'prolific imagination' is a correct and usable phrase in written English.
You can use it to refer to someone's ability to come up with creative ideas or solutions. For example, "His prolific imagination allowed him to come up with innovative solutions to even the most difficult problems."
Gaboriau's prolific imagination and acute observation generated 21 novels (originally published in serial form) in 13 years.
But each Luper suitcase holds 92 items, and Mr. Greenaway's prolific imagination has spawned a story for every one.
Mr. Matheson had a prolific imagination for the "what if?" story, and he drew his ideas from both actual events and other stories.
Though a far cry from the Nexus-6 models of Dick's prolific imagination, personal robots seem to be shrugging off their science-fiction trappings and becoming very much a technological reality.
He also thanked "Game of Thrones" author George, saying, "His prolific imagination is such a fun world to be a part of".
The director Takashi Miike, famous for the extreme violence and bizarre imagery of films like "Audition" and "Gozu," has a wildly prolific visual imagination, but his energy seems ill-suited to the demands of what is essentially a genre film, another variation on the now-canonical formula of the "ghost in the machine".
Instead, he talks about 'populating' his warehouses with the work that he produces in such immense quantities that even if he wanted to sell, the market couldn't absorb all that he creates, so fecund and prolific is his imagination".
What drove an imagination so prolific that he was able to write a novel in 11 days?
And here we are, some six decades along, with Ron Hansen having become one of our most honored and prolific authors, living proof of how imagination can step free of every literal habitation.
"His energy and output was prolific before the war, and his imagination was still active as his sketchbooks at the front testify.
The divided self was Redgrave's private predicament and theatrical glory - and it explains the extraordinary hold that this prolific family has had on the public imagination.
