Interference patterns of two non-diffracting beams

The interference field of two non-diffracting beams is derived analytically. We arrange the experiments with an axicon illuminated by two monochromatic oblique beams. Based on the diffraction properties of an axicon in the case of oblique illumination, the intensity distribution of interference pattern was calculated, and it was demonstrated to be the superposition of zero-order Bessel functions. The locus of interference fringes is also analyzed to be hyperbola according to the zero formula of zero-order Bessel function. The experimental results are verified the numerical simulation.