We describe a new method for the numerical calculation of the zero-order Hankel (Fourier–Bessel) transform that has a high computational efficiency and an accuracy that can be 2 orders of magnitude greater than that of the standard quasi-fast Hankel procedure. The new method offers particular advantages in calculating optical beam propagation and resonator modes at high Fresnel numbers.
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Magni et al. (1992) studied this question.
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