You have what appears to be an oscillation at 50 Mhz according to your timebase
on scope shot.
Yes.
Very fast amps have to have very careful low L layout and excellent
bypassing. Look carefully at bypass C specs, you should have a .01, 01 uF ceramic
as well as bulk bypass, eg, 1 uF or greater.
From my limited understanding of reducing inductance, I tried to keep signal paths as short as possible and used metal film resistors. I understand that SMD resistors may be preferable to through-hole, but I have found tiny smd components do not play well with old eyes and shaky hands.
The initial capacitor values were chosen from the TI spec sheet -- .01uF bypassing the chip pins, and 2.2uF bypassing the rails. TI did spec ceramic for the .01 and I used polyester film because a) that's what I had in that value and b)I understand they are more linear in response. Similarly, TI specified 2.2 tantalum caps and I used aluminium electrolytic at the rails because that's what I had. All that said, the power supply seems rock steady with no significant ripple.
TI did not specify the type of feedback capacitor, merely advising "For the LM7171, a feedback capacitor of 2pF is recommended". I used a ceramic disk -- again, because that's what I have.
If you look at ceramic datasheets not all ceramics have good esr curves at RF.
Given that I bought a grab-bag of various size capacitors from Radio Shack a few years back and later augmented that with a variety pack purchased on-line (don't remember exactly where from), I cannot characterize them better than the general construction type.