In an absorbing medium, the reflective index becomes a complex number: ๐ฬ = ๐ โฒ + ๐๐ โฒโฒ. Assume that a plane wave ๐ธโ (๐ฅ,๐ก) = ๐ธโ 0๐ โ๐(๐๐กโ๐๐ฅ) is incident on this medium. (a) Starting from the plane wave dispersion in a medium (ฯ = ๐ ๐ ๐), show that the field intensity (|๐ธ| 2 ) decreases exponentially over distance (i.e. |๐ธ| 2 โ e โ๐ผ๐ฅ). (b) Express the absorption coefficient ฮฑ in terms of other parameters.
Dear Rogue Ana, calculate the square of |E|2, it is a standard exercise in physics courses.
Look at:
https://www.reading.ac.uk/ir-substrateopticaltheory-absorptionandextinctioncoefficienttheory.aspx
https://www.brown.edu/research/labs/mittleman/sites/brown.edu.research.labs.mittleman/files/uploads/lecture08_0.pdf
Best Regards.
Looks like you are trying to get someone to do your homework for you.
Use (n'+in")k instead of k
Dear Tushar,
Greetings!
This is very easy to prove as it is a basic problem in Electromagnetics and Field and waves. More specifically, propagation of plane wave in Lossy media. You can refer to the following links
https://www.youtube.com/watch?v=xvy0HiybHaI
https://www.youtube.com/watch?v=UKfcFWeApsM
https://www.youtube.com/watch?v=jA190PnQxyU
Thank you all for your suggestion and for providing me with the materials. Pedro L. Contreras E. Anil Kamboj
To Malcolm White, I have tried my own several times but I could not succeed further with the correct answer. I only need a suggestion and advice. I don't want anyone else to solve my whole problem. I a new to this topic so it's hard for me to understand all. So, I genuinely asked.
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