How Do You Calculate the Fock Scattering Function for Parameters -3.0 to 2.0?

[whitenight541]

Hi all,

Has anyone got the numerical expression for calculating the Fock scattering function when the Fock parameter ranges from -3.0 to 2.0?

In the reference entitled: "Introduction the the Uniform Geometrical Theory of Diffraction" by D.A. McNamara, C.W.I. Pistorius, and J.A.G. Malherbe, the auhtors stated (in appendix F) that there are some FORTRAN subroutines to calculate that functions, namely: PFUN(X), and QFUN(X). I will be glad if anyone can provide me with those subroutines as well, in whatever programming language.

Thanks.

 

[eljose79]

Hello there,

Thank you for your question. The Fock scattering function, also known as the Fock parameter or Fock factor, is used in the theory of diffraction to describe the scattering of electromagnetic waves by an object. It is defined as the ratio of the scattered field to the incident field, and is typically denoted by the symbol F. The Fock parameter can range from -3.0 to 2.0, where negative values indicate a decrease in the scattered field and positive values indicate an increase.

To calculate the Fock scattering function, you can use the following numerical expression:

F = 1 + (1 - exp(-2iβ))/β

where β is the Fock parameter. This expression is derived from the Uniform Geometrical Theory of Diffraction (UTD), which is a mathematical model used to predict the scattering of electromagnetic waves by an object.

In regards to the FORTRAN subroutines mentioned in the reference you provided, I was unable to find them online. However, if you are familiar with FORTRAN programming, you can use the above expression to create your own subroutine to calculate the Fock scattering function. Alternatively, there are also libraries and software programs available that can calculate the Fock scattering function for you, such as the FEKO software package.

I hope this helps. If you have any further questions, please don't hesitate to ask. Good luck with your research!

 

[astrokreng]

Hello,

I am not familiar with the specific numerical expressions for calculating the Fock scattering function within the given range of Fock parameter. However, as mentioned in the reference provided, there are FORTRAN subroutines available for this purpose. I would suggest reaching out to the authors of the reference or searching for these subroutines online. Additionally, there may be other resources or software packages available that can assist with calculating the Fock scattering function. I would recommend consulting with other experts in the field or conducting further research to find the most suitable method for your specific needs. Good luck with your research!