Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Hα line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximumtransmission of perpendicular Hα light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.

A beam of laser light with wavelength 623 nm is directed through a slab of glass having index of refraction 1.53. (a) For what minimum incident angle would a ray of light undergo total internal reflection? (b) If a layer of water is placed over the glass, what is the minimum angle of incidence on the glass-water interface that will result in total internal reflection at the water-air interface? (The beam of light is directed upward through the slab of glass, through the layer of water, and experiences total internal reflection at the water-air interface on top.) (c) Does the thickness of the water layer or glass affect the result? O The thickness has no effect. O Yes. Greater thickness will increase the minimum angle. O Yes. Greater thickness will decrease the minimum angle. (d) Does the index of refraction of the intervening layer affect the result? O The index of refraction has no effect. O Yes. A higher index of refraction will decrease the minimum angle. O Yes. A higher index of…

A beam of white light enters the glass and forms a red and blue component. The refractive index of blue light for the glass is found to be 1.536 and for red light 1.507. The angle of incidence is measured to be 40.5. With this data calculate the angle between the red and blue components of the light.

A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.319 for the red end of the spectrum and 1.34 for the violet end and an apex angle of 69 degrees. If the ray has an angle of incidence of 55degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.

The indexes of refraction for violet light (λ = 400 nm) and red light (λ = 700 nm) in diamond are 2.46 and 2.41, respectively. A ray of light traveling through air strikes the diamond surface at an angle of 53.5° to the normal. Calculate the angular separation between these two colors of light in the refracted ray

A light wave in air strikes the surface of a piece of sapphire (n = 1.77) at an angle of 24°. The incident light has component E-field amplitudes perpendicular and parallel to the plane-of-incidence of 25V/m and 14V/m, respectively. Determine the corresponding transmitted field amplitudes. Determine the corresponding transmitted field amplitudes.

A beam splitter is an optical device that splits a beam of light - half of the incident light is transmitted through the beam splitter, and half is reflected.  Supposed we could make a beam splitter that reflects only 35% and transmits the other 65% (rather than 50/50). A beam of laser light with wavelength 656 nm is incident on our imaginary 35/65 beam splitter, at an angle of 45°. The beam pulse lasts 1.50 ms, and has a diameter of 0.60 mm. The intensity of the transmitted beam is 3.25 kW/m2.  Draw a clear physics diagram of the problem. What is the energy of a photon from this laser?  Find the peak Electric field of the reflected beam.  Find the peak Magnetic field of the incident beam.     What color is the laser beam?   What momentum is transferred to the beam splitter by the laser pulse?

A light wave is incident within glass of refractive index nG = 1.50 onto a boundary with water of refactive index nW = 1.33. Calculate the critical angle of incidence in the glass, above which total internal reflection occurs.

A transmission grating with d=1.5μm is illuminated at various angles of incidence by light of wavelength 600nm. Derive an expression for the angular deviation of the first order diffracted beam (m=1) compared to the 0th order (m=0) as a function of the angle of incidence. Plot as a function of angle of incidence (0 to 90 degrees) the angular deviation of the first order diffracted beam from the 0th order (m=0) beam.

Two beams of light start together and then hit a slab of two different kinds of material. This will cause one of the beams to get "ahead" of the other; that is, one will emerge from the slab sooner than the other. The beams have a wavelength of 570 nm outside the slabs, and the slab is d=2.3 μm thick. If the top half of the slab has index of refraction 1.79 and the bottom has index 1.39, by what time interval will one of the beams be ahead of the other once they've gone through the slab?