Incident wave of boundary between two different dielectrics

[c_l_k_t]

http://imageupload.org/getfile.php?id=171120&a=a955b8cf905480ad89ee96abfea140da&t=4f27421f&o=36BBD6199C49C981F6CC7562A37DC69B664D4F14FBA06DFCF24E9B24875233233B2BA7CB1980&n=%E6%9C%AA%E5%91%BD%E5%90%8D.png&i=1



I have just been given the question without much support so I can't even get a start of the question.
I thought the wavevector should be the given matrix but apparently it isn't.
Maybe I got problem with understanding the question; could anyone help?

 

[MisterX]

If you want help, please use the required format and provide more details about the problem.

 

[c_l_k_t]

If you want help, please use the required format and provide more details about the problem.

Sorry, I think my image link had been dead and I have fixed it now.

 

[c_l_k_t]

Sorry, I think my image link had been dead and I have fixed it now.

 

[DeeNos]

I would first clarify the question by asking for more information or context. Without understanding the specific scenario or experiment being described, it is difficult to provide a proper response. Some questions that I would ask include:

1. What is the incident wave being referred to? Is it a physical wave, such as light or sound, or is it a mathematical representation?

2. What are the two different dielectrics being mentioned? Are they materials with different dielectric constants or properties?

3. Is this a boundary between two different media, such as air and water, or is it a boundary within the same medium, such as a layered structure?

4. What is the purpose of studying this incident wave and boundary? Is it to understand the behavior of the wave or to measure some physical property?

Once these questions are answered, I would be able to provide a more informed response. In general, the behavior of an incident wave at a boundary between two different dielectrics can be described using principles of reflection, refraction, and transmission. The amount of reflection and refraction depends on the angle of incidence and the properties of the two dielectrics. The boundary conditions at the interface also play a role in determining the behavior of the wave. Overall, understanding the behavior of waves at boundaries between different materials is important in many fields of science, such as optics, acoustics, and materials science.