passive devices, realizes the purpose of real-time tracking far away from the external excitation frequency, and has the advantages of a wide frequency band and an outstanding effect of vibration reduction/isolation [2]. For active vibration reduction technology, its actuators and control systems require continuous input control of external energy, which requires the support of high-order software algorithms and has a complex structure and high cost [3,4]. At the same time, active vibration reduction usually can only effectively isolate low-frequency interference and has poor effect on high-frequency interference.  
In view of this, the semi-active isolation/isolation technology based on MRE devices with certain adaptive performance is used to isolate and buffer the vibration of airborne optical equipment. Its structure is simple and reliable, and it has good stability and applicability. However, in order to maximize the high performance of MRE and complete the reliable control application of the device, it is necessary to realize the effective development of MRE devices. Throughout the current research on the development of MRE devices [5, 6, 7], it mainly focuses on the design of device structure and magnetic circuit analysis and lacks design theory support and optimization theory of device structure and performance.  
MRE is a special magnetorheological material based on solid polymer rubber polymer [8]. In 1992, [PERSON] et al. [9] found that MRE has an electro-viscoelastic effect and studied its mechanical properties. In 2014, [PERSON] et al. [10] designed a new type of composite variable stiffness damper by combining MRE and MRG. In 2017, [PERSON] et al. [11] developed a dynamic stiffness spring device that controls the magnetic compression modulus by changing the magnetic field strength. In 2021, [PERSON] et al. [12] carried out multi-objective optimization design of shear and compression magnetorheological elastomers and related structural parameters at the same time for the existing magnetorheological elastomer isolators. After optimization, the total magnetic stiffness and power were obviously improved. In 2024, [PERSON] et al. [13] designed a single-cylinder magnetorheological damper and studied its damping force, and the MRE overcomes the problems of poor stability, easy settlement, and easy leakage, which has broad application prospects in the fields of precision platform vibration isolation [14], engine vibration isolation [15], intelligent vibration absorber [16], and spacecraft landing buffer [17].  
Based on the above analysis, this paper applies the semi-active reduction/isolation technology innovation based on MRE devices to the vibration isolation and buffering design of an airborne electro-optical countermeasure system. Compared with the existing passive/active vibration reduction technology, the vibration isolation effect is good, the structure is simple and reliable, and has good stability and applicability. Low cost. Secondly, based on the design goal, this paper innovatively establishes a mathematical model between the magnetic induction intensity and the structural size of the MRE isolator and uses the finite element method to optimize its comprehensive performance. Compared with the existing MRE device development process, the optimal solution to meet the performance index can be obtained accurately, quickly, and efficiently, is shown in Figure 1.