Inset Fed Patch Antenna Calculator -

Use these equations to build your own calculator in Excel, Python, or MATLAB.

[ y_0 = \frac28.4\pi \cos^-1\sqrt\frac50297 \approx 9.04 \times \cos^-1(0.41) \approx 9.04 \times 1.148 \approx 10.4 \text mm ] inset fed patch antenna calculator

[ \Delta L = 0.412 \times 1.6 \frac(4.18+0.3)(37.3/1.6+0.264)(4.18-0.258)(37.3/1.6+0.8) \approx 0.74 \text mm ] Use these equations to build your own calculator

To match the feed line impedance ( Z_0 ) (e.g., 50 Ω): [ Z_0 = R_\textin(0) \cos^2\left(\frac\piLy_0\right) ] [ y_0 = \fracL\pi \cos^-1\sqrt\fracZ_0R_\textin(0) ] inset fed patch antenna calculator

If ( R_\textin(0) ) is not known from the exact formula, use the approximation: [ R_\textin(0) \approx 90\frac\varepsilon_r^2\varepsilon_r - 1\left(\fracLW\right)^2 \quad (\textfor thin substrates) ] Given: ( f_r = 2.45 \text GHz ) ( \varepsilon_r = 4.4 ) (FR4) ( h = 1.6 \text mm ) ( Z_0 = 50\ \Omega )