Green's function and Born approximation Flashcards
What are the fundamental solutions known as ?
Green’s functions and satisfy the fundamental solution equations
p is replaced with G_0
What is Green’s function?
The solution when the source is a point at the origin
It is used to predict acoustic pressure
What can any shape of sound source be written as and what is the pressure at detector?
A sum of point sources
Sum of the contributions of all point sources
How can solutions for more complex sources be found?
By convolving the source with the Green’s function
What is the Born approximation?
To assume that all waves scattered more than once can be neglected (not always a good approximation)
assumption is used in ultrasound imaging
How is Green’s function used for homogeneous media?
by writing the wave equation with homogeneous acoustic properties with contrast source, S_s (p)
