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Gravitationslinser
KTH, School of Engineering Sciences (SCI).
KTH, School of Engineering Sciences (SCI).
2013 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Gravitational lenses are unlike ordinary optical lenses, a phenomenon corrupting our optical view of the cosmos. When we look out intospace we see celestial bodies lying with astronomical distance from Earth. There is no guarantee that what we see out there in space is actually there where we are observing it, and it may be that we see multiple images of the same star! Studies have shown that thenumber of distorted images of an n-mass (n > 1) plane lens can not exceed 5(n -1) for lighter lenses or 5n for more massive lens. This mathematical thesis covers gravitational lensing and their properties that distort light rays coming towards us from distant celestial bodies. In addition of gravitational lensing, its properties and the proof of the maximum number of distorted images, a bigger part of this work even cover two very interesting mathematical tools - the so-called Schwarz function and Bezout theorem.

Abstract [sv]

Gravitationslinser är till skillnad från vanliga optiska linser en effekt som förvränger vår optiska syn på kosmos. När vi tittar ut mot rymdenser vi himlakroppar som ligger på astronomiska avstånd från jorden. Det finns ingen garanti att det vi ser i ute i rymden benner sig just där vi observerar det och det kan hända att vi ser multipla bilder avsamma stjärna! Undersökningar har visat att antalet förvrängda bilder av en sjärna bakom en lins bestående av n-sjärnor (n > 1) inte kan blimer än 5(n - 1) for en lättare- eller 5n för en tyngre lins. Detta matematiska arbete handlar om gravitationslinser och deras egenskaper att förvränga ljusstrålar som kommer mot oss från avlägsna himlakroppar. Utöver gravitationslinsens egenskaper och beviset av maximalt antal förvrängda bilder, så täcker även en större del av arbetet två mycket intressanta matematiska verktyg- den så kallade Schwarzfunktionenoch Bézout sats.

Place, publisher, year, edition, pages
2013. , 28 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-154235OAI: oai:DiVA.org:kth-154235DiVA: diva2:756124
Educational program
Master of Science in Engineering - Microelectronics
Supervisors
Available from: 2014-10-16 Created: 2014-10-16 Last updated: 2014-10-16Bibliographically approved

Open Access in DiVA

Kiarash Behnam & Ilyas Ahmed(629 kB)68 downloads
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Type fulltextMimetype application/pdf

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CiteExportLink to record
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