EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161760
Author: Voit
Publisher: VST
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Chapter 6, Problem 55EAP
To determine
To Find: Diffraction limit on the angular resolution of the dish.
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a) Describe what is meant by the term Point Spread Function (PSF), explain the
relationship between the PSF and the aperture (entrance pupil) of a telescope.
You should refer to the ideas of diffraction and Fourier Optics in your answer.
b) Determine the plate scale and theoretical resolving power at a wavelength of
380 x 10-9 m of a telescope with 2 m aperture diameter and focal length of 4m.
1. If the cross-track angular resolution of a satellite sensor at nadir is given by 1.4 /D where is the
wavelength being observed and D is the aperture size of the sensor, what is the cross-track spatial resolution on the
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(a) for an infrared sensor observing wavelengths at 20 microns?
(b) for a microwave sensor observing wavelengths at 1.5 cm?
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Both the Keck Telescope and
Hubble Space Telescope (HST)
observe visible light. Given a
typical visible light wavelength of
500 nm, and the diameters of 10 m
for Keck and 2.4 m for Hubble,
which telescope do you think
would have better angular
resolution? Based on the equation
for angular resolution, what is the
resolution of Keck at 500 nm? Of
HST?
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Chapter 6 Solutions
EBK THE COSMIC PERSPECTIVE
Ch. 6 - Prob. 1VSCCh. 6 - Prob. 2VSCCh. 6 - Prob. 3VSCCh. 6 - Prob. 4VSCCh. 6 - How does your eye focus light? How is a glass lens...Ch. 6 - How does a camera record light? How are images...Ch. 6 - What are the two key properties of a telescope,...Ch. 6 - What is the diffraction limit, and how does it...Ch. 6 - How do reflecting telescopes differ from...Ch. 6 - What are the three basic categories of...
Ch. 6 - Prob. 7EAPCh. 6 - What do we mean by spectral resolution? Why is...Ch. 6 - List at least three ways in which Earth's...Ch. 6 - 10. Describe how deeply each portion of the...Ch. 6 - Prob. 11EAPCh. 6 - Prob. 12EAPCh. 6 - Prob. 13EAPCh. 6 - Prob. 14EAPCh. 6 - Prob. 15EAPCh. 6 - Prob. 16EAPCh. 6 - Prob. 17EAPCh. 6 - Prob. 18EAPCh. 6 - Prob. 19EAPCh. 6 - Prob. 20EAPCh. 6 - Prob. 21EAPCh. 6 - Prob. 22EAPCh. 6 - Prob. 23EAPCh. 6 - Prob. 24EAPCh. 6 - Prob. 25EAPCh. 6 - Prob. 26EAPCh. 6 - Prob. 27EAPCh. 6 - Prob. 28EAPCh. 6 - Prob. 29EAPCh. 6 - Prob. 30EAPCh. 6 - Prob. 31EAPCh. 6 - Prob. 32EAPCh. 6 - Prob. 37EAPCh. 6 - Prob. 38EAPCh. 6 - Prob. 39EAPCh. 6 - Prob. 40EAPCh. 6 - Prob. 41EAPCh. 6 - Prob. 42EAPCh. 6 - Prob. 43EAPCh. 6 - Prob. 44EAPCh. 6 - Prob. 45EAPCh. 6 - Prob. 46EAPCh. 6 - Prob. 50EAPCh. 6 - Close Binary System. Suppose that two stars in a...Ch. 6 - Prob. 52EAPCh. 6 - Diffraction Limit of the Eye. Calculate the...Ch. 6 - Prob. 54EAPCh. 6 - Prob. 55EAPCh. 6 - Hubble’s Field of View. Large telescopes often...Ch. 6 - Prob. 57EAPCh. 6 - Visible-Light Interferometry. Technological...
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- The telescope of a spy satellite is reputed to be able to resolve objects 9 cm apart from an altitude of 180 km above the surface of Earth. 1) What is the diameter, in meters, of the telescope’s aperture, if its resolution is limited only by diffraction effects? Take 550 nm for the wavelength of light.arrow_forwardWhat is bandwidth in an optical instrument? How does it relate to resolution and noise in an optical instrument?arrow_forward4. For a space-based imaging system that uses a fixed size aperture for both visible and infrared sensors, given the characteristics listed, what would be the theoretical resolution for each of the sensors? Aperture diameter = 1.1 m. Visible wavelength = 0.5 micron. IR wavelength = 2.0 micron. Altitude = 400 km. (note: 1 micron = 1E-6 m)arrow_forward
- The large space telescope that has been placed into an Earth orbit has an aperture diameter of 1.4 meters. What angular resolution will this telescope achieve for visible light of wavelength 2 = 6.5 x 10-7 m? Write your answer in "seconds of arc".arrow_forwardWhat is birefringence? Describe the differences in the behavior of the ordinary and extraordinary rays. In what environments is birefringence observed?arrow_forwardCan you please assist with Part 2 of 5?arrow_forward
- The FAST radio telescope in China is currently the largest in the world, with a diameter of 500 meters. It is able to detect radio waves across a wide spectrum, but let's assume it is "tuned" to a frequency of 1 Giga-Hertz (10°cycles per second). What is the angular resolution limit of the FAST telescope at this frequency?arrow_forward5. Two black flies are sitting 7.52 cm apart on a hamburger bun on a picnic table. A spy satellite with a built-in telescope is orbiting overhead at an altitude of 425 km. What diameter telescope mirror would be needed to resolve the two flies from that distance? Assume light of wavelength 715 nm (just because that's the value I picked-it's about at the end of the red end of the visible spectrum).arrow_forwardEstimate the angular resolutions of a radio interferometer with a 50 m baseline, operating at a wavelength of 1 μm.arrow_forward
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