4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2. a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by determining the frequency and the polarization along the x-, y, and z-axis. Find a direction along which the radiation is circularly polarized. b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0. c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of the magnetic force and its dependence on 0. d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying which new frequencies are observed, in which direction and with which polarization, and the modification of the scattered power.
4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2. a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by determining the frequency and the polarization along the x-, y, and z-axis. Find a direction along which the radiation is circularly polarized. b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0. c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of the magnetic force and its dependence on 0. d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying which new frequencies are observed, in which direction and with which polarization, and the modification of the scattered power.
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![4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The
E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2.
a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by
determining the frequency and the polarization along the x-, y, and z-axis. Find a direction
along which the radiation is circularly polarized.
b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0.
c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of
the magnetic force and its dependence on 0.
d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying
which new frequencies are observed, in which direction and with which polarization, and the
modification of the scattered power.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ca7d432-9ece-4311-ae3c-cf1dd3c84e24%2Fe1d7b92f-5ab4-4662-8f65-6cac41ab75f9%2F79ghul_processed.png&w=3840&q=75)
Transcribed Image Text:4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The
E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2.
a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by
determining the frequency and the polarization along the x-, y, and z-axis. Find a direction
along which the radiation is circularly polarized.
b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0.
c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of
the magnetic force and its dependence on 0.
d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying
which new frequencies are observed, in which direction and with which polarization, and the
modification of the scattered power.
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