Chaotic dynamics of an asymmetric circular billiard with ray splitting
The ray evolution in a composite asymmetric circular billiard with ray refraction at the inner phase interface is studied. A quantitative criterion has been derived for the exponential angular widening of an arbitrary ray bundle as a necessary condition of the ray chaos. The possible reconstructions...
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| Veröffentlicht in: | Functional Materials |
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| Datum: | 2007 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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НТК «Інститут монокристалів» НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/136482 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Chaotic dynamics of an asymmetric circular billiard with ray splitting / V.V. Yanovsky, S.V. Naydyonov, A.V. Kurilo // Functional Materials. — 2007. — Т. 14, № 2. — С. 155-163. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728829305356288 |
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| author | Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. |
| author_facet | Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. |
| citation_txt | Chaotic dynamics of an asymmetric circular billiard with ray splitting / V.V. Yanovsky, S.V. Naydyonov, A.V. Kurilo // Functional Materials. — 2007. — Т. 14, № 2. — С. 155-163. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Functional Materials |
| description | The ray evolution in a composite asymmetric circular billiard with ray refraction at the inner phase interface is studied. A quantitative criterion has been derived for the exponential angular widening of an arbitrary ray bundle as a necessary condition of the ray chaos. The possible reconstructions in the phase portrait of the mentioned billiard family in the phase space at changes in the controlling parameter (asymmetry) have been analyzed qualitatively. Lacunar features have been revealed and explained in the phase dynamics associated with the geometric thinning of the acceptable ray paths and with the total internal reflection of the rays from the billiard inner boundary. The results obtained are of importance in description of the light collection phenomena in composite detectors made of several different scintillation materials.
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| first_indexed | 2025-12-07T19:11:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-136482 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-12-07T19:11:11Z |
| publishDate | 2007 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. 2018-06-16T13:00:33Z 2018-06-16T13:00:33Z 2007 Chaotic dynamics of an asymmetric circular billiard with ray splitting / V.V. Yanovsky, S.V. Naydyonov, A.V. Kurilo // Functional Materials. — 2007. — Т. 14, № 2. — С. 155-163. — Бібліогр.: 8 назв. — англ. 1027-5495 https://nasplib.isofts.kiev.ua/handle/123456789/136482 The ray evolution in a composite asymmetric circular billiard with ray refraction at the inner phase interface is studied. A quantitative criterion has been derived for the exponential angular widening of an arbitrary ray bundle as a necessary condition of the ray chaos. The possible reconstructions in the phase portrait of the mentioned billiard family in the phase space at changes in the controlling parameter (asymmetry) have been analyzed qualitatively. Lacunar features have been revealed and explained in the phase dynamics associated with the geometric thinning of the acceptable ray paths and with the total internal reflection of the rays from the billiard inner boundary. The results obtained are of importance in description of the light collection phenomena in composite detectors made of several different scintillation materials. en НТК «Інститут монокристалів» НАН України Functional Materials Chaotic dynamics of an asymmetric circular billiard with ray splitting Хаотична динаміка асиметричного більярда з заломленням променів Article published earlier |
| spellingShingle | Chaotic dynamics of an asymmetric circular billiard with ray splitting Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. |
| title | Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_alt | Хаотична динаміка асиметричного більярда з заломленням променів |
| title_full | Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_fullStr | Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_full_unstemmed | Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_short | Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_sort | chaotic dynamics of an asymmetric circular billiard with ray splitting |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/136482 |
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