Design of Binary-Sequence Zone Plates in High Wavelength Domains

[EN] The design of zone plates is an important topic in many areas of physics, such as optics, X-rays, microwaves or ultrasonics. In this paper, a zone plate design method, which provides high flexibility in the shaping of the focusing profile, is analyzed. This flexibility is achieved through the use of binary sequences that produce zone plates with different properties and applications. It is shown that this binary-sequence method works properly at low wavelengths, but requires a modification term to work accurately in high wavelength domains. This additional term extends this powerful design method to any wavelength. Simulation results show acoustic focusing profiles for Fresnel, Fibonacci and Cantor zone plates operating at a wavelength of 1.5 mm without any distortion.This work was supported by the Spanish MINECO (TEC2015-70939-R).Fuster Escuder, JM.; Pérez-López, S.; Candelas Valiente, P.; Rubio Michavila, C. (2018). Design of Binary-Sequence Zone Plates in High Wavelength Domains. Sensors. 18(8):2604-1-2604-8. https://doi.org/10.3390/s180826042604-12604-8188Tamura, S., Yasumoto, M., Kamijo, N., Takeuchi, A., Uesugi, K., Terada, Y., & Suzuki, Y. (2009). Quasi-blazed type multilayer zone plate for X-rays. Vacuum, 84(5), 578-580. doi:10.1016/j.vacuum.2009.03.037Hristov, H. D., & Rodriguez, J. M. (2012). Design Equation for Multidielectric Fresnel Zone Plate Lens. IEEE Microwave and Wireless Components Letters, 22(11), 574-576. doi:10.1109/lmwc.2012.2224099Yang, R., Tang, W., & Hao, Y. (2011). A broadband zone plate lens from transformation optics. Optics Express, 19(13), 12348. doi:10.1364/oe.19.012348Calvo, D. C., Thangawng, A. L., Nicholas, M., & Layman, C. N. (2015). Thin Fresnel zone plate lenses for focusing underwater sound. Applied Physics Letters, 107(1), 014103. doi:10.1063/1.4926607Stout-Grandy, S. M., Petosa, A., Minin, I. V., Minin, O. V., & Wight, J. (2006). A Systematic Study of Varying Reference Phase in the Design of Circular Fresnel Zone Plate Antennas. IEEE Transactions on Antennas and Propagation, 54(12), 3629-3637. doi:10.1109/tap.2006.886552Fuster, J., Candelas, P., Castiñeira-Ibáñez, S., Pérez-López, S., & Rubio, C. (2017). Analysis of Fresnel Zone Plates Focusing Dependence on Operating Frequency. Sensors, 17(12), 2809. doi:10.3390/s17122809Kennedy, J. E., Wu, F., ter Haar, G. R., Gleeson, F. V., Phillips, R. R., Middleton, M. R., & Cranston, D. (2004). High-intensity focused ultrasound for the treatment of liver tumours. Ultrasonics, 42(1-9), 931-935. doi:10.1016/j.ultras.2004.01.089Monsoriu, J. A., Calatayud, A., Remon, L., Furlan, W. D., Saavedra, G., & Andres, P. (2013). Bifocal Fibonacci Diffractive Lenses. IEEE Photonics Journal, 5(3), 3400106-3400106. doi:10.1109/jphot.2013.2248707Saavedra, G., Furlan, W. D., & Monsoriu, J. A. (2003). Fractal zone plates. Optics Letters, 28(12), 971. doi:10.1364/ol.28.000971Ferrando, V., Giménez, F., Furlan, W. D., & Monsoriu, J. A. (2015). Bifractal focusing and imaging properties of Thue–Morse Zone Plates. Optics Express, 23(15), 19846. doi:10.1364/oe.23.019846Machado, F., Ferrando, V., Furlan, W. D., & Monsoriu, J. A. (2017). Diffractive m-bonacci lenses. Optics Express, 25(7), 8267. doi:10.1364/oe.25.00826