Microstrip Patch Antenna — Calculator ((link))

FR-4 (( \varepsilon_r = 4.4 ), ( h = 1.6 , mm )).

# Fringing extension num = (ereff + 0.3) * (W_m / h + 0.264) den = (ereff - 0.258) * (W_m / h + 0.8) delta_L_m = 0.412 * h * (num / den) delta_L_mm = delta_L_m * 1000 microstrip patch antenna calculator

import math def microstrip_patch_calc(freq_GHz, er, h_mm): """ Calculate rectangular microstrip patch antenna dimensions. freq_GHz : resonant frequency in GHz er : relative permittivity of substrate h_mm : substrate height in mm Returns dict with width, length, eff_permittivity, delta_L, inset_50 """ c = 299792458 # speed of light m/s f = freq_GHz * 1e9 h = h_mm / 1000 # convert to meters W_m = (c / (2 * f)) * math.sqrt(2 / (er + 1)) W_mm = W_m * 1000 FR-4 (( \varepsilon_r = 4

if name == " main ": result = microstrip_patch_calc(2.45, 4.4, 1.6) for k, v in result.items(): print(f"k: v") FR-4 (( \varepsilon_r = 4.4 )

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

# 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

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