Dielectric Height

Operation Frequency

Patch Width (W)

Patch Length (L)

1. Patch Width (W):

$$ W = \frac{c}{2f_r} \sqrt{\frac{2}{\varepsilon_r + 1}} $$

2. Effective Dielectric Constant (ε_eff):

$$ \varepsilon_{eff} = \frac{\varepsilon_r + 1}{2} + \frac{\varepsilon_r - 1}{2} \left( 1 + 12 \frac{h}{W} \right)^{-1/2} $$

3. Effective Length (L_eff):

$$ L_{eff} = \frac{c}{2 f_r \sqrt{\varepsilon_{eff}}} $$

4. Length Extension (ΔL):

$$ \Delta L = 0.412h \frac{(\varepsilon_{eff} + 0.3)\left(\frac{W}{h} + 0.264\right)}{(\varepsilon_{eff} - 0.258)\left(\frac{W}{h} + 0.8\right)} $$

5. Actual Patch Length (L):

$$ L = L_{eff} - 2\Delta L $$