Why can shortwave radio waves travel for thousands of kilometers without loosing strong signal?
It's a bit tricky to put into words if you don't have a background in electronics. I'm going to try my best though so don't judge me too hard.
Above the earth there is a layer of the atmosphere called the ionosphere. It has a property that allows it to reflect radio waves, however it is better at reflecting longer wavelengths (AM) than shorter wavelengths (FM) The shorter wavelengths get distorted and dispersed while the longer wave lengths can get through with a signal that can still be picked up. This is why when you get further away from an AM radio station the quality is significantly worse than when you are closer (especially over the distance of several hundred miles) because the audio you are hearing is passing through the ionosphere first.
Higher frequencies have more of a tendency to pass through the ionosphere than reflect off of it, this is why satellite communications use even higher frequencies than FM (need to get the signal through).
Also, the ionosphere is not a fixed distance from the earth's surface. During the day it becomes more energetic from sunlight passing through it and it expands getting closer to the surface of earth. At night it settles and recedes. This is why you can usually hear AM stations from further away during the night.
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