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A broadband on-glass antenna for automobiles based on a mesh structure is designed for operation in the VHF and UHF bands. A genetic algorithm is used to optimise the mesh-grid structure of the antenna for good impedance matching. The optimised antenna operates similarly to a loop antenna and is well matched to a system impedance of 250 Ω. The results of simulation and measurement on a prototype antenna on a ground plane show an average VSWR of 1.67 and 1.70, respectively, over the frequency bands of interest.