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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| Дата: | 2007 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
НТК «Інститут монокристалів» НАН України
2007
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| Назва видання: | Functional Materials |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/136482 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1364822018-06-17T03:09:07Z Chaotic dynamics of an asymmetric circular billiard with ray splitting Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/136482 en Functional Materials НТК «Інститут монокристалів» НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. |
| spellingShingle |
Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. Chaotic dynamics of an asymmetric circular billiard with ray splitting Functional Materials |
| author_facet |
Yanovsky, V.V. Naydyonov, S.V. Kurilo, A.V. |
| author_sort |
Yanovsky, V.V. |
| title |
Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| title_short |
Chaotic dynamics of an asymmetric circular billiard with ray splitting |
| 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_sort |
chaotic dynamics of an asymmetric circular billiard with ray splitting |
| publisher |
НТК «Інститут монокристалів» НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/136482 |
| 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. |
| series |
Functional Materials |
| work_keys_str_mv |
AT yanovskyvv chaoticdynamicsofanasymmetriccircularbilliardwithraysplitting AT naydyonovsv chaoticdynamicsofanasymmetriccircularbilliardwithraysplitting AT kuriloav chaoticdynamicsofanasymmetriccircularbilliardwithraysplitting |
| first_indexed |
2023-10-18T21:13:07Z |
| last_indexed |
2023-10-18T21:13:07Z |
| _version_ |
1796152237776437248 |