Patch Antenna Calculator _top_ -

[ \varepsilon_reff = \frac\varepsilon_r + 12 + \frac\varepsilon_r - 12\left(1 + \frac12hW\right)^-1/2 ]

[ L = \fracc2f\sqrt\varepsilon_reff - 2\Delta L ] patch antenna calculator

A microstrip patch antenna consists of a flat rectangular (or circular) conductive patch on a dielectric substrate (circuit board material), with a ground plane on the opposite side. patch antenna calculator

[ \frac\Delta Lh = 0.412 \frac(\varepsilon_reff + 0.3)(W/h + 0.264)(\varepsilon_reff - 0.258)(W/h + 0.8) ] patch antenna calculator

[ W = \fracc2f \sqrt\frac\varepsilon_r + 12 ] where (c) = speed of light ((3\times10^8) m/s)