Microstrip Patch Antenna Calculator |verified| Review

Designing a patch antenna manually requires solving several transmission-line equations. A automates these calculations, taking inputs like operating frequency, substrate permittivity, and height, and returning key dimensions: patch length (L), patch width (W), inset feed position, and input impedance. 2. Fundamental Design Equations The most common patch shape is rectangular. For a given resonant frequency ( f_r ), substrate relative permittivity ( \varepsilon_r ), and substrate height ( h ), the steps are: 2.1 Patch Width (W) [ W = \fracc2 f_r \sqrt\frac\varepsilon_r + 12 ] where ( c = 3 \times 10^8 , m/s ) (speed of light). 2.2 Effective Permittivity (( \varepsilon_reff )) Due to fringing fields: [ \varepsilon_reff = \frac\varepsilon_r + 12 + \frac\varepsilon_r - 12 \left[ 1 + 12 \frachW \right]^-1/2 ] 2.3 Fringing Extension ((\Delta L)) [ \frac\Delta Lh = 0.412 \frac(\varepsilon_reff + 0.3)(W/h + 0.264)(\varepsilon_reff - 0.258)(W/h + 0.8) ] 2.4 Actual Patch Length (L) [ L = \fracc2 f_r \sqrt\varepsilon_reff - 2\Delta L ] 2.5 Inset Feed Position (for 50Ω matching) The input resistance at the edge ((R_in)) is approximately: [ R_in(y=y_0) = R_in(0) \cos^2\left(\frac\pi y_0L\right) ] where (R_in(0)) is the edge resistance (typically 150–300 Ω). For 50Ω: [ y_0 = \fracL\pi \cos^-1\sqrt\frac50R_in(0) ] (y_0) is measured from the center toward the edge. 3. Example Calculation (Manual) Design goal: Rectangular patch antenna at ( f_r = 2.45 , GHz ) (Wi-Fi/Bluetooth).

return "Width (mm)": round(W_mm, 2), "Length (mm)": round(L_mm, 2), "Effective permittivity": round(ereff, 3), "Delta L (mm)": round(delta_L_mm, 3), "Edge resistance (ohms)": round(R_edge, 1), "Inset from center for 50Ω (mm)": round(y0_mm, 2) if y0_mm else "N/A" microstrip patch antenna calculator

# Effective permittivity ereff = (er + 1)/2 + ((er - 1)/2) * (1 / math.sqrt(1 + 12 * h / W_m)) Designing a patch antenna manually requires solving several

For a reliable design, combine calculator output with electromagnetic simulation and at least one physical iteration. Happy antenna designing! End of piece. Fundamental Design Equations The most common patch shape

# Approximate edge resistance R_edge = 90 * (er**2 / (er - 1)) * (L_m / W_m)**2 if R_edge > 300: R_edge = 300 # practical limit