Programs VldFrqn.m –VldFrqnK.txt: data from KLM model –VldFrqnPzc.txt: data from VldTm.m –VldTmK.txt: data from KLM model –VldTmPzc.txt: data from PZCAD close all; Fk=load('VldTmK.txt'); Fp=load('VldTmPzc.txt'); plot(Fk(:,1),Fk(:,2)*2,'b') hold on; plot(Fp(:,1),Fp(:,2)*1e-3,'r') close all; Fk=load('VldFrqnK.txt'); Fp=load('VldFrqnPzc.txt'); subplot(2,1,1) plot(Fk(:,1),Fk(:,2)*1e-6,'b') hold on; plot(Fp(:,1),Fp(:,2),'r') subplot(2,1,2) plot(Fk(:,1),Fk(:,3),'b') hold on; plot(Fp(:,1),Fp(:,3),'r')

5Mhz PIEZOCAD INPUT PARAMETERS Program version: PiezoCAD for Windows Version 3.03 Data file: NEW - Not savedDate and time calculated: :25:13 Basic file for starting new designs - no faceplates or backplates, no electrical matching FREQUENCY AND TIME Design center frequency Fd = MHzFrequency range of calculation: to MHz Number of points in frequency domain: 250Time domain: 1024 PIEZOELECTRIC ELEMENT DESCRIPTION Element size: 6 mm diskElement area: mm^2 PARAMETER VALUE UNITS Thickness mm Parallel frequency Fp MHz Material PZT-4 plate Polarity + Longititudinal impedance MRayls Longitudinal velocity m/sec Shear velocity m/sec Density kg/m^3 Clamped capacit. Co 530.5pF Clamped dielectric const E33s Thickness coupling kt Electrical loss tangent tan de Mechanical loss tangent tan dm Vendor Morgan Matroc Data source Data sheet ACOUSTIC LAYERS No Faceplates No Backplates ACOUSTIC LOAD IMPEDANCES: Rear: MRaylsFront: MRayls ELECTRICAL TERMINATIONS: Transmitter output = 50.0 OhmsReceiver input = 50.0 Ohms ELECTRICAL MATCHING NETWORK: No electrical matching network

PZT5MHz Transmit impulse response, Klm*2 Receive impulse response, Klm*3 Transmit Impedance Receive Impedance

PZT5MHz Echo impulse response, Klm*2 Transmit exct (1 bust) response, Klm*2, 1 point delay Echo exct (1 bust) response, Klm*2, 1 point delay

PZT5MHz 2B2M PIEZOCAD INPUT PARAMETERS Program version: PiezoCAD for Windows Version 3.03 Data file: NEW - Not savedDate and time calculated: :15:55 Basic file for starting new designs - no faceplates or backplates, no electrical matching FREQUENCY AND TIME Design center frequency Fd = MHzFrequency range of calculation: to MHz Number of points in frequency domain: 250Time domain: 1024 PIEZOELECTRIC ELEMENT DESCRIPTION Element size: 6 mm diskElement area: mm^2 PARAMETER VALUE UNITS Thickness mm Parallel frequency Fp MHz Material PZT-4 plate Polarity + Longititudinal impedance MRayls Longitudinal velocity m/sec Shear velocity m/sec Density kg/m^3 Clamped capacit. Co 530.5pF Clamped dielectric const E33s Thickness coupling kt Electrical loss tangent tan de Mechanical loss tangent tan dm Vendor Morgan Matroc Data source Data sheet ACOUSTIC LAYERS FACEMATLSHEARLONG.LONGLOSSLOSSLOSS REL.THICKTHICK PLATENAMEVEL.VEL.IMPED.ALPHAAT F N AREALambdas No.m/secm/secMRaylsdB/cmMHz At Fd mm 1M Blank BACKPLATES 1back back ACOUSTIC LOAD IMPEDANCES: Rear: MRaylsFront: MRayls ELECTRICAL TERMINATIONS: Transmitter output = 50.0 OhmsReceiver input = 50.0 Ohms ELECTRICAL MATCHING NETWORK: No electrical matching network

PZT5MHz 2B2M Transmit Impedance Receive Impedance Transmit Impulse response KLM*2 Receive Impulse response KLM*3.5

PZT5MHz 2B2M Pulse-echo Impulse response KLM*2 Transmit 1burst excitation response echo 1burst excitation response

PZT5MHz 2B2M+cable, ZT Ideal 50ohm, 5m 50ohm, 5m, 100db/Mhz/Km Shnt C:15p, SL 1u, Sr: 50 Cable:I50ohm, 5m,100db/Mhz/Km Shnt C:15p, SL 1u, Sr: 50 Cable:I50ohm, 5m,100db/Mhz/Km SC:1u, ShntL: 2u, ShntR 150

PZT5MHz 2B2M+PE cable, DE Transmit impulse, klm*2 Pulse-echo impulse response receive impulse, klm*4 Transmit excitation klm*2

PZT5MHz 2B2M+PE cable, DE PulseEcho excitation klm*2