Introduction: The Invisible Genius Behind Every Beam Have you ever wondered how a massive lighthouse  projects a piercing beam miles across the ocean, or how a tiny AI camera lens in an industrial robot captures a crisp, focused image? The secret isn't just in the glass. It lies in a powerful, invisible mathematical principle that links history's giants to today's cutting-edge nano-optics: the Fourier Transform (FT) . We don't just supply smart systems; we master the light th