The most reliable method for transmitting waves for communication among the options provided is the use of fiber optics to transmit a digital signal.
Fiber optics transmit data as pulses of light through flexible glass or plastic fibers, allowing for high-speed, high-capacity communication over long distances with minimal loss of quality. This method is widely used in modern telecommunications due to its efficiency and reliability.
The other options—knocking on doors, using the postal service, and printed newspapers and magazines—are less reliable for immediate or long-distance communication, as they are slower and dependent on physical delivery rather than continuous and instantaneous signal transmission like fiber optics.