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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Бібліографічні деталі
Дата:2012
Автори: Alexandrov, A.N., Koval, S.M., Zhdanov, V.I.
Формат: Стаття
Мова:English
Опубліковано: Головна астрономічна обсерваторія НАН України 2012
Назва видання:Advances in Astronomy and Space Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/119397
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
collection 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
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