The basic conditions for designing a wide field Michelson interferometer with chromatic and thermal compensation, which is used to measure the upper atmospheric wind field，is briefly described. Comparing with the current method for designing the wide field Michelson interferometer with chromatic and thermal compensation, we present a method uses four media for the compensation of the MI to eliminate the monochromatic thermal aberration. The result shows that, by using this method, the polychromatic thermal aberration is ten to hundred times smaller than the method now in use. The research has important theoretical significance and practical value both for the research and development of the wide field Michelson interferometer with chromatic and thermal compensation for detection of the upper atmospheric wind field.