In our analogy of waves on strings to E&M waves, we said that that a light string corresponded to a (fast, slow) EM media and a heavy string corresponded to a (fast, slow) EM media.
1. fast; slow
2. slow; fast
3. slow; slow
4. fast; fast
Note:
* Correct Answer: A
For our reflected and transmitted waves, how many unknowns have we introduced?
$$\mathbf{E}_R = \widetilde{E_R}e^{i(k_Rz-\omega_Rt)}\hat{n}_R$$
$$\mathbf{E}_T = \widetilde{E_T}e^{i(k_Tz-\omega_Tt)}\hat{n}_T$$
1. 2
2. 4
3. 8
4. 12
5. None of the above
Note:
* Correct answer: D
* It's about 12.
For our reflected and transmitted waves, how many unknowns have we introduced?
$$\mathbf{E}_R = \widetilde{E_R}e^{i(k_Iz-\omega_It)}\hat{n}_I$$
$$\mathbf{E}_T = \widetilde{E_T}e^{i(k_Tz-\omega_It)}\hat{n}_I$$
1. 2
2. 4
3. 8
4. 12
5. None of the above
Note:
* Correct answer: A
An EM wave is normally incident on a boundary between two materials ($n_1 \ll n_2$). If the incident wave starts in **material 1**,
1. most of the wave is reflected back; very little of the wave transmits through material 2
2. some of the wave is reflected back; some of the wave transmits through material 2
3. very little of the wave is reflected back; most of the wave transmits through material 2
4. ???
Note:
* Correct Answer: A
An EM wave is normally incident on a boundary between two materials ($n_1 \ll n_2$). If the incident wave starts in **material 2**,
1. most of the wave is reflected back; very little of the wave transmits through material 1
2. some of the wave is reflected back; some of the wave transmits through material 1
3. very little of the wave is reflected back; most of the wave transmits through material 1
4. ???
Note:
* Correct Answer: A
An EM wave is normally incident on a boundary between two materials ($n_1$ is close to $n_2$). If the incident wave starts in **material 1**,
1. most of the wave is reflected back; very little of the wave transmits through material 1
2. some of the wave is reflected back; some of the wave transmits through material 1
3. very little of the wave is reflected back; most of the wave transmits through material 1
4. ???
Note:
* Correct Answer: C