I apologize if this the wrong section to ask this question. I have a bit of a problem and the Flyertalk community seems to be the most knowledgeable regarding these things.

I plan to travel to Korea from the US in about a month. My parents made a suggestion to book a flight with a stop in Japan rather than non-stop in order to save some money. (I will be traveling Korean Air.) Interested, I thought this could be a chance to see a little bit of Japan on my way to Korea.

Unfortunately, the only connecting flight is from LAX to NRT to ICN has a 1 hour and 30 minute layover (not changing planes, I think they are just cleaning/preparing for the night flight) which will not be enough time to do anything.

Is possible to arrange or force a longer layover (ideally still under 24 hours) that would give me a chance to explore Narita without substantially increasing fees/costs?

UPDATE: I called Korean Air and asked a representative if it was possible to exit the flight at NRT and board again the following day. She said it was possible, but there would be some sort of tax involved. Not sure what this tax is and she had trouble explaining it. If anyone could clarify, that would be great. I gave them my approximate departure dates and she quoted me a new price which was around a $100 more than what it would cost without extending the layover. I'm not paying for the tickets myself, so I'll have to talk to my parents about it first, but hopefully I can make a decision before it's too late and prices get too high.