You've found an unlabeled diffraction grating. Before you can use it, you need to know how many lines per it has. To find out, you illuminate the grating with light of several different wavelengths and then measure the distance between the two first-order bright fringes on a viewing screen behind the grating. Your data are as follows:
Use the best-fit line of an appropriate graph to determine the number of lines per .
The grating light at multiple wavelength is
A light beam is created by scratching a flat piece of transparent material with multiple parallel scratches. The material may be scratched with a great number of scratches per centimetre.
Grating equation as
We cannot ignore since it will be unity because we are provided the distance between the two initial fringes. We may also compute the angles of each wavelength and scatter the wavelength and the sine of the angle in a plot for each of these wavelengths. The graphic below, created in Excel, shows what we would end up with.
The Table and graph as follows,
The combination of the sine of the angles over the wavelength is what we're searching for, as previously stated. This is only the slope of the scattered plots' line. We can see that this slope is or .
Optical computers require microscopic optical switches to turn signals on and off. One device for doing so, which can be implemented in an integrated circuit, is the Mach-Zender interferometer seen in FIGURE. Light from an on-chip infrared laser is split into two waves that travel equal distances around the arms of the interferometer. One arm passes through an electro-optic crystal, a transparent material that can change its index of refraction in response to an applied voltage. Suppose both arms are exactly the same length and the crystal’s index of refraction with no applied voltage is.
a. With no voltage applied, is the output bright (switch closed, optical signal passing through) or dark (switch open, no signal)? Explain.
b. What is the first index of refraction of the electro-optic crystal larger than that changes the optical switch to the state opposite the state you found in part a?
a. Green light will shine through a hole with a -diameter hole of and is seen on a screen. Does the circular point of lights is on the screen shrink in diameter, rise in diameter, or remain the same in diameter by? Explain.
b. Green light will shine through a hole with a diameter of and is seen on a screen. Does the circular point of lights is on the screen shrink in diameter, rise in diameter, or remain the same in diameter by? Explain.
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