I have recently learned that I have an urgent domestic flight tonight. I am curious about whether I can carry the device with me. The device I want to carry is 33120A Arbitrary Waveform Generator. I will appreciate any help.
You did not specify a country for your domestic flight, but in general:
Assuming you do not intend to power it on and use it during the flight, it should not be a problem. Esoteric and unusual electronics may get a bit more screening by security services, but should not be explicitly banned.
I recommend allowing extra time for security screening, and it may help if you have instruction manuals and other documentation to help security understand what the device is and why it is not a threat.