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Gravitational lens equation: critical solutions and magnification near folds and cusps
We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the cl...
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| Language: | English |
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Головна астрономічна обсерваторія НАН України
2012
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| Series: | Advances in Astronomy and Space Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/119397 |
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irk-123456789-1193972017-06-07T03:05:49Z Gravitational lens equation: critical solutions and magnification near folds and cusps Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the closeness of a point source to the caustic. Second-order corrections to known approximate solutions and magnification are found in case of a general fold point. The first-order corrections near a general cusp are found as well. 2012 Article Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ. 2227-1481 http://dspace.nbuv.gov.ua/handle/123456789/119397 en Advances in Astronomy and Space Physics Головна астрономічна обсерваторія НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the closeness of a point source to the caustic. Second-order corrections to known approximate solutions and magnification are found in case of a general fold point. The first-order corrections near a general cusp are found as well. |
| format |
Article |
| author |
Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. |
| spellingShingle |
Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. Gravitational lens equation: critical solutions and magnification near folds and cusps Advances in Astronomy and Space Physics |
| author_facet |
Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. |
| author_sort |
Alexandrov, A.N. |
| title |
Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_short |
Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_full |
Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_fullStr |
Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_full_unstemmed |
Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_sort |
gravitational lens equation: critical solutions and magnification near folds and cusps |
| publisher |
Головна астрономічна обсерваторія НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119397 |
| citation_txt |
Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ. |
| series |
Advances in Astronomy and Space Physics |
| work_keys_str_mv |
AT alexandrovan gravitationallensequationcriticalsolutionsandmagnificationnearfoldsandcusps AT kovalsm gravitationallensequationcriticalsolutionsandmagnificationnearfoldsandcusps AT zhdanovvi gravitationallensequationcriticalsolutionsandmagnificationnearfoldsandcusps |
| first_indexed |
2023-10-18T20:34:28Z |
| last_indexed |
2023-10-18T20:34:28Z |
| _version_ |
1796150555936030720 |