Head Model

$3.(30$ pts$\backslash ()\backslash )$ : Consider below $3-$layer configuration as an approximation for a head,

a$)$ Write electromagnetic fields in each layer

b$)$ Apply boundary conditions and write the system of equations

c$)$ Write a Matlab code $($or any other software$)$ and determine the unknown coefficients $($assume coefficient for incident wave is $\backslash (1\backslash$mathrm$\{$~V$\}/\backslash$mathrm$\{$m$\}\backslash )$; include your code$).$