Multi-Gaussian beam matrix for ultrasonic transducer modelling

[chiraganand]

Hi,

I was looking at derivation of a multi gaussian beam to represent the ultrasonic beam from a transducer through a fluid. In the derivation a complex valued symmetrical 2x2 matrix is used whose imaginary part of eigen values is more than zero. Can someone please tell me what are the components of this matrix or an example of this matrix?

thanks

 

[Andy Resnick]

Not sure what you mean- the ABCD matrix? Can you provide a reference for your derivation?

 

[chiraganand]

yep ABCD matrix..Multi-Gaussian Ultrasonic Beam Modeling for Multiple Curved Interfaces—an ABCD Matrix Approach by
Huang, Ruiju, Schmerr, Lester W,Sedov, Alexander