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Conical refraction of optical beams with circular symmetry is often analyzed using Belsky&#x2013;Khapalyuk&#x2013;Berry (BKB) theory; however, for beams with noncircular symmetry, it is difficult to obtain analytical expressions for far-field diffraction patterns. We propose a method, based on fast Fourier transform (FFT), for calculating conical refraction of beams with noncircular symmetry and verify it experimentally using a quasi-plane wave passing through a square aperture and focusing lens. Excellent agreement between theoretical and experimental results has been achieved.

Method Based on Fast Fourier Transform for Calculating Conical Refraction of Beams With Noncircular Symmetry