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https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_III_-_Networks_(Steer)/00%3A_Front_Matter/01%3A_TitlePage
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5.3: Coupled Transmission Line Theory
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_II_-_Transmission_Lines_(Steer)/05%3A_Coupled_Lines_and_Applications/5.03%3A_Coupled_Transmission_Line_Theory
Thus the coupled pair of conductors supports two unique families of modes (each family comprising forward- and backward-traveling waves) with each family relating to a particular field configuration o...Thus the coupled pair of conductors supports two unique families of modes (each family comprising forward- and backward-traveling waves) with each family relating to a particular field configuration on the coupled line system. $^{2}$ That is, $S_{1}$ and $S_{2}$ are each single numbers and, just considering the forward-traveling waves, $\omega S_{1}$ is the propagation constant of one mode and $\omega S_{2}$ is the propagation constant of the second mode.
10.2: Matching Networks
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)/10%3A_Impedance_Matching/10.02%3A_Matching_Networks
\[\begin{align}\Gamma_{\text{in}}^{\ast}&=\frac{Z_{\text{in}}-Z_{\text{REF}}}{Z_{\text{in}}+Z_{\text{REF}}}=\left(\frac{Z_{S}^{\ast}-Z_{\text{REF}}}{Z_{S}^{\ast}+Z_{\text{REF}}}\right)^{\ast} =\frac{(... $\begin{align}\Gamma_{\text{in}}^{\ast}&=\frac{Z_{\text{in}}-Z_{\text{REF}}}{Z_{\text{in}}+Z_{\text{REF}}}=\left(\frac{Z_{S}^{\ast}-Z_{\text{REF}}}{Z_{S}^{\ast}+Z_{\text{REF}}}\right)^{\ast} =\frac{(Z_{S}^{\ast}-Z_{0})^{\ast}}{(Z_{S}^{\ast}+Z_{0})^{\ast}} \nonumber \\ \label{eq:2} &=\frac{(Z_{S}^{\ast})^{\ast}-Z_{\text{REF}}^{\ast}}{(Z_{S}^{\ast})^{\ast}+Z_{\text{REF}}^{\ast}}=\frac{Z_{S}-Z_{\text{REF}}^{\ast}}{Z_{S}+Z_{\text{REF}}^{\ast}}=\Gamma_{S} \end{align}$
7.6: Summary
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)/07%3A_Microwave_Network_Analysis/7.06%3A_Summary
Which is used depends on which makes the task of visualizing circuit operation more clear, which makes analyzing circuits more convenient, and which enables different circuits to be made electrically ...Which is used depends on which makes the task of visualizing circuit operation more clear, which makes analyzing circuits more convenient, and which enables different circuits to be made electrically equivalent. RF and microwave design is characterized by conceptual insight and it is essential to use parameters and graphical representations that are close to the physical world.
4.2: Substrates
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)/04%3A_Planar_Transmission_Lines/4.02%3A_Substrates
The characteristics of the line are then more or less the same as for the same structure with a uniform dielectric of permittivity, $\varepsilon_{\text{eff}} = \varepsilon_{e}\varepsilon_{0}$ . So th...The characteristics of the line are then more or less the same as for the same structure with a uniform dielectric of permittivity, $\varepsilon_{\text{eff}} = \varepsilon_{e}\varepsilon_{0}$ . So the energy lost in the dielectric is proportional to $\omega\varepsilon ''+\sigma$ and the energy stored in the electric field is proportional to $\omega\varepsilon '$ .
5.7: 4G, Fourth Generation Radio
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_I_-_Radio_Systems_(Steer)/05%3A_RF_Systems/5.07%3A_4G_Fourth_Generation_Radio
If the time duration of a symbol is short, which is the case if wideband modulation is used, then the components of a signal, corresponding to one symbol, following longer paths could arrive at the sa...If the time duration of a symbol is short, which is the case if wideband modulation is used, then the components of a signal, corresponding to one symbol, following longer paths could arrive at the same time as the components of the next symbol following shorter paths.
4.10: Lines on Semiconductor Substrates
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_II_-_Transmission_Lines_(Steer)/04%3A_Extraordinary_Transmission_Line_Effects/4.10%3A_Lines_on_Semiconductor_Substrates
\[\begin{align}\label{eq:1}C_{1}&=\varepsilon_{1}\frac{A}{d_{1}},\: R_{1}=\frac{1}{\sigma_{1}}\frac{d_{1}}{A},\:C_{2}=\varepsilon_{2}\frac{A}{d_{2}},\:R_{2}=\frac{1}{\sigma_{2}}\frac{d_{2}}{A} \\ \lab... $\begin{align}\label{eq:1}C_{1}&=\varepsilon_{1}\frac{A}{d_{1}},\: R_{1}=\frac{1}{\sigma_{1}}\frac{d_{1}}{A},\:C_{2}=\varepsilon_{2}\frac{A}{d_{2}},\:R_{2}=\frac{1}{\sigma_{2}}\frac{d_{2}}{A} \\ \label{eq:2}\tau_{1}&=R_{1}C_{1}=\frac{\varepsilon_{1}}{\sigma_{1}},\:\tau_{2}=R_{2}C_{2}=\frac{\varepsilon_{2}}{\sigma_{2}}\end{align}$
Book: Fundamentals of Microwave and RF Design (Steer)
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)
The book series Microwave and RF Design is a comprehensive treatment of radio frequency (RF) and microwave design with a modern “systems-first” approach. Design is oriented towards cellular communicat...The book series Microwave and RF Design is a comprehensive treatment of radio frequency (RF) and microwave design with a modern “systems-first” approach. Design is oriented towards cellular communications and microstrip design so that lessons learned can be applied to real-world design tasks. The books in the Microwave and RF Design series are: Radio Systems (Volume 1), Transmission Lines (Volume 2), Networks (Volume 3), Modules (Volume 4), and Amplifiers and Oscillators (Volume 5).
1.2: Radio Architecture
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)/01%3A_Introduction_to_Microwave_Engineering/1.02%3A_Radio_Architecture
The discrete channels are capable of being reused within the service area.” The key attributes here are (a) the concept of cells arranged in clusters and the total number of channels available is divi...The discrete channels are capable of being reused within the service area.” The key attributes here are (a) the concept of cells arranged in clusters and the total number of channels available is divided among the cells in
3.4: Special Cases of Lossless Terminated Lines
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Book%3A_Fundamentals_of_Microwave_and_RF_Design_(Steer)/03%3A_Transmission_Lines/3.04%3A_Special_Cases_of_Lossless_Terminated_Lines
$\label{eq:29} Z_{\text{in}}=Z_{0}\frac{Z_{01}+\jmath Z_{0}\tan (\beta\ell)}{Z_{0}+\jmath Z_{01}\tan (\beta\ell)}=Z_{0}\frac{Z_{01}+\jmath Z_{0}∞}{Z_{0}+\jmath Z_{01}∞}=\frac{Z_{0}^{2}}{Z_{01}}$ Th... $\label{eq:29} Z_{\text{in}}=Z_{0}\frac{Z_{01}+\jmath Z_{0}\tan (\beta\ell)}{Z_{0}+\jmath Z_{01}\tan (\beta\ell)}=Z_{0}\frac{Z_{01}+\jmath Z_{0}∞}{Z_{0}+\jmath Z_{01}∞}=\frac{Z_{0}^{2}}{Z_{01}}$ The layout of a microstrip quarter-wave transformer is shown in Figure $\PageIndex{13}$ , where $\ell = \lambda_{g}/4$ and the characteristic impedance of the transformer, $Z_{0}$ , is the geometric mean of the impedances on either side, that is, $Z_{0} =\sqrt{Z_{01}Z_{02}}$ .
Index
https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electronics/Microwave_and_RF_Design_V%3A_Amplifiers_and_Oscillators_(Steer)/zz%3A_Back_Matter/01%3A_Index

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