F $=580$MHZ$!!!!$ Problem $5$

We would like to design a single$-$section $10\mathrm{.}8814$ dB coupler for a system impedance of $\backslash (50\backslash$Omega $\backslash ),$ and a center frequency of $\backslash (\backslash$mathbf$\{$F M H z$\}\backslash ).$ The coupler will be designed as a stripline circuit. The substrate of the circuit is $\backslash (\backslash$mathrm$\{$b$\}=2\backslash$mathrm$\{$~mm$\}\backslash )$ thick and it has a dielectric constant of $1\mathrm{.}8.$

a$)$ Find the even$-$ and odd$-$mode characteristic impedances.

b$)$ Find width and spacing of the coupled lines in mm$.$

c$)$ Find the length of the coupler in mm$.$