Abstract
In this work, we analyze the effect of the distribution of transparent Fresnel regions over the focusing profile of Soret Zone Plates (SZP) based on binary sequences. It is shown that this effect becomes very significant in those fields where directional transducers are employed, such as microwaves or acoustics. A thorough analysis of both the SZP transmission efficiency and the focusing enhancement factor is presented. Moreover, experimental measurements are also carried out for a particular type of binary sequence, the Cantor ternary set, validating the theoretical model and demonstrating that the distribution of transparent Fresnel regions becomes a critical parameter in applications requiring directional emitters.
Highlights
Acoustic waves are employed in a wide range of fields because they are able to penetrate deep into objects or biological tissues where optical techniques are not feasible due to scattering and absorption
We have analyzed the impact that the distribution of transparent and opaque Fresnel regions has on the focusing capability of a Soret Zone Plates (SZP) generated from a binary sequence, when considering directional emitters
Simulations have shown that, at first sight the transmission efficiency of the SZP should be an important parameter in determining the selection of the optimum SZP, it has no weight on the decision
Summary
Acoustic waves are employed in a wide range of fields because they are able to penetrate deep into objects or biological tissues where optical techniques are not feasible due to scattering and absorption. Despite the high versatility and focusing capabilities of holographic lenses and acoustic metasurfaces, these kind of structures usually require a complex design process with optimization algorithms and 3D wave propagation numerical simulations to achieve the desired pressure pattern. Fresnel Zone Plates (FZPs) are planar monofocal lenses that can achieve a good focusing performance while maintaining an easy design and manufacturing process. This type of lenses have been widely employed since decades ago in various fields, including microwaves [12], optics [13,14], and acoustics [15,16,17]. We are going to extend this research to any kind of SZP based on binary sequences [18]
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