Knots, Symmetry, and Scattering

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Electromagnetic scattering
knots
symmetry
topology
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Manuar, Omar
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We investigate the physics underlying the scattering of circularly polarized plane waves from a toroidal knot and related unknot. We find that backscattering along the axis of rotational symmetry from trefoil knots is cross polarized; copolarized backscatter is in the numerical noise. In contrast, untrefoils give appreciable backscattering cross sections for both polarizations. We also study an intermediate class of structures: morphs, which provides a geometrical bridge between trefoil and untrefoil. We pursue physical insight for the depolarization associated with asymmetric objects, tracing the connection from the induced charge distribution, to the induced moments, to the polarization of the backscattered field.

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2001-09-01
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Copyright 2001 IEEE. Reprinted from IEEE Transactions on Antennas and Propagation, Volume 49, Issue 9, September 2001, pages 1299-1304. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=20504&puNumber=8 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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