There was no mention at all in the bible of the reference being to Satan. However, when preparing the Latin Vulgate, they merged the words Lux (Light) and Ferre (To bring) into "Lucifer". Because it sounded somewhat similar to the apocryphal story of Satan being cast from the heavens, many people took it to be referring to Satan, and eventually, the word "Lucifer" came to mean "Satan".
However, Jesus is referred to by the exact same words as were used to form "Lucifer". Furthermore, "Light bringer" would be a horrible choice of words to describe a being that the bible says dwells in darkness. Satan doesn't have a grave where he is buried. Etc. On the other hand, Nebuchadnezzar is temporarlly correct, the analogy is correct, etc.
It is kind of funny how people take certain words like "Lucifer" to mean something because they think the bible says that they do, when it doesn't. Another good case is the word "Devil". One attempt that I read to trace back the root of the word traced it to the Persians. Where did they get it? They fought the Hindus; the Hindus believed in "Devi", the Great Goddess (the word litereally means "Goddess"). Naturally, since it was a good deity to their enemies, it was an evil one to the Persians.
"Illuminant light,
illuminate me."