A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front
Duality plays the main role in all mathematical theories. In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting...
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Hindawi Limited
2015-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2015/478580 |
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doaj-627c7f6e3de244d6989e39fa18fa03db2020-11-24T21:23:44ZengHindawi LimitedInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/478580478580A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase FrontAndrey Valerievich Gitin0Institut für Optik und Atomare Physik, Technische Universität Berlin, Sekretariat ER 1-1, Strasse des 17. Juni 135, 10623 Berlin, GermanyDuality plays the main role in all mathematical theories. In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting surfaces with the conic zero-distance phase front. A systematic study of these dualities has been performed.http://dx.doi.org/10.1155/2015/478580 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Andrey Valerievich Gitin |
| spellingShingle |
Andrey Valerievich Gitin A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front International Journal of Antennas and Propagation |
| author_facet |
Andrey Valerievich Gitin |
| author_sort |
Andrey Valerievich Gitin |
| title |
A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front |
| title_short |
A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front |
| title_full |
A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front |
| title_fullStr |
A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front |
| title_full_unstemmed |
A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front |
| title_sort |
simple proof of damien’s theorem and duality in theory of the zero-distance phase front |
| publisher |
Hindawi Limited |
| series |
International Journal of Antennas and Propagation |
| issn |
1687-5869 1687-5877 |
| publishDate |
2015-01-01 |
| description |
Duality plays the main role in all mathematical theories. In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting surfaces with the conic zero-distance phase front. A systematic study of these dualities has been performed. |
| url |
http://dx.doi.org/10.1155/2015/478580 |
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AT andreyvalerievichgitin asimpleproofofdamienstheoremanddualityintheoryofthezerodistancephasefront AT andreyvalerievichgitin simpleproofofdamienstheoremanddualityintheoryofthezerodistancephasefront |
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