LPAM antennas are more difficult to construct than their FM cousins.
Practical LPAM antennas, while seemingly awful on paper, work quite well in the real world. Lower frequency signals propagate better than higher frequency, which almost makes up for antenna inefficiency. Also, there are tricks to make shortened antennas perform better.
Antenna Theory
First, it is important to understand that frequency can be measured in terms of physical length. And Medium Wave AM antenna are very long. For example, for 1600kHz the length would be 154 feet. As you can see, these are very long antennas! For reasons of practicality (and for Part-15 broadcasters legality) most people will have to settle for much shorter antennas.
As for recommendations
There is a huge amount of information on Google just search for "PART 15 AM Antenna"
Here are a couple of links to get you started with loads of information, its up to you to decide what suits your needs
AM Transmitting Antenna Articles
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