Abstract
A novel method is proposed for simulating free-space propagation. This method is an improvement of the angular spectrum method (AS). The AS does not include any approximation of the propagation distance, because the formula thereof is derived directly from the Rayleigh-Sommerfeld equation. However, the AS is not an all-round method, because it produces severe numerical errors due to a sampling problem of the transfer function even in Fresnel regions. The proposed method resolves this problem by limiting the bandwidth of the propagation field and also expands the region in which exact fields can be calculated by the AS. A discussion on the validity of limiting the bandwidth is also presented.
Highlights
The study of the propagation of wave fields in homogeneous and isotropic mediums has a long history
A novel method is proposed for simulating free-space propagation
This method is an improvement of the angular spectrum method
Summary
The study of the propagation of wave fields in homogeneous and isotropic mediums has a long history. It has a serious disadvantage, in that the sampling window and intervals are proportionate to the propagation distance. Since the CV-FR is not suitable for far-field calculation for the same reason, a multi-step method has been proposed for the CV-FR [19] This method, causes a different error especially in long distance propagation, because the cascaded sampling windows used are equivalent to diffraction by. We propose an improved AS that features suitability for long distance propagation as well as short distance propagation This new method resolves the sampling problem in the AS and avoids the aliasing error of the transfer function by limiting the bandwidth and truncating unnecessary high-frequency signals in the input source field. The suitability of limiting the bandwidth is discussed in relation to the minimum bandwidth required for exact numerical propagation
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