I need to know how to prove that an antenna for smartphones is precisely electrically small antenna (ESA). I have a planar monopole antenna on a ground plane. Approximately, the antenna have dimensions of 15 x 15 square millimeters and the ground plane have dimensions of 70 x 60 [mm]. I do not know exactly how to apply the theorem of Chu. Please some suggestions.
antennas are classified as miniature when "a< lamba/(2.Pi)",
where "a" is the minimum radius of the sphere that encloses the antenna.
So you can check your antenna accordingly. Take into account the operating frequency too.
But I must consider only the antenna to calculate the radius 'a' or one should consider the antenna and the ground plane?
You must consider both, antenna and ground plane.
In this PhD Thesis there are many examples to radiation coupling of the ground plane using the theory of the characteristic modes.
http://herkules.oulu.fi/isbn9789526201085/isbn9789526201085.pdf
Look also this PhD Thesis
http://riunet.upv.es/bitstream/handle/10251/2188/tesisUPV2809.pdf?sequence=1
This document gives a good introduction to small antennas:
http://www.mhprofessional.com/downloads/products/0071625534/0071625534_chap01.pdf
In mobile communications, we usually use inverted F antennas.
Printed and planar monopole antennas usually have omni-directional patterns and have large bandwidths whose bandwidth is much larger than the bandwidth we require for mobile applications.
Just a theorectical concept. don't expect you can ude it in design but estimat possible limitation.
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