Probably not very wide, although there are more works than you might think. Some of these works, especially older works, were non-fictional. I will list a few works about Japan that were published in the USA and/or written in the USA or by American authors. Maybe more (non-fictional?) works can be found in A Collector's Guide to Books on Japan in English, Joseph Rogala, 2001.
Japan as It Was and Is (1855)
This was written by Richard Hildreth, who was, according to Wikipedia an American journalist, author and historian. However, it is non-fictional.
Japan in American Fiction, 1880-1905
It looks like there are at least two books in the series "Japan in American Fiction, 1880-1905":
- Young Americans in Japan or the Adventures of the Jewett family and their friend Oto Nambo
- A Muramasa blade, a story of feudalism in old Japan
The first novel (you can read it here), was written by Edward Greey (1835-1888). Although he was born in England, he moved in 1868 to New York City. He wrote several Japan themed books, including Young Americans in Japan; or, The Adventures of the Jewett Family and their Friend Oto Nambo. (source, here you can find a longer list of novels)
The second one, A Muramasa blade, a story of feudalism in old Japan (you can read this here), was written by Louis Wertheimber. I can't find much information about this author. The book was published in 1887 by Boston: Ticknor and Company
The American Diary of a Japanese Girl (1901)
According to Wikipedia, this was the first English language novel published in the United States by a Japanese writer, although I do not know whether this counts as American literature.