| Left-handed material (LHM) is artificial composite materials with negative permittivity and permeability. With phase velocity and group velocity in the opposite direction, it shows a series of magnetic anomalies Characteristics, such as Doppler-Effect Cherenkov radiation, Goos-Hiinchen displacement, negative refraction and perfect lensing. LHM is the front and the hot issue of the electromagnetic field. This paper studies the theory of CRLH transmission line, and analyzes its structure principle. On the basis of the traditional left-handed transmission line, we get that parameterβcan be visual observed with the peak of electric field. With double asymmetric rectangular patch structure, a new dual-band left-handed transmission line get achievedBased on the theory of Left-handed transmission line, leaky wave antenna is analyzed theoretically. We get that CRLH transmission line structure can be used to design leaky wave antenna. Compared leaky wave antenna of signle left-handed with two left-handed transmission line, it can know that edge emitting radiation can be got.In the last chapter of this paper, the popular RA-antenna is analyzed. RA antenna can be approximately interpreted as LWA-antenna when the periodic structures are enough. By the RA-antenna analysis and simulation, We can know that the frequency independence of RA-antenna can be used in enhancing the directional of antennas. Because of the existence of n =-1, n = +1 mode, the RA-antenna have multi-band characteristic. All those provide a broad prospect for the practical application of RA- antenna.
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