Characteristics of Modes in Fiber Including Left-handed Material

A step-index optical fiber has been discussed with left-handed material as the core,and right-handed material as the cladding by using Maxwell's equations.An equation of electromagnetic fields is obtained.Through complex procedure,a characteristic equation of the rigorous solution is obtained.According to classification of vector modes,eigenvalue equations about TE modes,TM modes,EH modes and HE modes are deduced.By using those equations and comparison with that of right-handed material fiber,some novel characteristics of the left-handed material fiber near cutoff and far from cutoff are gained respectively.