The dome on an aircraft is not only for protection, but also a part of the infrared optical system for control and guide. In the past, in order to reduce its impact on the aberration of the imaging system, the traditional dome is designed as a concentric hemisphere. However, when the aircraft flies in a high speed, the problem of air resistance must be taken into account. The hemispheric dome is not the best solution from the aspect of aerodynamic performance of the whole system. Therefore the design of new domes and their associated infrared imaging systems receives special research interest nowadays. This paper presents an efficient approach of designing a special dome and its aberration corrector, using the method of Wassermann-Wolf differential equations to generate the optimum contour of the corrector through a macro in CODE V. This corrector reduces spherical aberration and coma which are introduced by the dome and improves the imaging quality of the system. This paper is based on the Wassermann-Wolf algorithm, aims at the designing of a dome in an infrared system which works in the spectrum of middle infrared with a field of view more than 3.5 and an F number of 1-2.5. It adopts a complex R-C form to make the final imaging quality meet the diffraction limit. The whole system satisfies the imaging requirements in the infrared spectrum, and has a high practical value.