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A simple three-level system is proposed to produce high index of refraction with zero absorption in an Er3+-doped yttrium aluminium gaet (YAG) crystal, which is achieved for a probe field between the excited state 4Ⅰ13/2 and ground state 4Ⅰ15/2 by adjusting a strong coherent driving field between the upper excited state 4Ⅰ11/2 and 4Ⅰ15/2· It is found that the changes of the frequency of the coherent driving field and the concentration of Er3+ ions in the YAG crystal can maximize the index of refraction accompanied by vanishing absorption. This result could be useful for the dispersion compensation in fibre communication, laser particle acceleration, high precision magnetometry and so on.