The equation of an electromagnetic wave is given by: a. b. C. E = Eo (sin 0 + cos 8 y)ei (k-r-wt) B = Bo(-sin 0 + cos 8ỹ)e²(k-f-wt) Find the direction of propagation of the wave. If the wavelength of light is 785 nm, what is the magnitude of the wave-vector? If the complex refractive index of the medium is ñ(2) = n₂ (2) — ik(2), then prove that the absorption coefficient of the medium is µ (2) = (²)×(1). Hint: Assume that your input wave is Ē(x, w, t) = e-ikx+wt; Further recall that I × |Ē|²

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This is a part of a review I'm studying, NOT a graded assignment, please do not reject. Thank you!

The equation of an electromagnetic wave is given by:
a.
b.
C.
E = E₁ (sin 0 x + cos 8 y)ei (k-f-wt)
B = Bo(-sin 0 + cos 0ỹ)e²(kr-wt)
Find the direction of propagation of the wave.
If the wavelength of light is 785 nm, what is the magnitude of the wave-vector?
If the complex refractive index of the medium is ñ (1) = n,(2) – ik (2), then prove that the
absorption coefficient of the medium is μ (2) = (7) K(2).
=
- Ege-ikx+wt; Further recall that I ∞ |Ē|²
Hint: Assume that your input wave is Ē (x, w, t):
Transcribed Image Text:The equation of an electromagnetic wave is given by: a. b. C. E = E₁ (sin 0 x + cos 8 y)ei (k-f-wt) B = Bo(-sin 0 + cos 0ỹ)e²(kr-wt) Find the direction of propagation of the wave. If the wavelength of light is 785 nm, what is the magnitude of the wave-vector? If the complex refractive index of the medium is ñ (1) = n,(2) – ik (2), then prove that the absorption coefficient of the medium is μ (2) = (7) K(2). = - Ege-ikx+wt; Further recall that I ∞ |Ē|² Hint: Assume that your input wave is Ē (x, w, t):
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