A transparency as shown is located in the x,y plane at z=0. If the transparency is illuminated with a monochromatic plane wave with its k vector along z, explain what will happen for z>0. y
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- Question A4 The mineral schreibersite is often found in iron-nickel meteorites. One sample was found to have a body-centred tetragonal structure with a = 9.0168 Å and c = 4.4491 Å. Calculate the scattering angle and the multiplicity for the first (lowest 0) diffraction peak, using Cu Ka radiation of wavelength X = 1.5406 Å.Consider the geometry shown in the figure. The upper right quadrant is filled with a medium with a refractive index V3 and the rest of space is vacuum. A plane wave is n2 = incident on the xy plane from the left with an incident angle "1 = of 60 degrees. Its electric field is linearly polarized along the y direction. Find the power reflection and transmission coeffi- cients at the ryY plane and at the yz plane, respectively. What if the electric field is polarized in the xz plane? n2 = V3 y O11. A riverside warehouse has two open doors, as in Figure P24.11. Its interior is lined with a sound-absorbing material. A boat on the river sounds its horn. To per- son A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 3.00 m. Assuming person B is at the position of the first minimum, determine the dis- tance between the doors, center to center. В - Open door 20.0 m d Open door 150 m- Figure P24.11
- PLEASE ANSWER ASAP: A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.Which of the following statements are (or could be) true? Choose all that apply. O A glass at a temperature of 43 K will emit EM waves. O The index of refraction of a newly discovered transparent material is 1.6. In a vacuum, radio waves move the same speed as microwaves. O Total internal reflection will occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 44° and the reflected angle was 60°. O If do = 0, then d; = f.Calculate the angle of refraction at the air/core interface, r . critical angle, c and incident angle at the core/cladding interface, i . Will this light ray propagate down the fiber? You have the following data: nair = 1, ncore = 1.46, ncladding =1.43, incident =12o Answers: r = 8.2o , c = 78.4o , i = 81.8o light will propagate Formula summery Index of Refraction n= n sin 01= n, sin 0, o = sin1(2) Snell's Law Critical Angle Acceptance angle a= sin1 Numerical Aperture NA = sin a = ni- nị
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