A “sawtooth" phase grating is periodic with period L and has a distribution of phase within one period from -L/2 to L/2 given by ø(§) = Show that all the diffracted intensity ends up on one diffraction order. Which order is this?
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- Consider a rectangular waveguide with perfect conducting walls, where one corner is placed atthe origin and the other corner is placed at (x = a, y = b). Solve for TM wavesAlex's monochromator makes quasi-monochromatic light using the tungsten lamp. The liner dispersion of the monochromator is 20 À/mm and the exit slit is set to 200 µm. The monochromator is set to output light at 500 nm. a) What is the coherence time of the light from the output? b) What is the coherence length of the light from the output? c) How do these values change with wavelength? If Alex wanted to maximize the coherence time what should they change in the setup?The yellow light from a sodium vapor lamp seems to be of pure wave- length, but it produces two first-order maxima at 36.093◦ and 36.129◦ when projected on a 10,000 line per centimeter diffraction grating. What are the two wavelengths to an accuracy of 0.1 nm?
- When salt is sprinkled on a flame, yellow light consisting of two closely space wavelengths 11=588.997 nm and 12=589.594 nm are produced (they were observed by Fraunhofer in the Sun's spectrum). a) If this light falls on a diffraction grating with 300 lines/mm (pay attention to the units!), what is the angle between the 2nd order spectra of these two wavelengths? b) How many lines N of this grating must be illuminated for these lines to just be resolved?The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the angular width of the first-order visible spectrum produced by a transmission diffraction grating with 555 lines per millimeter when white light falls normally on the grating.Give your answer in degrees.The interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.
- A 2.0-mW helium-neon laser transmits a continuousbeam of red light of cross-sectional area 0.25 cm2 . If thebeam does not diverge appreciably, how would its rmselectric field vary with distance from the laser? Explain.Plz don't use chat gpt Chatgpt means downvoteA thin layer of oil (n=1.28) spills onto the surface of a nearby lake (water has n=1.33). It produces maximum reflection for orange ligh ( 580 nm wavelength). Assuming the maximum occurs in the first order, determine the thickness of the oil slick. Note that by "first order" we mean that this is the minimum amount of shifting required for reflection to occur.
- Light waves, for which the electric field is given by Ey(x,t) =Emaxin|(2x107m-1)x-wt], pass through a slit and produce the first dark bands at ‡30• from the center of the diffraction pattern. What is the frequency of this light? How wide is the slit? At which positive angle will the next dark band occur?Dear pro Hand written solution is not allowed.Red light of vacuum wavelength 650 nm is travelling in non-magnetic glass with refractiveindex nG = 1.50, then meets an interface with air at an angle of incidence of 75 degrees,and total internal reflection occurs.Calculate the tangential component of the wavevector kG in glass; state two conditionson the transmitted wavevector kA on the air side; and show that this leads to an evanescent wave with amplitude decaying exponentially away from the boundary. Calculate thedistance over which the E-field amplitude drops by a factor of 1/e.