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Nuclear-pumped x-ray lasers are seen as a possible weapon to destroy ICBM booster rockets at ranges up to 2000 km. One limitation on such a device is the spreading of the beam due to diffraction, with resulting dilution of beam intensity. Consider such a laser operating at a wavelength of 1.40 nm. The element that emits light is the end of a wire with diameter 0.200 mm. (a) Calculate the diameter of the central beam at a target 2000 km away from the beam source. (b) What is the ratio of the beam intensity at the target to that at the end of the wire? (The laser is fired from space, so neglect any atmospheric absorption.)

Nuclear-pumped x-ray lasers are seen as a possible weapon to destroy ICBM booster rockets at ranges up to 2000 km. One limitation on such a device is the spreading of the beam due to diffraction, with resulting dilution of beam intensity. Consider such a laser operating at a wavelength of 1.40 nm. The element that emits light is the end of a wire with diameter 0.200 mm. (a) Calculate the diameter of the central beam at a target 2000 km away from the beam source. (b) What is the ratio of the beam intensity at the target to that at the end of the wire? (The laser is fired from space, so neglect any atmospheric absorption.)

Modern Physics
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter3: The Quantum Theroy Of Light
Section: Chapter Questions
Problem 38P: As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms...
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Nuclear-pumped x-ray lasers are seen as a possible
weapon to destroy ICBM booster rockets at ranges up to 2000 km. One limitation on such a device is the spreading of the beam due to
diffraction, with resulting dilution of beam intensity. Consider such
a laser operating at a wavelength of 1.40 nm. The element that
emits light is the end of a wire with diameter 0.200 mm.
(a) Calculate the diameter of the central beam at a target 2000 km
away from the beam source. (b) What is the ratio of the beam intensity
at the target to that at the end of the wire? (The laser is
fired from space, so neglect any atmospheric absorption.)

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