This is my perspective. Akhenaten converted to monotheism because of the 10 plagues. It's just that simple. Right now, archaeological dating has painted themselves into a tight corner as far as the dating of the buildings by Solomon and the fall of Jericho. Either one of those references points to the Amarna Period as the time of the Exodus, not that historians hadn't already dated the Exodus at the end of the reign of Amenhotep III. So there is no excuse for wondering at this time when the Exodus occurred, at least not by the archaeologists. But they are avoiding linking the Exodus to Akhenaten. Probably because it would be the surest and most convincing evidence of the Exodus,
So you ask about "secular sources"? Here's the most critical one:
The closest reference we have of dating the Exodus by archaeology is the fall of Jericho. Archaeologist Dame Kathleen Kenyon concluded that the Israelites destroyed LBA Jericho sometime beteween 1350-1325 BCE.
That's your SECULAR reference for when the Israelites destroyed Jericho. Kenyon noted that that did not support at least two popular theories for when the Exodus occurred. Here is her quote:
Kathleen Kenyon: Digging Up Jericho, Jericho and the Coming of the
Israelites, page 262:
"As concerns the date of the destruction of Jericho by the Israelites, all
that can be said is that the latest Bronze Age occupation should, in my
view, be dated to the third quarter of the fourteenth century B.C. This is a
date which suits neither the school of scholars which would date the entry
of the Israelites into Palestine to c. 1400 B.C. nor the school which
prefers a date of c. 1260 B.C."
This is the beginning of your SECULAR evidence for the Israelites at this time. But few want to deal with this. It is a reference avoided like a plague. People get upset when I bring up this quote. But whether you agree with her or not, it's there. It is a "secular" reference that supports the Bible. It's just a matter of educating yourself to what's out there.
Secular Reference problem #2: Radiocarbon-14 dating for Shishak. There was a sample of short-lived stored gain found at Rehov that archaeologists have tested with advanced radiocarbon-14 methods that point to c. 871 BCE as the date of the destruction of that level which is linked to Shishak. If that's the case, then that means year 39 of Solomon should have fallen c. 871 BCE. That forces us to date his 4th year to 906 BCE and the Exodus to 1386 BCE. It's just that simple.
But when we compare the date of 1386 BCE for the Exodus to 40 years later in 1346 BCE for the fall of Jericho, we get a confirmation from Kenyon for that date.
So you have two archaeological reasons to date the Exodus during the time of Amenhotep III, besides a historical reference by Syncellus in the 8th Century AD. Of course, once we look closer at whether Amenhotep III qualifies as the pharaoh of the Exodus, for instance, ruling for less than 40 years, which he does, then it becomes a dramatic eye opener. That's because of AKHENATEN. Akhenaten became a monotheist and suppressed all the gods of Egypt as "worthless."! That was the entire point of the 10 plagues, to prove Yahweh superior to the phony gods of Egypt. Akhenaten got the message and became a monotheist like the Jews. How obvious can it get?
We start there. The evidence continues to mount up in support of the Bible's relative history for the Exodus to Shishak.
At this point, though, or at some point, we have to deal with the "secular" dating for the Exodus. The WTS dates the Exodus to 1513 BCE, so it is not relevant to when archaeology is dating the Exodus. Others presume the Exodus occurred at the time of Rameses II whose reign ended in 1213 BC; way too late for the attack on Jericho in 1350 BC. So those dates don't seem to be accurate as far as archaeology goes. But what about the Bible's dating for the Exodus?
Easy. The Exodus is the first celebrated jubilee of a covenant period of 70 jubilees. 70 jubilees is 3430 years (70 x 49 = 3430). A jubilee period is 49 years. The promise to the Jews to restore them to their homeland after a great tribulation. That great tribulation was the Holocaust and, indeed, the Jews were officially out of exile on November 30, 1947. That begins the 49-year period of the 70th jubilee, which occurs from 1947-1996. That means we can use 1947 to date the Exodus, skipping past all the chronology and historical issues connected to the Neo-Babylonian and Persian and Greek Periods! (i.e. no 607 vs. 587 BCE debates).
If the 70 jubilees end in 1996, then they begin 3430 years earlier in 1435 BCE. The first jubilee event of this period would be 49 years later, understandably the Exodus, thus the Exodus per the Bible would be dated to 1386 BCE! Now that is interesting, because that is exactly the same date we get for the Exodus using radiocarbon-14 dating from Rehov! It matches the archaeological period for the fall of Jericho.
So this is really a done deal. The bible dates the Exodus precisely where archaeology is dating it. So it's over. Akhenaten's monotheism is an obvious response to the 10 plagues, so it clearly must have happened. The Bible is vindicated. So SECULAR and the Bible are on the same page, at least for when we must date the Exodus. The Bible requires us to date the Exodus to the specific year of 1386 BCE, and archaeology points to the same dating. It's just that simple.
But dating the Exodus specifically to this time apparently opens up a can of worms for the field of Biblical archaeology and so they choose to avoid this face down up until now. Truth or supporting Bible history is not their goal as much as bringing false criticism against the Bible as history. So you can't trust them. You have to blast them for their dishonesty and bias.
And there is LOTS MORE!