By this I mean the change in effective dielectric constant calculation formula? There are equations to calculate inductance and capacitance of microstrip discontinuities
Hi..I think that any change in the effective dielectric constant will only model the capacitive effect but not the inductive one..Both the effects should be modelled for bends..The inductance arises due to the sudden interruption in the current flow, while the capacitance is a result of excess charge accumulation at the corners of the bends.. Please refer to chapter 5 (Discontinuities in microstrip) of the book "Foundations for microstrip circuit design" by T.C.Edwards..It illustrates the values for capacitances and inductances which you need to incorporate in your design.
Hi. For smooth radial bend one can use the perturbation method:
Weisshaar, A.; Tripathi, V.K., "Perturbation analysis and modeling of curved microstrip bends," Microwave Theory and Techniques, IEEE Transactions on , vol.38, no.10, pp.1449,1454, Oct 1990
doi: 10.1109/22.58684
For abrupt bends and junctions please refer to:
Silvester, P.; Benedek, P., "Microstrip Discontinuity Capacitances for Right-Angle Bends, T Junctions, and Crossings," Microwave Theory and Techniques, IEEE Transactions on , vol.21, no.5, pp.341,346, May 1973
doi: 10.1109/TMTT.1973.1127992
and
Easter, B., "The Equivalent Circuit of Some Microstrip Discontinuities," Microwave Theory and Techniques, IEEE Transactions on , vol.23, no.8, pp.655,660, Aug 1975
doi: 10.1109/TMTT.1975.1128644
You can see also the paper that can found in Xplore:
A. Abramowicz: Nearly perfect right angle bends, 17th International Conference on Microwaves, Radar and Wireless Communications, MIKON 2008, Wroclaw 2008, pp.1-3,
Hi ,if you need approximate formula,use the "Transmission line handbook",else you must simulate by EM soft wares such as hfss or cst ,...
Please go through the Chapter-3 and -4 of "Microstrip Lines and Slotlines" 2nd edn. of K. C. Gupta, Ramesh Garg, Inder Bahl and Prakash Bhartia. This book covers almost all formulas related to bends in microstrip lines.
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