Angel is experimenting with a diffraction grating of unknown spacing. He is looking to determine the wavelength of the light in the emission spectrum of a gas and finds that a light having a known wavelength of 623.1nm is deflected by 43.8° away from the central maximum in the second order by this grating. Light of the wavelength to be measured is deflected by 45.4° away from the central maximum in the second order. What is the wavelength of this light in nanometers? Please give your answer as a whole number.
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- A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter. Part (b) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. sin(θ2) =A He-Ne gas laser which produces monochromatic light of a known wavelength = 6.35x10^-7m is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?The index of refraction of corundum (Al2O3) is anisotropic. Suppose that visible light is passing from one grain to another of different crystallographic orientation and at normal incidence to the grain boundary. Calculate the reflectivity at the boundary if the indices of refraction for the two grains are 1.757 and 1.779 in the direction of light propagation.
- 2. = A planar dielectric waveguide with the core refractive index n₁ 1.56 and the 1.47 is used to transmit light of wavelength o 750 nm. Suppose cladding index n₂ = = the width of the waveguide is d = 1.0 μm: (a) Determine the critical angle 0c at the interface. (b) Calculate and plot the phase change on reflection o, as a function of angle of incidence in the range 0c < 02, for the case of a TE wave. = 1, (c) Calculate the value of the angle of incidence Om corresponding to mode m = and the corresponding phase change $1. (d) Determine the skin depth for the evanescent wave in medium n2, for this mode.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 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.
- A laser beam is normally incident on a diffraction grating. The wavelength of the incident light is 1 = 560 nm, and the third-order maximum of the diffraction pattern is measured to be at an angle of 32.0°. (a) What is the density of rulings for the grating (in grooves/cm)? grooves/cm (b) Determine the total number of primary maxima that can be observed in this situation. primary maxima Need Help? Read ItAn astronaut on the International Space Station (ISS) is experimenting with a solid-state green laser communications system from on-orbit at 435 km altitude to the earth's surface with a wavelength of 532nm and beam divergence (width) of 10 radians or 5.73 x 10-150 << 1°. The indices of refraction in free space and the atmosphere are no = 1.00000 ..., and na = 1.000293. Although density in the atmosphere varies continuously from the thinness of the upper atmosphere (near p → 0) to higher density at the surface, refraction can be modeled as a “surface' mid-atmosphere just like classic Snell's Law calculations. (d) What is the refracted wavelength, and the speed of the laser beam in air? (e) If the communications bit rate is the inverse of the laser frequency period [s], what is this bit rate?1. A helium-neon laser, radiating at 632.8 nm, has a power output of 3.0 mW. The beam diverges at angle 0.17 mrad as in fig 1. (a) What is the intensity of the beam 40m from the laser? (b) What is the power of a point source providing that intensity at that distance? Laser Figure 1: Helium neon laser
- An unpolarized beam of light has intensity lo. It is incident on two ideal polarizing sheets. The angle between the axes of polarization of these sheets is 0. Find 0 if the emerging light has intensity lo/4: sin ¹(1/√5) tan ¹(1/4) sin ¹(1/2) cos ¹(1/√2) cos ¹(1/2)Consider Aluminum Oxide (Al2O3) is to be deposited as an antireflection coating (ARC) on a-Si solar cell. Calculate the Reflectance for 550 nm wavelength when a 50nm thick Al2O3 layer is deposited on Si. Given: Refractive index of Air = 1. Refractive index of Al2O3 = 1.77.A layer of oil, with a refractive index of 1.40798, exactly 1 mm thick, floats on water. Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. Question 1 1 pts The index of refraction of the oil varies slightly with the vacuum wavelength of the light. Find this altered wavelength in nm: Question 2 1 pts How many wavelengths are contained in the light wave passing back and forth through the oil? (Hint: the reflected wave is shifted by X/2.) Please enter your answer as a whole number. Question 3 1 pts Does the light reflected from the two surfaces of the oil interfere constructively or destructively? Destructively O Constructively