I happen to have coins of this type for all three emperors - Arcadius, Honorius and Theodosius II (I'm not aware of any issues of this type for Theodosius I, who was long dead when these coins were made).
This type is one of the earliest for Theodosius II, who would've been about 5-7 years old when these coins were made; it is, consequently, found in much better condition than many later types for this relatively uncommon ruler.
As it happens, my Theo II coin of this type is very possibly in even better condition than the pictured example above; unfortunately, while I did make a pretty decent photo of that coin, it isn't on this computer (but there's a lower-quality photo in
this thread - that coin is the top left, top and top right are Arcadius and Honorius respectively; discussion at the linked thread is also welcomed, as I feel I didn't get quite enough back then).