Khalladi, M (2012) Surface-impedance quasi-transverse electromagnetic approach for the efficient calculation of conductor losses in multilayer single and coupled microstrip lines. IET Microwaves Antennas Propagation 6, 519526.CrossRefGoogle Scholar
Harrington, RF (1992) Field Computation by Moment Methods. Piscataway, NJ, USA: IEEE Press.Google Scholar
Huang, F (2014) Suppression of harmonics in microstrip filters with stagger tuning and voltage redistributions. IEEE Transactions on Microwave Theory and Techniques 62, 464471.CrossRefGoogle Scholar
Hong, S and Chang, K (2006) A parallel-coupled microstrip banpass filter with suppression of both the 2nd and the 3rd harmonic responses. 2006 IEEE MTT-S International Microwave Symposium Digest, San Francisco, pp. 365–368.CrossRefGoogle Scholar
Huang, F (2010) Suppression of superconducting filter spurious response using lossy parasitic resonators. IET Microwaves, Antennas and Propagation 4, 20422049.CrossRefGoogle Scholar
Huang, F (2011) Suppression of microstrip filter spurious responses using frequency-selective resistive elements. IET Microwave Antennas and Propagation 5, 18361843.CrossRefGoogle Scholar
Holloway, CL and Kuester, EF (1988) Closed-form expressions for the current density on the ground plane of a microstrip line, with application to groundplane loss. IEEE Transactions on Microwave Theory and Techniques 54, 40184019.CrossRefGoogle Scholar
Holloway, CL and Kuester, EF (1988) Corrections to “closed-form expressions for the current density on the ground plane of a microstrip line, with application to groundplane loss. IEEE Transactions on Microwave Theory and Techniques 43, 12041207.CrossRefGoogle Scholar
Edwards, TC (1981) Foundations for Microstrip Design. New York, Wiley.Google Scholar
General information of die1lectric constant for RT/duroid® 6010.2LM & RO3010TM High frequency circuit materials. Available at http://www.rogerscorp.com/documents/2379/acs/General-Information-of-Dielectric-Constant-for-RT-duroid-6010.2LM-RO3010-High-Frequency-Circuit-Materials.pdf (Accessed September 2014).Google Scholar
Farber, E, Deutcher, G, Contour, J and Jerby, E (1998) Penetration depth measurement in high quality YBa2Cu3O7−x thin films. European Physical Journal B 5, 159162.CrossRefGoogle Scholar
Velichko, AV, Porch, A, Lancaster, MJ and Humphreys, RG (2001) Anomalous features in surface impedance of Y-Ba-Cu-O thin films: dependence on frequency, RF and DC fields. IEEE Transactions on Applied Superconductivity 11, 34973500.CrossRefGoogle Scholar
Avenhaus, B, Porch, A and Lancaster, MJ (1995) Microwave properties of YBCO thin films. IEEE Transactions on. Applied Superconductivity 5, 17371740.CrossRefGoogle Scholar
Semerad, R. Private communication.Google Scholar
Irgmaier, K, Semerad, R, Prusseit, W, Ludsteck, A, Sigl, G, Kinder, H, Dzick, J, Sievers, S, Freyhardt, H and Peters, K (2002) Deposition and microwave performance of YBCO films on techincal ceramics. Physica C: Superconductivity 373–376, 554557.CrossRefGoogle Scholar
Cohn, SB (1955) Shielded coupled-strip transmission line. IRE Transactions on Microwave Theory and Techniques 3, 2938.CrossRefGoogle Scholar