I have a large class of fourier transform integrals that I would like to solve, approximate, or just get some insight into how they work. They take the form: [itex]\int exp(j*θ(x))exp(-j*ω*x)dx[/itex] with the restriction that θ(x) is real. Now this general class is very hard, but perhaps someone has some insight to it...? Let's consider a specific example which is of interest to me: [itex]\int exp(j*cos(x))exp(-j*ω*x)dx[/itex] So it's the fourier transform of a sinusoidally-rotating rotating exponential...anybody have any clues how to solve or get a functional approximation for the result? Anyways, just thought I'd post here and see if anyone has encountered similar problems. This is being used to compute the near-to-far-field transformation of a special kind of holograms.