Microstrip Patch Antenna Calculator //top\\

To achieve a 50$\Omega$ match, we use an "inset feed" (a notch cut out of the patch). The depth $y_0$ is calculated using: $$R_in(y=0) = \frac12G$$ (Where $G$ is the conductance of the radiating slot).

# 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) microstrip patch antenna calculator

| Step | Parameter | Formula/Value | Result | |------|-----------|---------------|--------| | 1 | Width W | ( \frac3e82 \times 2.45e9 \times \sqrt(4.4+1)/2 ) | ≈ 37.26 mm | | 2 | ( \varepsilon_reff ) | ( \frac4.4+12 + \frac4.4-12 (1 + 12 \times 1.6/37.26)^-0.5 ) | ≈ 3.74 | | 3 | ΔL | ( 0.412 \times 1.6 \times \frac(3.74+0.3)(37.26/1.6+0.264)(3.74-0.258)(37.26/1.6+0.8) ) | ≈ 0.729 mm | | 4 | Length L | ( \frac3e82 \times 2.45e9 \times \sqrt3.74 - 2 \times 0.729 ) | ≈ 29.06 mm | | 5 | Edge resistance (R_in(0)) | Approx. formula | ≈ 220 Ω | | 6 | Inset (y_0) for 50Ω | ( \frac29.06\pi \cos^-1\sqrt50/220 ) | ≈ 8.4 mm from center | To achieve a 50$\Omega$ match, we use an

# 2. Calculate Effective Dielectric Constant (epsilon_eff) # Use the ratio W/h for the formula ratio = W / substrate_height term = 1 + (12 / ratio) epsilon_eff = ((dielectric_constant + 1) / 2) + ((dielectric_constant - 1) / 2) * (term ** -0.5) formula | ≈ 220 Ω | | 6

The calculator provides only. Real-world tuning is required due to:

[ W = \fracc2 f_r \sqrt\frac\varepsilon_r + 12 ] where ( c = 3 \times 10^8 , m/s ) (speed of light).