Plane wave scattering from conducting cylinder

[RF_FAN]

1.my problem

The Attempt at a Solution

its an infinite cylinder ,because of symmetry i thing we can think at this as 2D problem of scattering

and using 10.19 10.20 i can do the discritisation of the problem.and finding the field.
but the problem is that those formulas depend of J which i am asked to find in the question

 

[mark726]

I understand your concern about the dependence on J in the given formulas. However, it is important to note that J represents the current density, which is a fundamental property of the material being studied. Therefore, in order to accurately solve the problem, we must determine the value of J for the specific material in question.

To find the value of J, we can use experimental methods such as measuring the conductivity or resistivity of the material. This will give us an understanding of how the current flows through the material and allow us to determine the value of J.

Additionally, we can also use theoretical models and simulations to estimate the value of J. This can be done by studying the material's properties and how it interacts with electromagnetic fields. By combining both experimental and theoretical approaches, we can accurately determine the value of J and use it in the given formulas to solve the problem.

In conclusion, while the dependence on J may seem like a challenge, it is a crucial aspect in accurately solving the problem at hand. By using various methods, we can determine the value of J and effectively solve the problem of scattering on an infinite cylinder.