Numerical analysis and experiments of LED generating bottle beams

The bottle beam was analyzed by using the discrete Fourier method for the first time in this paper. The bottle beam intensity distribution was described by discrete Fourier transform, then Sellmeier formula was added to adapt to a LED light source with some spectral width. By considering sampling and discrete variables, discrete Fourier's formula of bottle beam generated by a LED light source was derived. At last, the parameters were substituted and the intensity distribution of the beam at different distance was obtained by the numerical simulation with MATLAB. Experiments were designed to verify it, and the experimental results showed that using LED as light source can produce high-quality bottle beam. Numerical simulation is in line with experimental results basically, which proves the discrete Fourier transform method is feasible to analyze bottle beam generation by incoherent light. Furthermore, compared to conventional scalar diffraction theory, it is more simple and fast. It's a new and reliable way to study bottle beam.