Cooling or heating binoculars can affect the transmitted image due to changes in the refractive index of the materials involved. The refractive index is influenced by temperature, which can alter the focus, similar to the effects seen in telescopes. The electron density, which impacts the refractive index, is affected by the lens density and the differential thermal expansion between the lens and its housing. Therefore, temperature variations can lead to noticeable changes in image quality. Proper understanding of these effects is crucial for optimal binocular performance.