File:Scattered light from phase defect.JPG
Scattered_light_from_phase_defect.JPG (442 × 309 pixels, file size: 28 KB, MIME type: image/jpeg)
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Summary
[edit]DescriptionScattered light from phase defect.JPG |
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Date | 31 May 2008 (original upload date) |
Source | Own work |
Author | User:Guiding light |
This is a plot showing the fraction of light (normalized to the of the incident light) scattered by a (transparent) phase edge. The calculation is from the classical diffraction theory, and is given by s = 0.5 - 0.5 * cos(angle), where angle is the phase shift of the edge in radians. The calculation result is given as a percentage. Even for a gradual phase transition, as long as the illumination field extends much wider than the transition region, the result is still a very good estimate.
Derivation of result
[edit]The unscattered field amplitude (per unit area) is given in the classical diffraction theory by 0.5 + (0.5 exp[i*angle]). The 0.5 factor comes from the division of the scattering surface by the phase edge into one half that acts as a reference (first term), and a second half on the other side of the edge that represents the phase shift (second term in parenthesis). This is a complex number, whose magnitude squared corresponds to the unscattered light intensity. The result of this squaring of the magnitude is 0.5 + 0.5 * cos(angle). To obtain the scattered light intensity we subtract the unscattered intensity from the incident light intensity, which is normalized to unity. This leaves us with the result 0.5 - 0.5 * cos(angle).
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
Original upload log
[edit]Transferred from en.wikipedia to Commons using For the Common Good.
Date/Time | Dimensions | User | Comment |
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07:11, 31 May 2008 | 442 × 309 (29,159 bytes) | w:en:Guiding light (talk | contribs) | (This is a plot showing the fraction of light (normalized to the of the incident light) scattered by a (transparent) phase edge. The calculation is from the classical diffraction theory, and is given by s = 0.5 - 0.5 * cos(angle), where the angle is the ph) |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 09:52, 22 June 2012 | 442 × 309 (28 KB) | Hydriz (talk | contribs) | Transferred from en.wikipedia: see original upload log above |
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