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In the early 90's, there were ideas being brought forth to eventually replace the F-14 from USN service. The name of the program was the Naval Advanced Tactical Fighter.
At this time, the USAF was deciding upon the next generation of aircraft which would eventually lead to the F-22.
Seeing stealth as being the eventual means to keeping a modern naval air wing, several proposals were created based on a similar overall design as the Tomcat. But with probable costs expected to be very high due to complicated engineering and a tech still in it's infancy, the idea was dropped in 1992.
The pic was an idea from Lockheed Martin, very much based on their Raptor.