Matter waves, such as those associated with electrons, are fundamentally different from electromagnetic waves in that they do not require a medium for propagation. Instead, matter waves are described by quantum mechanics and represent the wave-like behavior of particles, characterized by their wavelength and momentum. While photons propagate through electromagnetic fields, matter waves are linked to the wave function in quantum mechanics, which describes the probability distribution of a particle's position. The discussion highlights the distinction between matter waves and light waves, emphasizing that both can exhibit unique diffraction patterns. Understanding matter wave propagation involves recognizing the role of quantum fields rather than classical mediums.