Design of Acoustical Bessel-Like Beam Formation by a Pupil Masked Soret Zone Plate Lens

The image performance of acoustic and ultrasound sensors depends on several fundamental parameters such as depth of focus or lateral resolution. There are currently two different types of acoustic diffractive lenses: those that form a diffraction-limited spot with a shallow depth of focus (zone plates) and lenses that form an extended focus (quasi-Bessel beams). In this paper, we investigate a pupil-masked Soret zone plate, which allows the tunability of a normalized angular spectrum. It is shown that the depth of focus and the lateral resolution can be modified, without changing the lens structure, by choosing the size of the pupil mask. This effect is based on the transformation of spherically-converging waves into quasi-conical waves, due to the apodization of the central part of the zone plate. The theoretical analysis is verified with both numerical simulations and experimental measurements. A Soret zone plate immersed in water with D/2F = 2.5 and F = 4.5λ changes its depth of focus from 2.84λ to 5.9λ and the lateral resolution increases from 0.81λ to 0.64λ at a frequency of 250 kHz, by modifying the pupil mask dimensions of the Soret zone plate.

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

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

[3]  J. Greenleaf,et al.  A study of two-dimensional array transducers for limited diffraction beams , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[4]  Kenneth B. Crozier,et al.  Microfabricated water immersion zone plate optical tweezer , 2008 .

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

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

[7]  Hideyuki Nomura,et al.  Ultrasound field measurement using a binary lens , 2015, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[8]  Jin Ho Chang,et al.  Design and Fabrication of Double-Focused Ultrasound Transducers to Achieve Tight Focusing , 2016, Sensors.

[9]  Ji-Tai Li,et al.  An efficient synthesis of 3,4-dihydropyrimidin-2-ones catalyzed by NH2SO3H under ultrasound irradiation. , 2003, Ultrasonics sonochemistry.

[10]  David A. Hutchins,et al.  Field characterization of an air-coupled micromachined ultrasonic capacitance transducer , 1997 .

[11]  Minghui Hong,et al.  Shaping a Subwavelength Needle with Ultra-long Focal Length by Focusing Azimuthally Polarized Light , 2015, Scientific Reports.

[12]  K. Dholakia,et al.  Bessel beams: Diffraction in a new light , 2005 .

[13]  Sébastien Guenneau,et al.  Acoustic metamaterials for sound focusing and confinement , 2007 .

[14]  J. V. Sánchez-Pérez,et al.  Refractive acoustic devices for airborne sound. , 2001, Physical review letters.

[15]  K. Staliunas,et al.  Acoustic Bessel-like beam formation by an axisymmetric grating , 2014, 1401.6769.

[16]  Bongyoung Ahn,et al.  Realization of an ultrathin acoustic lens for subwavelength focusing in the megasonic range , 2018, Scientific Reports.

[17]  Wei Xu,et al.  A flat acoustic lens to generate a Bessel‐like beam , 2017, Ultrasonics.

[18]  Igor V. Minin,et al.  Basic Principles of Fresnel Antenna Arrays , 2008, Lecture Notes in Electrical Engineering.

[19]  P. Katchadjian,et al.  APPLICATION OF AXICON LENSES IN ULTRASONIC TECHNIQUES , 2010 .

[20]  P Pignoli,et al.  Intimal plus medial thickness of the arterial wall: a direct measurement with ultrasound imaging. , 1986, Circulation.

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

[22]  O V Minin,et al.  Control of focusing properties of diffraction elements , 1990 .

[23]  Koichi Mizutani,et al.  Generation of Bessel Beam from Equiamplitude-Driven Annular Transducer Array Consisting of a Few Elements , 1999 .

[24]  Koichi Mizutani,et al.  Acoustic Beam Scanning Using Annular Transducer Array Introducing Decentering Operation , 2006 .

[25]  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.

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

[27]  Nikolay I. Zheludev,et al.  Point spread function of the optical needle super-oscillatory lens , 2014 .

[28]  Michael Nicholas,et al.  Thin Fresnel zone plate lenses for underwater acoustics: Modeling and experiments , 2015, OCEANS 2015 - MTS/IEEE Washington.

[29]  B. A. Auld,et al.  Acoustic Fresnel zone plate transducers , 1974 .

[30]  T J Mason,et al.  Potential for the use of ultrasound in the extraction of antioxidants from Rosmarinus officinalis for the food and pharmaceutical industry. , 2004, Ultrasonics sonochemistry.

[31]  Yean-Ren Hwang,et al.  Design of Fresnel Lens-Type Multi-Trapping Acoustic Tweezers , 2016, Sensors.

[32]  Igor V. Minin,et al.  Manipulation of focal patterns in acoustic Soret type zone plate lens by using reference radius/phase effect , 2019, Ultrasonics.

[33]  Raymond Mawson,et al.  APPLICATIONS AND OPPORTUNITIES FOR ULTRASOUND ASSISTED EXTRACTION IN THE FOOD INDUSTRY-A REVIEW , 2008 .

[34]  M. Forde,et al.  Review of NDT methods in the assessment of concrete and masonry structures , 2001 .

[35]  David K. Hsu,et al.  Bessel beam ultrasonic transducer: fabrication method and experimental results , 1989 .

[36]  F V Gleeson,et al.  The safety and feasibility of extracorporeal high-intensity focused ultrasound (HIFU) for the treatment of liver and kidney tumours in a Western population , 2005, British Journal of Cancer.

[37]  M. Schmid Principles Of Optics Electromagnetic Theory Of Propagation Interference And Diffraction Of Light , 2016 .

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

[39]  Chiara Daraio,et al.  Acoustic Fresnel lenses with extraordinary transmission , 2014 .

[40]  J. L. Soret Ueber die durch Kreisgitter erzeugten Diffractionsphänomene , 1875 .

[41]  K. Kwok,et al.  Self-focused acoustic ejectors for viscous liquids. , 2010, The Review of scientific instruments.

[42]  Igor V. Minin,et al.  NEW TECHNIQUE TO SUPPRESS SIDELOBE CLUTTER IN PERIMETER SECURITY SYSTEMS , 2007 .

[43]  J. M. Fuster,et al.  Analysis of Fresnel Zone Plates Focusing Dependence on Operating Frequency , 2017, Sensors.