Answered: 18.6 Consider a rectangular aperture of… | bartleby

Related questions

Question

18.6 Consider a rectangular aperture of dimensions 0.2 mm
x 0.3 mm. Obtain the positions of the first few maxima and
minima in the Fraunhofer diffraction pattern along directions
parallel to the length and breadth of the rectangle. Assume
λ = 5 x 105 cm and that the diffraction pattern is produced
at the focal plane of a lens of focal length 20 cm.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Jackson is standing in air and is shining a flashlight at a 62-cm-thick slab of glass. His beam makes an angle of 83.5 degrees with the surface of the glass. The glass is a dispersive medium, and has an index of refraction of 2.1 for red light and 2.3 for purple light. Find the distance between the point where the red light leaves the slab and where the purple light leaves it. [The angles of refraction are small, so make the appropriate approximation when calculating their sines.]
A vehicle with headlights separated by 1.71 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 27.0 km?
Young's experiment uses a laser with a wavelength λ = 632.8 nm, a slit separation of 0.5 mm and an observation distance of 40 cm. What is the separation of the stripes if the experiment is performed in (a) air (n = 1,0003), (b) a carbon dioxide environment (n = 1,0005), and (c) in water (n = 1,333)?
Pluto and its moon Charon are separated by 19600 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 5.40×109 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 545 nm. To determine the answer, calculate the ratio of the telescope's angular resolution ?T to the angular separation ?PC of the celestial bodies.
A slit of width d is placed in front of a lens of focal length 0.5 m and is illuminated normally with light of wavelength 5.89 × 107 m. The first diffraction minima on either side of the central diffraction maximum are separated by 2 × 10-³ m. The width d of the slit is m.
A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.12 degrees, and the first light has wavelength λ1 = 530 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 Part (c) Find the value of the wavelength of the second color λ2 in nm.
Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer diffraction pattern of a single slit of width 0.182 mm, using light of wavelength 581 nm.(b) Find the angle locating the second minimum.
A vehicle with headlights separated by 2.00 m approaches an observer holding an infrared detector sensitive to radiation of wavelength 885 nm. What aperture diameter is required in the detector if the two headlights are to be resolved at a distance of 10.0 km?
A multi-mode fiber optic has a core index of n = 1.492 and a cladding index of 1.489. The diameter of the core is 30.0 microns. Monochromatic light is focused into one end of a perfectly straight fiber which is 25.0 km long. What will be the difference in arrival time at the far end of the fiber for the axial and marginal rays?
pls help
A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.
PROVE THAT FOR PARALLEL LIGHT RAYS INCIDENT ON A FILM WITH THICKNESS t AT AN ANGLE Đ: THE OPTICAL PATH DIFFERENCE (OPD) IS OPD = 2 2 + √n² - sin ²0 t