Controlled thermonuclear reactors require consistent monitoring of plasma in the toroidal chamber. Better working conditions of such machines can be monitored by analyzing its radiations. Various wavelengths such as 656.3, 486.1, 464.7 nm are quite significant which are used for health monitoring of thermonuclear machines. The optical thin film filters which work on constructive and destructive interference are the ideal choices. These filters are multilayered with a pair of high and low refractive index dielectric materials. Significantly high transmission index at the desired wavelength and relatively low transmission at the other wavelengths are desired. With this as the objective, it is necessary to design the filter. Various optimization techniques are used for identifying the suitable design of the filters. To choose the parameter combination that provides the most excellent performance, optimization of the design parameters is entailed. The goal of this work is to improve the optical band filter using the Bald eagle search optimization (BES) method. The ideal design is determined by assessing several characteristics such as thickness, refractive index, Full-Width at Half-Maximum (FWHM), and the impact of choosing optical properties, which increases transmission potential. Initially, an alternate multi-layer stack with 28, 30, and 32 layers is created by altering the thickness while keeping the dielectric substances high and low refractive indices constant. By adjusting the thickness of each layer, the BES algorithm achieves the best practical solution. The proposed method is implemented using MATLAB and the outcomes show the efficacy of the proposed technique. The transmittance, reflectance, and FWHM using the proposed BES are found to be 99.9356%, 0.065%, and 1.2 nm respectively.