The metal mesh on microwave oven doors effectively blocks microwaves due to the holes being significantly smaller than the wavelengths of the radiation. This phenomenon is related to the "Faraday shield" effect, where electromagnetic radiation is prevented from penetrating a conductive surface. Additionally, the concept of "waveguide beyond cutoff" is relevant, as it describes how certain structures can guide waves while blocking others. While mesh provides good shielding, it is less effective than a solid metal barrier. The discussion also touches on the potential for plasmonic effects at sub-wavelength scales, which can allow some energy to penetrate despite theoretical limitations.