Electromagnetic waves store information by modulating their properties, such as turning the wave on and off, similar to Morse code but more complex. Higher frequency waves can store more information due to their ability to be toggled rapidly without distortion. Techniques like amplitude and frequency modulation are commonly used to transmit data over radio waves. Information can also be encoded through various physical properties of the electromagnetic field, including polarization and pulse duration. Understanding these principles is crucial for applications like fiber optics and data transmission.