Question

wave optics, please explain your steps

Additional Problems: m 2 cm 1. Microwaves with wavelengths of 0.500 cm in air are created by two in phase and like polarity sources positioned as shown, and both are aimed towards a detector at point A. One wave reflects off of a "microwave mirror” while the other wave proceeds straight to the detector, as shown in the diagram. If each wave has the same amplitude E, and polarity when it reaches the receiver, what is the amplitude of the combined wave at the receiver? רינוול נור(כנר נ mirror low- 0.5cm 2. A glass (n=1.50) microscope slide is to be coated with a thin protective coating (n=1.60The slide is then lit from above. The designer would like the slide to transmit as much 400 nm wavelength light as possible through the slide, and therefore would like to minimize the amount of reflected light reflection = n=1

Answer 1

1.

The difference in optical paths travelled by the waves is the path difference between two waves. Let, L be the length travelled in water, the optical path will be, L'=NL = L'=(1.33)| 122+(2–1–0.5)?] =L'= 2.742 cm Let, L" be the length travelled in air, the optical path in air is, L" =nL"= (1)| V12 +(2-1) + V12 +2] = L'"= 2.828 cm Thus, the phase difference is, 0=24 (L"- L') = 6=27 (0.0864) = $=1.086 rad Therefor, the total phase difference due to incident and reflected ray, $=(1.086) +2 = 4.227 rad Thus, the amplitude of combined wave at the receiver end will be, E = V(E+ E, cosø) + (E, sin o)= E=1.033E, 5