📡 Rectangular Microstrip Patch Dimensions

Design a rectangular patch antenna using the transmission‑line model. The patch resonates when its length is approximately λ/2 in the dielectric.

Parameters

Frequency (MHz): Substrate Relative Permittivity (ε_r): Substrate Height (mm):

Calculated Dimensions

Width (W): 0.00 mm

Length (L): 0.00 mm

Effective permittivity (ε_eff): 0.00

Fringing field extension (ΔL): 0.00 mm

Equations:
Width: \( W = \frac{c}{2f} \sqrt{\frac{2}{\varepsilon_r+1}} \)
Effective permittivity: \( \varepsilon_{\text{eff}} = \frac{\varepsilon_r+1}{2} + \frac{\varepsilon_r-1}{2} \left(1+12\frac{h}{W}\right)^{-1/2} \)
Fringing extension: \( \Delta L = 0.412h \frac{(\varepsilon_{\text{eff}}+0.3)(W/h+0.264)}{(\varepsilon_{\text{eff}}-0.258)(W/h+0.8)} \)
Length: \( L = \frac{c}{2f\sqrt{\varepsilon_{\text{eff}}}} - 2\Delta L \)
(c = 299.792 mm/μs)

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