Here are a few pictures of narrow profile white wood self bows. They are hard maple, yellow birch, and American beech. The weights are between 58# and 61# @ 26 inches. 2 of them are 52" ntn and the other is 54" ntn (beech). All of these are Native American types and double curved, 2 with "flipped tips" and one with straight tips. Retangular in section.
I see your bow has a rigid handle (mine are "d" bows with bendy handles) so I dont know if these are of interest to you. These were made to explore the "typical" hardwood self bows of the Natives at the dimensions stated in the museum specimens. The bows are between 1.12" and .997" wide at the grip and are 6" parallel with slow strait tapers to 3/4" tips. I dont make them to any particular specs other than the width and taper, then simple belly taper to the draw length and weight desired.
Like I said, these aren't the same style as yours, but maybe of some use to you.
rich