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32 elements ALLIN array amplitude level analytic form angular spectrum approach attenuation coefficient attenuation evaluation axis back surfaces Back-surface echo backscattering boundary C-scan in Fig calculated copper canister copper plate cylindrically concave surface cylindrically curved surface deconvolution defects depth diffraction correction diffraction effect EB weld Electron Beam Welding evaluation of attenuation Ferroelec field point finite-size focused transducer Freq frequency Front-surface echo fusion zone grain noise heat-affected zone histogram IEEE Trans interface K-distribution linear array longitudinal wave LSDM medium multiple scattering non-attenuating normal velocity obtained parent material phase phase cancellation phase-sensitive phased array plane wave pulse excitation pulse-echo fields rectangular aperture rectangular transducer shown in Fig simulated solid spatial compounding spatial diversity method spatial impulse response spherical wave Stepinski sub-aperture Ultrasonic Array System ultrasonic fields ultrasonic imaging ultrasonic inspection ultrasonic interaction ultrasonic signals ultrasound wavelet filter Weld clutter x[mm