Analysis of Fresnel Zone Plates Focusing Dependence on Operating Frequency

The focusing properties of Fresnel Zone Plates (FZPs) against frequency are analyzed in this work. It is shown that the FZP focal length depends almost linearly on the operating frequency. Focal depth and focal distortion are also considered, establishing a limit on the frequency span at which the operating frequency can be shifted. An underwater FZP ultrasound focusing system is demonstrated, and experimental results agree with the theoretical analysis and simulations.

[1]  J. Goodman.  Introduction to Fourier optics , 1969 .

[2]  A. G. Bashford,et al.  Focussing of ultrasonic waves in air using a micromachined Fresnel zone-plate , 1997 .

[3]  Yong Li,et al.  Acoustic focusing by coiling up space , 2012 .

[4]  J. M. Fuster,et al.  Pinhole Zone Plate Lens for Ultrasound Focusing , 2017, Sensors.

[5]  Hristo D. Hristov,et al.  Fresnal Zones in Wireless Links, Zone Plate Lenses and Antennas , 2000 .

[6]  J. Stamnes.  Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves , 1986 .

[7]  Pai Peng,et al.  Flat acoustic lens by acoustic grating with curled slits , 2014 .

[8]  D. O'shea,et al.  Diffractive Optics: Design, Fabrication, and Test , 2003 .

[9]  F. Gleeson,et al.  High-intensity focused ultrasound for the treatment of liver tumours. , 2004, Ultrasonics.

[10]  Antonio Uris,et al.  Ultrasonic Lens Based on a Subwavelength Slit Surrounded by Grooves , 2014, Sensors.

[11]  W. T. Welford,et al.  Gradient Index Optics , 1979 .

[12]  Constantin Coussios,et al.  High intensity focused ultrasound: Physical principles and devices , 2007, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[13]  Shamachary Sathish,et al.  Focusing of longitudinal ultrasonic waves in air with an aperiodic flat lens. , 2011, The Journal of the Acoustical Society of America.

[14]  P. Ginzburg,et al.  Bifocal Fresnel Lens Based on the Polarization-Sensitive Metasurface , 2017, IEEE Transactions on Antennas and Propagation.

[15]  Broadband aperiodic air coupled ultrasonic lens , 2012 .

[16]  Michael Nicholas,et al.  Thin Fresnel zone plate lenses for focusing underwater sound , 2015 .

[17]  Carlos Fritsch,et al.  Passive focusing techniques for piezoelectric air-coupled ultrasonic transducers. , 2016, Ultrasonics.

[18]  Bin Liang,et al.  Three-dimensional Ultrathin Planar Lenses by Acoustic Metamaterials , 2014, Scientific Reports.

[19]  O. Minin,et al.  Reference Phase in Diffractive Lens Antennas: A Review , 2011 .

[20]  N. Fang,et al.  Focusing ultrasound with an acoustic metamaterial network. , 2009, Physical review letters.

[21]  Q. Cao,et al.  Comprehensive focusing analysis of various Fresnel zone plates. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Dzelaludin Junuzovic,et al.  Application of Ultrasound in Medicine , 2011, Acta informatica medica : AIM : journal of the Society for Medical Informatics of Bosnia & Herzegovina : casopis Drustva za medicinsku informatiku BiH.