For a wave on a 1d string that hits a boundary between 2 strings of different material we get,
˜f(z<0)=˜AIei(k1)z−ωt+˜ARei(−k1z−ωt) ˜f(z>0)=˜ATei(k2)z−ωt
where continuity (BCs) give,
˜AR=(k1−k2k1+k2)˜AI ˜AT=(2k1k1+k2)˜AI
Is the transmitted wave in phase with the incident wave?
A) Yes, always B) No, never C) Depends
For a wave on a 1d string that hits a boundary between 2 strings of different material we get,
˜f(z<0)=˜AIei(k1)z−ωt+˜ARei(−k1z−ωt) ˜f(z>0)=˜ATei(k2)z−ωt
where continuity (BCs) give,
˜AR=(k1−k2k1+k2)˜AI ˜AT=(2k1k1+k2)˜AI
Is the reflected wave in phase with the incident wave?
A) Yes, always B) No, never C) Depends
An electromagnetic plane wave propagates to the right. Four vertical antennas are labeled 1-4. 1, 2, and 3 lie in the x−y plane. 1, 2, and 4 have the same x-coordinate, but antenna 4 is located further out in the z-direction. Rank the time-averaged signals received by each antenna.
A point source of radiation emits power P0 isotropically (uniformly in all directions). A detector of area ad is located a distance R away from the source. What is the power Pd received by the detector?