Circular Microstrip Patch Antenna Calculator

Input

Frequency	\(\nu \)		GHzMHzKHzHz
Substrate Relative Permittivity	\(\epsilon_{r}\)
Substrate Height	\(h\)		millimetercentimetermeterkilometermilinch

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Output

Patch Physical Radius	\(a \)	____	millimetercentimetermeterkilometermilinch
Effective Radius	\(a_e \)	____	millimetercentimetermeterkilometermilinch

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Formula

\(a=\frac{F}{\left \{ 1+\frac{2h}{\pi\epsilon_rF}\left [ ln(\frac{\pi F}{2h}+1.7726 ) \right ] \right \}^\frac{1}{2}}\)

\(F= \frac{8.791e^9}{f_r\sqrt{\epsilon_r}}\)

\(a_e=a{\left \{ 1+\frac{2h}{\pi a \epsilon_r}\left [ ln(\frac{\pi a}{2h}+1.7726) \right ] \right \}^\frac{1}{2}}\)

Where:

\(f_r \) = Frequency

\(\epsilon_{r}\) = Substrate Relative Permittivity

\(h\) = Substrate Height

\(a \) = Physical Radius of Patch

\(a_e \) = Effective Radius

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