Microstrip Patch Antenna Calculator

Microstrip Patch Antenna Calculator

Design a rectangular microstrip patch antenna using:
\( W = \frac{c}{2f}\sqrt{\frac{2}{\varepsilon_r+1}} \), \( \varepsilon_{\mathrm{eff}} = \frac{\varepsilon_r+1}{2} + \frac{\varepsilon_r-1}{2}\left(1+12\frac{h}{W}\right)^{-1/2} \),
\( \Delta L = 0.412\,h\,\frac{(\varepsilon_{\mathrm{eff}}+0.3)(\frac{W}{h}+0.264)}{(\varepsilon_{\mathrm{eff}}-0.258)(\frac{W}{h}+0.8)} \), \( L = \frac{c}{2f\sqrt{\varepsilon_{\mathrm{eff}}}} – 2\Delta L \)
where \( f \) is in GHz and \( h \) is in mm.

* Enter the resonant frequency (GHz), substrate dielectric constant (εr), and substrate thickness (mm).

Step 1: Enter Design Parameters

Example: 2.45 GHz

Example: 4.4 (e.g., for FR4)

Example: 1.6 mm

Derived Equations:
\(W = \frac{c}{2f}\sqrt{\frac{2}{\varepsilon_r+1}}\),  \(\varepsilon_{\mathrm{eff}} = \frac{\varepsilon_r+1}{2}+\frac{\varepsilon_r-1}{2}\left(1+12\frac{h}{W}\right)^{-1/2}\),
\(\Delta L = 0.412\,h\,\frac{(\varepsilon_{\mathrm{eff}}+0.3)(W/h+0.264)}{(\varepsilon_{\mathrm{eff}}-0.258)(W/h+0.8)}\),  \(L = \frac{c}{2f\sqrt{\varepsilon_{\mathrm{eff}}}}-2\Delta L\)


Practical Example:
For \(f=2.45\,\text{GHz}\), \(\varepsilon_r=4.4\), and \(h=1.6\,\text{mm}\), the calculator computes the patch width, effective dielectric constant, length extension, and patch length.