Microstrip Patch Antenna Calculator

# 3. Calculate Extension Length (delta_L) delta_L = 0.412 * substrate_height * (((epsilon_eff + 0.3) * (ratio + 0.264)) / ((epsilon_eff - 0.258) * (ratio + 0.8)))

Calculators use standard transmission line model equations to arrive at the final dimensions. The typical workflow includes: Patch Antennas - MATLAB & Simulink - MathWorks microstrip patch antenna calculator

# Print Results print("--- Microstrip Patch Antenna Dimensions ---") print(f"Frequency: freq/1e9 GHz") print(f"Substrate: Eps=eps_r, Height=height*1000mm") print("-" * 30) print(f"Patch Width (W): results['Width (mm)']:.2f mm") print(f"Patch Length (L): results['Length (mm)']:.2f mm") print(f"Feed Inset (y0): results['Inset Depth y0 (mm)']:.2f mm") print("-" * 30) The inset cuts into the patch by distance $y_0$)

A simplified approximation for the inset depth to achieve 50$\Omega$ is: $$y_0 \approx \fracL\pi \cos^-1\left( \sqrt\frac50R_in(y=0) \right)$$ (Note: $R_in(y=0)$ is the input impedance at the edge of the patch, typically 100-300 Ohms depending on geometry. The inset cuts into the patch by distance $y_0$). typically 100-300 Ohms depending on geometry.