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microstrip transmission lines explained.pdf
1.
Lecture #3 Microstrip lines Instructor: Dr.
Ahmad El-Banna Benha University Faculty of Engineering at Shoubra November 2014 Post-Graduate ECE-601 Active Circuits Ā© Ahmad El-Banna
2.
Agenda Striplines Forward & Reverse
Striplines Design Microstrip lines Design of Microstrip lines Multi-layer Microstrip lines 2 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
3.
STRIPLINES 3 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
4.
Stripline Transmission Lines ā¢
Microwave circuits that supports TEM or āquasi-TEMā modes are: ā¢ Microstrip and covered microstrip ā¢ Stripline ā¢ Slotline ā¢ Coplanar waveguide. ā¢ Stripline has one or more interior strip conductors immersed in a dielectric with ground planes above and below. 4 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
5.
Formulasfor PropagationConstant, CharacteristicImpedance,and Attenuation ā¢
Stripline can support the TEM mode exclusively provided that ā¢ At higher frequencies, TE and TM modes may also propagate, which leads to signal distortion and other undesirable effects. This is called an āover-modedā waveguide. ā¢ Weāll assume that the (carrier) frequency is ālowā enough that and only the TEM mode propagates. As with any TEM mode, in a stripline with 5 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna none of these quantities depend on frequency for a TEM mode. propagation constant characteristic impedance of a transmission line phase velocity
6.
FORWARD & REVERSE
STRIPLINES DESIGN 6 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
7.
Forward Stripline Design ā¢
We will need to design stripline with a specific Z0. ā¢ Determining the C value is the problem. There is no simple, exact analytical solution for stripline (or microstrip, for that matter). ā¢ But extremely accurate numerical solutions can be found using a number of techniques including the method of moments and the finite element method, among others. ā¢ By curve fitting to these numerical solutions, it can be shown that for a stripline: 7 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna where We is called an āeffective strip widthā given by *These formulas assume a strip with zero thickness and are quoted as being accurate to about 1% of the exact results.
8.
Reverse Stripline Design ā¢
One can determine the āinverseā of Z0, so that W/ b can be determined once Īµr and the required Z0 are specified: ā¢ 8 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
9.
MICROSTRIP LINES 9 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
10.
Microstrip lines ā¢ One
of the most widely used planar microwave circuit interconnections is microstrip. These are commonly formed by a strip conductor (land) on a dielectric substrate, which is backed by a ground plane. ā¢ We will often assume the land has zero thickness, t. ā¢ In practical circuits there will often be metallic walls and covers to protect the circuit. We will ignore these effects. ā¢ Unlike stripline, a microstrip has more than one dielectric in which the EM fields are located. ā¢ This presents a difficulty. 10 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
11.
Microstrip lines.. ā¢ If
the field propagates as a TEM wave, then ā¢ But which Īµr do we use? ā¢ The answer is neither because there is actually no purely TEM wave on the microstrip, but something that closely approximates it called a āquasi-TEMā mode. ā¢ At low frequency, this mode is almost exactly TEM. ā¢ Conversely, when the frequency becomes too high, there are axial components of E and/or H making the mode no longer quasi-TEM. ā¢ This property leads to dispersive behavior. ā¢ Numerical and other analysis have been performed on microstrip since approximately 1965. ā¢ Some techniques, such as the method of moments, produce very accurate numerical solutions to equations derived directly from Maxwellās equations and incorporate the exact cross-sectional geometry and materials of the microstrip. 11 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
12.
Microstrip linesā¦ ā¢ From
these solutions, simple and quite accurate analytical expressions for Z0, Źp etc. have been developed primarily by curve fitting. ā¢ The result of these analyses is that at relatively ālowā frequency, the wave propagates as a quasi-TEM mode with an effective relative permittivity, Īµr,e : ā¢ The phase velocity and phase constant, respectively, are: ā¢ In general, ā¢ The upper bound occurs if the entire space above the microstrip has the same permittivity as the substrate, while the lower bound occurs if in this situation the material is chosen to be free space. 12 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna as for a typical TEM mode.
13.
Microstrip linesā¦. ā¢ The
characteristic impedance of the quasi-TEM mode on the microstrip can be approximated as 13 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna ā¢ the attenuation due to dielectric loss ā¢ The attenuation due to conductor loss
14.
DESIGN OF MICROSTRIP
LINES 14 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
15.
Design Example 15 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
16.
CAD tool ā¢ Many
tools are available for microwave CAD. ā¢ The Rogers ACM Division introduces a new design program that is free to download called the MWI-2010 Microwave Impedance Calculator, a transmission line modeling tool for electronics engineers. ā¢ Link to download: ā¢ http://www.rogerscorp.com/acm/technology/index.aspx ā¢ Design the previous Example using the MWI-2010 Microwave Impedance Calculator. 16 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
17.
MULTI-LAYER MICROSTRIP LINES
17 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna Ref: K. R. Jha and G. Singh, Terahertz Planar Antennas for Next Generation Communication, DOI: 10.1007/978-3-319-02341-0_2, Springer International Publishing Switzerland 2014
18.
Multi-layer Microstrip lines ā¢
In general, the microstrip line is used to conduct the electromagnetic wave at low frequency. ā¢ Beyond 60 GHz, its application is restricted due to the losses in the line. ā¢ Due to this, there is a general consideration that the use of microstrip transmission line at THz frequency is impractical. ā¢ Moving away from this theory, the microstrip transmission line has successfully been used to transmit the THz wave. ā¢ The transmission line parameters become frequency dependent and need the empirical formula to evaluate these parameters at such high frequency. 18 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
19.
Necessity of Multilayer
Microstrip Transmission Line ā¢ A microstrip transmission line can be designed on the different conļ¬guration of the substrate layers which may be single, double, or the multilayered material. ā¢ With the development in the technology and the need of the system-on-chip (SOC) requirement, the use of the multilayered substrate has increased at high frequency. ā¢ The use of the multilayered substrate material microstrip transmission line has a numerous advantages such as: ā¢ Capability to reduce the losses and to control the coefļ¬cient of expansion. ā¢ It is also an alternative solution to circuit layout and the combination of the substrate and semiconductor layer gives the slow-wave structure. ā¢ The multilayered substrate is also used in the antenna design where it shows good surface wave immunity gain, and bandwidth enhancement apart from the good mechanical integration. 19 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
20.
20 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna The effective dielectric
permittivity of the multilayered substrate material is :
21.
Characteristic Impedance 21 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna The dispersive
behavior of characteristic impedance on the multilayered substrate material is obtained by
22.
Effectof Substrate Layerson
the CharacteristicImpedance 22 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
23.
ā¢ For more
details, refer to: ā¢ Chapters 3, Microwave Engineering, David Pozar_4ed. ā¢ Lecture Notes of , EE 481 - Microwave Engineering Course, Laboratory for applied electromagnetic and communications, South Dakota school for mines and technology, 2013. ā¢ The lecture is available online at: ā¢ http://bu.edu.eg/staff/ahmad.elbanna-courses/11983 ā¢ For inquires, send to: ā¢ ahmad.elbanna@feng.bu.edu.eg 23 ECE-601 , Lec#3 , Nov 2014 Ā© Ahmad El-Banna
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