Patch: Antenna Calculator

The physical length of the patch is the primary factor determining the resonant frequency. It is roughly half a wavelength in the substrate, minus the length added by the fringing effects:

where εr is the relative permittivity of the substrate material, μ0 and ε0 are the permeability and permittivity of free space, respectively, and L and W are the length and width of the patch, respectively. patch antenna calculator