Microstrip Patch Antenna Calculator -

# Inset feed for 50 ohms target_Z = 50 if target_Z < R_edge: y0_m = (L_m / math.pi) * math.acos(math.sqrt(target_Z / R_edge)) y0_mm = y0_m * 1000 else: y0_mm = None # cannot match with inset; use other method

| 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 | microstrip patch antenna calculator

FR-4 (( \varepsilon_r = 4.4 ), ( h = 1.6 , mm )). # Inset feed for 50 ohms target_Z =

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" ( h = 1.6