An effective two-dimensional FFT subroutine in Fortran 77 can be sourced from established libraries rather than being programmed from scratch, as creating these numerical building blocks is complex and often unnecessary. Recommended libraries include MKL and ACML for comprehensive numerical solutions, including matrix operations. FFTW is also a viable option, particularly for Linux systems, but users should note that it is primarily written in C. For those seeking alternative solutions, Ooura's Mathematical Software Packages offer efficient FFT routines that are user-friendly. Utilizing these libraries ensures optimal performance and accuracy in FFT implementations.