[1] [1] THOMAS L A. Applications of ferroelectrics and related materials: a review of developments in Europe［J］. Ferroelectrics, 1972, 3(1): 231-238.

[2] [2] JIN L, LI F, ZHANG S J. Decoding the fingerprint of ferroelectric loops: comprehension of the material properties and structures［J］. Journal of the American Ceramic Society, 2014, 97(1): 1-27.

[3] [3] LI F, ZHANG S J, YANG T N, et al. The origin of ultrahigh piezoelectricity in relaxor-ferroelectric solid solution crystals［J］. Nature Communications, 2016, 7: 13807.

[4] [4] CROSS L E. Relaxor ferroelectrics［J］. Ferroelectrics, 1987, 76(1): 241-267.

[5] [5] BANKS R, O’LEARY R L, HAYWARD G. Enhancing the bandwidth of piezoelectric composite transducers for air-coupled non-destructive evaluation［J］. Ultrasonics, 2017, 75: 132-144.

[6] [6] YAMASHITA Y, HARADA K, SAITOH S. Recent applications of relaxor materials［J］. Ferroelectrics, 1998, 219(1): 29-36.

[8] [8] BOVTUN V, VELJKO S, KAMBA S, et al. Broad-band dielectric response of PbMg1/3Nb2/3O3 relaxor ferroelectrics: single crystals, ceramics and thin films［J］. Journal of the European Ceramic Society, 2006, 26(14): 2867-2875.

[10] [10] SUN E W, CAO W W. Relaxor-based ferroelectric single crystals: growth, domain engineering, characterization and applications［J］. Progress in Materials Science, 2014, 65: 124-210.

[11] [11] ZHANG S J, LI F, JIANG X N, et al. Advantages and challenges of relaxor-PbTiO3 ferroelectric crystals for electroacoustic transducers-a review［J］. Progress in Materials Science, 2015, 68: 1-66.

[12] [12] LEE S G, MONTEIRO R G, FEIGELSON R S, et al. Growth and electrostrictive properties of Pb(Mg1/3Nb2/3)O3 crystals［J］. Applied Physics Letters, 1999, 74(7): 1030-1032.

[13] [13] SHROUT T R, CHANG Z P, KIM N, et al. Dielectric behavior of single crystals near the (1-x) Pb(Mg1/3Nb2/3)O3-x PbTiO3 morphotropic phase boundary［J］. Ferroelectrics Letters Section, 1990, 12(3): 63-69.

[14] [14] JABLONSKAS D, GRIGALAITIS R, BANYS J, et al. Broadband dielectric spectra in PbMg1/3Nb2/3O3 crystals with chemical order modified by La doping［J］. Applied Physics Letters, 2015, 107(14): 142905.

[15] [15] ISHIBASHI Y, IWATA M. Morphotropic phase boundary in solid solution systems of perovskite-type oxide ferroelectrics［J］. Japanese Journal of Applied Physics, 1998, 37(Part 2, No. 8B): L985-L987.

[16] [16] YE Z G, DONG M. Morphotropic domain structures and phase transitions in relaxor-based piezo-/ferroelectric (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 single crystals［J］. Journal of Applied Physics, 2000, 87(5): 2312-2319.

[17] [17] XU G S, LUO H S, XU H Q, et al. Third ferroelectric phase in PMNT single crystals near the morphotropic phase boundary composition［J］. Physical Review B, 2001, 64(2): 020102.

[18] [18] VANDERBILT D, COHEN M H. Monoclinic and triclinic phases in higher-order Devonshire theory［J］. Physical Review B, 2001, 63(9): 094108.

[19] [19] KIAT J M, UESU Y, DKHIL B, et al. Monoclinic structure of unpoled morphotropic high piezoelectric PMN-PT and PZN-PT compounds［J］. Physical Review B, 2002, 65(6): 064106.

[20] [20] ZHOU D, CHEN J, LUO H S. Piezoelectric single crystals of Pb(Mg1/3Nb2/3)O3-PbTiO3 and their applications in medical ultrasonic transducers［C］//2008 International Conference on BioMedical Engineering and Informatics. May 27-30, 2008, Sanya, China. IEEE, 2008: 662-666.

[21] [21] ZHOU D, CHEN J, LUO L H, et al. Optimized orientation of 0.71Pb(Mg1/3Nb2/3)O3-0.29PbTiO3 single crystal for applications in medical ultrasonic arrays［J］. Applied Physics Letters, 2008, 93(7): 073502.

[22] [22] WANG W, WANG S, ZHANG Y Y, et al. Beam-mode piezoelectric properties of Ternary Pb(In1/2Nb1/2)O3-Pb(Mg1/3Nb2/3) O3-PbTiO3 single crystalsfor medical linear array applications［J］. Journal of Electronic Materials, 2011, 40(11): 2228-2233.

[23] [23] WONG C M, CHEN Y, LUO H S, et al. Development of a 20-MHz wide-bandwidth PMN-PT single crystal phased-array ultrasound transducer［J］. Ultrasonics, 2017, 73: 181-186.

[24] [24] COHEN R E. Origin of ferroelectricity in perovskite oxides［J］. Nature, 1992, 358(6382): 136-138.

[25] [25] PARK S E, WADA S, CROSS L E, et al. Crystallographically engineered BaTiO3 single crystals for high-performance piezoelectrics［J］. Journal of Applied Physics, 1999, 86(5): 2746-2750.

[26] [26] WADA S, SUZUKI S, NOMA T, et al. Enhanced piezoelectric property of Barium titanate single crystals with engineered domain configurations［J］. Japanese Journal of Applied Physics, 1999, 38(Part 1, No. 9B): 5505-5511.

[27] [27] FU H X, COHEN R E. Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics［J］. Nature, 2000, 403(6767): 281-283.

[28] [28] LI X B, ZHAO X Y, REN B, et al. Microstructure and dielectric relaxation of dipolar defects in Mn-doped (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 single crystals［J］. Scripta Materialia, 2013, 69(5): 377-380.

[29] [29] GEHRING P M, PARSHALL D, HARRIGER L, et al. Correspondence: phantom phonon localization in relaxors［J］. Nature Communications, 2017, 8(1): 1-2.

[30] [30] SHVARTSMAN V V, DKHIL B, KHOLKIN A L. Mesoscale domains and nature of the relaxor state by piezoresponse force microscopy［J］. Annual Review of Materials Research, 2013, 43(1): 423-449.

[31] [31] SMOLENSKII G A. On the mechanism of polarization in solid solutions of PNN-PMN［J］. J Tech Phys USSR, 1958, 28(7): no.

[32] [32] SMOLENSKII G A, KRAINIK N N, POPOV S N. Some phenomena in crystals lacking an inversion center［J］. Sov Sci Rev Phys A, 1985, 6: 261.

[33] [33] BONNER W A, VAN UITERT L G. Growth of single crystals of Pb3MgNb2O9 by the Kyropoulos technique［J］. Materials Research Bulletin, 1967, 2(1): 131-134.

[34] [34] KUWATA J, UCHINO K, NOMURA S. Dielectric and piezoelectric properties of 0.91Pb(Zn1/3Nb2/3)O3-0.09PbTiO3 single crystals［J］. Japanese Journal of Applied Physics, 1982, 21(Part 1, No. 9): 1298-1302.

[35] [35] KUWATA J, UCHINO K, NOMURA S. Phase transitions in the Pb (Zn1/3Nb2/3)O3-PbTiO3 system［J］. Ferroelectrics, 1981, 37(1): 579-582.

[36] [36] PARK S E, SHROUT T R. Characteristics of relaxor-based piezoelectric single crystals for ultrasonic transducers［J］. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1997, 44(5): 1140-1147.

[37] [37] LUO H S, XU G S, WANG P C, et al. Growth and characterization of relaxor ferroelectric PMNT single crystals［J］. Ferroelectrics, 1999, 231(1): 97-102.

[38] [38] LUO H S, XU G S, XU H Q, et al. Compositional homogeneity and electrical properties of lead magnesium niobate titanate single crystals grown by a modified bridgman technique［J］. Japanese Journal of Applied Physics, 2000, 39(Part 1, No. 9B): 5581-5585.

[39] [39] SERVICE R F. Materials science: shape-changing crystals get shiftier［J］. Science, 1997, 275(5308): 1878-.

[43] [43] LI F, LIN D B, CHEN Z B, et al. Ultrahigh piezoelectricity in ferroelectric ceramics by design［J］. Nature Materials, 2018, 17(4): 349-354.

[44] [44] LI F, CABRAL M J, XU B, et al. Giant piezoelectricity of Sm-doped Pb(Mg1/3Nb2/3)O3-PbTiO3 single crystals［J］. Science, 2019, 364(6437): 264-268.

[45] [45] XU J L, DENG H, ZENG Z, et al. Piezoelectric performance enhancement of Pb(Mg1/3Nb2/3)O3-0.25PbTiO3 crystals by alternating current polarization for ultrasonic transducer［J］. Applied Physics Letters, 2018, 112(18): 182901.

[46] [46] BOSAK A, CHERNYSHOV D, VAKHRUSHEV S, et al. Diffuse scattering in relaxor ferroelectrics: true three-dimensional mapping, experimental artefacts and modelling［J］. Acta Crystallographica Section A Foundations of Crystallography, 2012, 68(1): 117-123.

[47] [47] XU G Y, SHIRANE G, COPLEY J R D, et al. Neutron elastic diffuse scattering study of Pb(Mg1/3Nb2/3)O3［J］. Physical Review B, 2004, 69(6): 064112.

[48] [48] GEHRING P M. Neutron diffuse scattering in lead-based relaxor ferroelectrics and its relationship to the ultra-high piezoelectricity［J］. Journal of Advanced Dielectrics, 2012, 2(2): 1241005.

[49] [49] PASCIAK M, WELBERRY T R, KULDA J, et al. Polar nanoregions and diffuse scattering in the relaxor ferroelectric PbMg1/3Nb2/3O3［J］. Physical Review B, 2012, 85(22): 224109.

[50] [50] GEHRING P M, HIRAKA H, STOCK C, et al. Reassessment of the Burns temperature and its relationship to the diffuse scattering, lattice dynamics, and thermal expansion in relaxor Pb(Mg1/3Nb2/3)O3［J］. Physical Review B, 2009, 79(22): 224109.

[51] [51] YOU H, ZHANG Q M. Diffuse X-ray scattering study of lead magnesium niobate single crystals［J］. Physical Review Letters, 1997, 79(20): 3950-3953.

[52] [52] GUO Y P, LUO H S, CHEN K P, et al. Effect of composition and poling field on the properties and ferroelectric phase-stability of Pb(Mg1/3Nb2/3)O3-PbTiO3 crystals［J］. Journal of Applied Physics, 2002, 92(10): 6134-6138.

[55] [55] ZHOU D, WANG F F, LUO L H, et al. Characterization of complete electromechanical constants of rhombohedral 0.72Pb(Mg1/3Nb2/3)-0.28 PbTiO3single crystals［J］. Journal of Physics D: Applied Physics, 2008, 41(18): 185402.

[56] [56] WANG W, LIU D A, ZHANG Q H, et al. Shear-mode piezoelectric properties of ternary Pb(In1/2Nb1/2)O3-Pb(Mg1/3Nb2/3)O3-PbTiO3 single crystals［J］. Journal of Applied Physics, 2010, 107(8): 084101.

[57] [57] WANG W, ZHANG Y Y, ZHAO X Y, et al. High Curie temperature piezoelectric single crystals Pb(In1/2Nb1/2)O3-Pb(Mg1/3Nb2/3)O3-PbTiO3 and their applications in medical ultrasonic transducers［C］//Proceedings of the 2010 Symposium on Piezoelectricity, Acoustic Waves and Device Applications. December 10-13, 2010, Xiamen, China. IEEE, 2010: 191-195.

[58] [58] YUE Q W, DENG J, SHE J X, et al. High performanced single crystal/epoxy composites and their application in broadband transducers［C］//2015 IEEE International Ultrasonics Symposium (IUS). October 21-24, 2015, Taipei, Taiwan, China. IEEE, 2015: 1-4.

[59] [59] ZHOU D, LUO H S. Vibration mode and relevant ultrasonic applications of ferroelectric single crystals Pb(Mg1/3Nb2/3)O3-PbTiO3 (PMN-PT)［C］//2008 IEEE Ultrasonics Symposium. November 2-5, 2008, Beijing, China. IEEE, 2008: 168-170.

[60] [60] YUE Q, LIU D, WANG W, et al. Fabrication of a PMN-PT single crystal-based transcranial Doppler transducer and the power regulation of its detection system［J］. Sensors (Basel), 2014, 14(12): 24462-24471.

[61] [61] WANG W, ZHAO X Y, OR S W, et al. Broadband ultrasonic linear array using ternary PIN-PMN-PT single crystal［J］. Review of Scientific Instruments, 2012, 83(9): 095001.

[62] [62] WANG W, OR S W, YUE Q W, et al. Cylindrically shaped ultrasonic linear array fabricated using PIMNT/epoxy 1-3 piezoelectric composite［J］. Sensors and Actuators A: Physical, 2013, 192: 69-75.

[63] [63] ZHANG Z, XU J L, YANG L L, et al. Design and comparison of PMN-PT single crystals and PZT ceramics based medical phased array ultrasonic transducer［J］. Sensors and Actuators A: Physical, 2018, 283: 273-281.

[64] [64] ZHANG Z, XU J L, XIAO J J, et al. Simulation and analysis of the PMN-PT based phased array transducer with the high sound velocity matching layer［J］. Sensors and Actuators A: Physical, 2020, 313: 112195.

[65] [65] ZHANG Z, XU J L, YANG L L, et al. The performance enhancement and temperature dependence of piezoelectric properties for Pb(Mg1/3Nb2/3)O3-0.30PbTiO3 single crystal by alternating current polarization［J］. Journal of Applied Physics, 2019, 125(3): 034104.

[66] [66] XU J L, ZHANG Z, LIU S X, et al. Optimizing the piezoelectric vibration of Pb(Mg1/3Nb2/3)O3-0.25PbTiO3 single crystal by alternating current polarization for ultrasonic transducer［J］. Applied Physics Letters, 2020, 116(20): 202903.

[67] [67] ZHANG Z, XU J L, LIU S X, et al. FEM simulation and comparison of PMN-PT single crystals based phased array ultrasonic transducer by alternating current poling and direct current poling［J］. Ultrasonics, 2020, 108: 106175.

[68] [68] SONG H C, CHO S, KANG T, et al. Long-range acoustic communication in deep water using a towed array［J］. The Journal of the Acoustical Society of America, 2011, 129(3): EL71-EL75.

[72] [72] SAMMOURA F, SHELTON S, AKHBARI S, et al. A two-port piezoelectric micromachined ultrasonic transducer［C］//2014 15th International Conference on Electronic Packaging Technology. August 12-15, 2014. Chengdu, China. IEEE, 2014.

[73] [73] MEYER R J, MONTGOMERY T C, HUGHES W J. Tonpilz transducers designed using single crystal piezoelectrics［C］//OCEANS '02 MTS/IEEE. October 29-31, 2002, Biloxi, MI, USA. IEEE, 2002: 2328-2333.

[74] [74] LAU S T, LAM K H, CHAN H L W, et al. Ferroelectric lead magnesium niobate-lead titanate single crystals for ultrasonic hydrophone applications［J］. Materials Science and Engineering: B, 2004, 111(1): 25-30.

[75] [75] SHERLOCK N P, MEYER R J. Modified single crystals for high-power underwater projectors［J］. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2012, 59(6): 1285-1291.

[76] [76] ZHANG Y Y, ZHAO X Y, WANG W, et al. Fabrication of PIMNT/epoxy 1-3 composites and ultrasonic transducer for nondestructive evaluation［J］. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2011, 58(9): 1774-1781.

[77] [77] YUE Q W, LIU D X, DENG J, et al. Design and fabrication of relaxor-ferroelectric single crystal PIN-PMN-PT/epoxy 2-2 composite based array transducer［J］. Sensors and Actuators A: Physical, 2015, 234: 34-42.

[79] [79] BROWN J A, DUNPHY K, LEADBETTER J R, et al. Fabrication and performance of a single-crystal lead magnesium niobate-lead titanate cylindrical hydrophone［J］. The Journal of the Acoustical Society of America, 2013, 134(2): 1031-1038.

[80] [80] TANG Y X, LUO H S. Investigation of the electrical properties of (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3single crystals with special reference to pyroelectric detection［J］. Journal of Physics D: Applied Physics, 2009, 42(7): 075406.

[81] [81] TANG Y X, ZHAO X Y, WAN X M, et al. Composition, dc bias and temperature dependence of pyroelectric properties of 〈111〉-oriented (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 crystals［J］. Materials Science and Engineering: B, 2005, 119(1): 71-74.

[82] [82] TANG Y X, LUO L H, JIA Y M, et al. Mn-doped 0.71Pb(Mg1/3Nb2/3)O3-0.29 PbTiO3 pyroelectric crystals for uncooled infrared focal plane arrays applications［J］. Applied Physics Letters, 2006, 89(16): 162906.

[83] [83] LIU L H, LI X B, WU X, et al. Dielectric, ferroelectric, and pyroelectric characterization of Mn-doped 0.74Pb(Mg1/3Nb2/3)O3-0.26PbTiO3 crystals for infrared detection applications［J］. Applied Physics Letters, 2009, 95(19): 192903.

[84] [84] YU P, WANG F F, ZHOU D, et al. Growth and pyroelectric properties of high Curie temperature relaxor-based ferroelectric Pb(In12Nb12)O3-Pb(Mg13Nb23)O3-PbTiO3 ternary single crystal［J］. Applied Physics Letters, 2008, 92(25): 252907.

[85] [85] LIU L H, WU X, WANG S, et al. Growth and pyroelectric properties of rhombohedral 0.21Pb(In1/2Nb1/2)O3-0.49Pb(Mg1/3Nb2/3)O3-0.3PbTiO3 ternary single crystals［J］. Journal of Crystal Growth, 2011, 318(1): 856-859.

[86] [86] YANG L R, LI L, ZHAO X Y, et al. Enhanced pyroelectric properties and application of tetragonal Mn-doped 0.29Pb(In1/2Nb1/2)O3-0.31Pb(Mg1/3Nb2/3)O3-0.40PbTiO3 ternary single crystals［J］. Journal of Alloys and Compounds, 2017, 695: 760-764.

[87] [87] TANG Y X, WAN X M, ZHAO X Y, et al. Large pyroelectric response in relaxor-based ferroelectric (1-x)Pb(Mg13Nb23)O3-xPbTiO3 single crystals［J］. Journal of Applied Physics, 2005, 98(8): 084104.

[88] [88] TANG Y X, ZHAO X Y, FENG X Q, et al. Pyroelectric properties of ［111］-oriented Pb(Mg13Nb23)O3-PbTiO3 crystals［J］. Applied Physics Letters, 2005, 86(8): 082901.

[89] [89] XU Q, ZHAO X Y, LI X B, et al. 3D-Printing of inverted pyramid suspending architecture for pyroelectric infrared detectors with inhibited microphonic effect［J］. Infrared Physics & Technology, 2016, 76: 111-115.

[90] [90] WAN X M, LUO H S, WANG J, et al. Investigation on optical transmission spectra of (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 single crystals［J］. Solid State Communications, 2004, 129(6): 401-405.

[91] [91] WAN X M, CHAN H L W, CHOY C L, et al. Optical properties of (1-x)Pb(Mg13Nb23)O3-xPbTiO3 single crystals studied by spectroscopic ellipsometry［J］. Journal of Applied Physics, 2004, 96(3): 1387-1391.

[92] [92] WAN X M, LUO H S, ZHAO X Y, et al. Refractive indices and linear electro-optic properties of (1-x)Pb(Mg13Nb23)O3-xPbTiO3 single crystals［J］. Applied Physics Letters, 2004, 85(22): 5233-5235.

[93] [93] JIANG H, ZOU Y K, CHEN Q, et al. Transparent electro-optic ceramics and devices［C］//Photonics Asia. Proc SPIE 5644, Optoelectronic Devices and Integration, Beijing, China. 2005, 5644: 380-394.

[95] [95] WU J, KONG Y F, ZHANG L, et al. Progress on electro-optic crystals for Q-switches［J］. Scientia Sinica Technologica, 2017, 47(11): 1139-1148.

[96] [96] LIU K, YE C R, KHAN S, et al. Review and perspective on ultrafast wavelength-size electro-optic modulators［J］. Laser & Photonics Reviews, 2015, 9(2): 172-194.

[97] [97] AILLERIE M, THOFANOUS N, FONTANA M D. Measurement of the electro-optic coefficients: description and comparison of the experimental techniques［J］. Applied Physics B, 2000, 70(3): 317-334.

[100] [100] WANG Y J, LI J F, VIEHLAND D. Magnetoelectrics for magnetic sensor applications: status, challenges and perspectives［J］. Materials Today, 2014, 17(6): 269-275.

[101] [101] CHU Z Q, SHI H D, SHI W L, et al. Enhanced resonance magnetoelectric coupling in (1-1) connectivity composites［J］. Advanced Materials, 2017, 29(19): 1606022.

[102] [102] SHEN Y, HASANYAN D, GAO J Q, et al. A magnetic signature study using magnetoelectric laminate sensors［J］. Smart Materials and Structures, 2013, 22(9): 095007.

[103] [103] SHI J X, WU M, HU W L, et al. A study of high piezomagnetic (Fe-Ga/Fe-Ni) multilayers for magnetoelectric device［J］. Journal of Alloys and Compounds, 2019, 806: 1465-1468.

[104] [104] RYU J, PRIYA S, UCHINO K, et al. Magnetoelectric effect in composites of magnetostrictive and piezoelectric materials［J］. Journal of Electroceramics, 2002, 8(2): 107-119.

[105] [105] RYU J, PRIYA S, UCHINO K, et al. High magnetoelectric properties in 0.68Pb(Mg1/3Nb2/3)O3-0.32PbTiO3Single crystal and terfenol-D laminate composites［J］. Journal of the Korean Ceramic Society, 2002, 39(9): 813-817.

[106] [106] WANG Y J, GRAY D, BERRY D, et al. An extremely low equivalent magnetic noise magnetoelectric sensor［J］. Advanced Materials, 2011, 23(35): 4111-4114.

[107] [107] CHEN R, CHEN Z Y, HU F, et al. Reducing the equivalent magnetic noise of Metglas/Mn-PMNT laminate composites via annealing treatment［J］. Journal of Magnetism and Magnetic Materials, 2020, 512: 166976.

[108] [108] FANG C, MA J S, YAO M, et al. Equivalent magnetic noise reduction at high frequency range due to polarized direction optimization in Terfenol-D/Pb(Mg1/3Nb2/3)O3-PbTiO3 magnetoelectric laminate sensors［J］. Journal of Magnetism and Magnetic Materials, 2017, 423: 106-110.

[109] [109] JIAO J, WANG W, LI L Y, et al. An improved magnetic field detection unit based on length-magnetized Terfenol-D and width-polarized ternary 0.35Pb(In1/2Nb1/2)O3-0.35Pb(Mg1/3Nb2/3)O3-0.30PbTiO3［J］. Applied Physics Letters, 2012, 101(23): 232906.

[110] [110] LIU Y T, JIAO J, LI L Y, et al. Vibrational noise rejection in multilayer structured magnetoelectric sensor［J］. Sensors and Actuators A: Physical, 2014, 211: 15-18.

[111] [111] FANG C, JIAO J, MA J S, et al. Significant reduction of equivalent magnetic noise by in-plane series connection in magnetoelectric Metglas/Mn-doped Pb(Mg1/3Nb2/3)O3-PbTiO3laminate composites［J］. Journal of Physics D: Applied Physics, 2015, 48(46): 465002.

[112] [112] JIAO J, LI L Y, REN B, et al. Parallel multilayer magnetoelectric composite based on (1-x)Pb(Mg1/3Nb2/3)-xPbTiO3 and Terfenol-D coupled with charge mode amplifier［J］. Journal of Applied Physics, 2012, 111(4): 043909.