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Well, the bow is shooting but the tiller isn't to my liking yet, so will move on for a bit to another task.

I think the reference to "different" was in respect to Japanese Yumi long bow, they have their own tradition of horse archery as well. The Koreans generally used a shorter horn backed bow. Like most things today, there are websites for Korean Archery and Japanese Archery and Horse Bows. Fortunately, there are fiberglass reproductions available in most cultural affiliations, given the high price of traditional crafted examples.
There is a horse bow festival each year in Ft. Dodge Iowa around Labor Day. It beginning to have a following here in the US. The bows of the Rohan horse archers are good examples, doubtless there will be a few in attendance.

Foot bows, another type, I know that they were used for flight or distance shooting, and there is still a small but dedicated following here in the US.

There are some references to large, long bows used to launch a heavy arrow against fixed or massed targets, but distance along is its forte.

Thanks for the interesting info! That horse bow festival sounds neat. My friend from Tibet was telling me about his experience shooting from horseback there, which I found fascinating. It's pretty cool there are societies dedicated to such arts as that and the Japanese and Korean archery traditions. On the large long bows and heavy arrows, here is a book with some stuff on that I read recently that you might find enjoyable if you haven't read it already:

Ralph Payne-Gallwey, The Book of the Crossbow

A facsimile reprint of The Crossbow published in 1903 by Longmans, Green, and Co. in London. Surveys the history of the crossbow with comparisons to the longbow, shortbow and handgun; the construction and management of medieval and modern crossbows; and the ancient and medieval siege engines that stand in evolutionary relation to crossbows as cannons do to rifles. An appendix looks at Turkish and other oriental bows.