Camera lenses (n=1.4) are often coated with a thin film of magnesium fluoride (n = 1.26). These non-reflective coatings use destructive interference to reduce unwanted reflections. Find the condition for destructive interference in this case, and calculate the minimum thickness required to give destructive interference for light in the middle of the visible spectrum (yellow-green light, air = 560 nm). Number Units Correct response: 111.111111 nm ± 5.0%

What is the spacing between structures in a feather that acts as a reflection grating, giving that they produce a first-order maximum for 525-nm light at a 30.0° angle?

Sophisticated cameras use a series of several lenses. Light can reflect from the surfaces of these various lenses anddegrade image clarity. To limit these reflections, lenses are coated with a thin layer of magnesium fluoride that causesdestructive thin film interference. What is the thinnest this film can be, if its index of refraction is 1.38 and it is designed tolimit the reflection of 550-nm light, normally the most intense visible wavelength? The index of refraction of glass is 1.52.

What is the smallest thickness & of an optical coating whose designed ndx of refraction is n coating = 1.38 and which is to eliminate reflected light at wave lengths around 550 nm when incident normally on glass for which nglass=-1.50 [hint= Incident ray will first go through coating layer and then the glass layer.

Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?

3. a) Calculate the reflectance of a quarter-wave anti-reflecting film of magnesium fluoride (n = 1.35) coated on an optical glass surface of index 1.52. b) Calculate the peak reflectance of a high-reflecting multilayer film consisting of N = 4 stacks of coating materials with high-low refractive index (nH = 2.8 and n, = 1.4).

White light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2(n=1.38). For what minimum thickness of the film will the reflections at the two interfacesresult in total destructive interference of yellow light of wavelength 580 nm (in air)?

A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.

A thin film of index nfilm 1.40 coats a thick glass plate of index n, = 1.50. glass The film is supposed to minimize reflection by interference from normally incident light (eincident = 0°) with wavelength 2 = 600nm. What is the minimum thickness, t, that the film can be made?

Anti-reflective coatings on camera lenses and glasses work by utilizing thin-film interference to greatly reduce reflected light. (Ever wondered why your glasses have a bluish/magenta tint when they reflect light? It's from that thin film!)We wish to coat flat glass (n=1.50) with a transparent material (n=1.25), so that reflection of light at wavelength 402.375nm is eliminated by interference. What is the minimum thickness (nm) of the coating that will work for our purposes?