I am facing a problem in the calculation of the effective length of monopole antenna different pieces. Can anybody guide about this problem? The pic is attached below which I take from published work. Thanks
Dear Falih Alnahwi thanks for answering, but the calculated values according to your formulas didn't match with the given values as above. He is taking effective permittivity which encounters substrate height and radiator width, as shown in the above pic. I am confuse in "W" width radiator. Can you explain it little bit more?
The formula used by the author is accurate for Microstrip structures .. I means that it is accurate for antennas that are fully covered by the ground plane..
The approximation I gave does fit the monopole antennas that are partially covered by the ground plane because the fringing fields of this type of antenna is passed through the air and the dielectric material used for the antenna without facing any ground plane in its way. As a result, the effective dielectric constant can easily be approximated by taking the average of the dielectric constant of the air (which is equal to 1) and that of the dielectric material. (eps_r+1)/2
Check your antenna .. whether it is fully or partially covered by the ground plane
If you find that your antenna needs the approximation given in the paper, (W) means the width of the piece of the antenna that you want to calculate its length.
The length is the dimension parallel to the current path
The width is the dimension perpendicular to the current path