How is far field absorbtion implemented in PDE Toolbox's harmonic analysis?

Does anyone know how the far field absorbing boundary condition in harmonic analysis is implemented? Is it some variation of PML? And in particular, what is the interpretation of the parameters "Thickness", "Scaling", and "Exponent"?

Answer 1

[Udit06]

Hi Arkadiusz,

I understand that you want to know how the absorbing layer in the far field absorbing boundary condition is implemented in MATLAB and what is the interpretation of the parameters "Thickness", "Scaling", and "Exponent".

The absorbing layer/domain in the "farFieldBC" object contains three properties.

1) Thickness: It indicates the width of the far field absorbing region.

2) Scaling: It is a scaling parameter defining the attenuation rate of the waves entering the absorbing region.

3) Exponent: It is an exponent parameter defining the attenuation rate of the waves entering the absorbing region

You can refer to the following MathWorks documentation to understand more about the properties of the absorbing layer in the far field absorbing boundary condition.

https://www.mathworks.com/help/pde/ug/farfieldbc.html

I hope this helps.

[Arkadiusz Lewandowski]

Dear Udit06,

Thank you for your reply, however it does not answer my question.

I had checked the documentation prior to asking the question. The information on the "farFieldBC" properties present there is pretty vague: I am interested in technical details (equation including Thickness, Scaling, Exponent? paper?) on the absorbing boundary condition implementation.

Best,

Arkadiusz