Ultrasonic Testing-Formula

Near Field




Beam Spread
Half Angle


Decibel (dB)
Gain or Loss

Where:
N=Near Field
D=Transducer Diameter
λ=Wavelength
V=Velocity
Where:
λ=Wavelength
D=Transducer Diameter
V=Velocity
F=Frequency
Where:
dB=Decibel
A1=Amplitude 1
A2=Amplitude 2




Longitudinal Wave Velocity



Shear Wave Velocity


Wavelength


Where:
VL=Longitudinal Wave Velocity
E=Modulus of Elasticity
ρ=Density
μ=Poisson’s Ratio
Where:
Vs=Shear Wave Velocity
E=Modulus of Elasticity
ρ=Density
μ=Poisson’s Ratio
G=Shear Modulus
Where:
λ=Wavelength
V=Velocity
F=Frequency







Refraction
(Snellʼs Law)




  

Acoustic Impedance




Reflection Coefficient



Where:
θΙ=Angle of the Incident Wave
θR=Angle of the Reflect-ed Wave
V1=Velocity of Incident Wave
V2=Velocity of Reflected Wave
Where:
Z=Acoustic Impedance
ρ=Density
V=Velocity
Where:
R=Reflection Coefficient
Z1=Acoustic Impedance of Medium1
Z2=Acoustic Impedance of 
Medium 2