[ L = \fracc2f\sqrt\varepsilon_reff - 2\Delta L ]
ϵeff=ϵr+12+ϵr−12[1+12hW]−12epsilon sub e f f end-sub equals the fraction with numerator epsilon sub r plus 1 and denominator 2 end-fraction plus the fraction with numerator epsilon sub r minus 1 and denominator 2 end-fraction open bracket 1 plus 12 the fraction with numerator h and denominator cap W end-fraction close bracket raised to the negative one-half power is the thickness or height of the dielectric substrate. patch antenna calculator
) —of a microstrip patch antenna based on a target operating frequency and the properties of the substrate . [ L = \fracc2f\sqrt\varepsilon_reff - 2\Delta L ]
In this paper, we presented a comprehensive review of patch antenna design principles and introduced a patch antenna calculator, a design tool that simplifies the design process. The calculator takes into account the design parameters, including resonant frequency, substrate material, and patch dimensions, and calculates the required patch dimensions and feed location. The example design demonstrates the effectiveness of the calculator in designing a patch antenna for a wireless communication system. The calculator takes into account the design parameters,
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.
Due to the fringing fields at the edges, the patch appears electrically longer than its physical length. This extra length is represented by ΔLcap delta cap L