Analytic approach to perturbed Einstein ring with elliptical NFW lens model

Yuta Habara, Kazuhiro Yamamoto

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical NavarroFrenkWhite (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterize a lens system near the Einstein ring.

Original languageEnglish
Pages (from-to)371-400
Number of pages30
JournalInternational Journal of Modern Physics D
Volume20
Issue number3
DOIs
Publication statusPublished - Mar 1 2011
Externally publishedYes

Fingerprint

Albert Einstein
Lens
lenses
Ring
rings
magnification
alkalies
Gravitational Lensing
Caustic
Model
Simplicity
method
Line
Demonstrate

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Analytic approach to perturbed Einstein ring with elliptical NFW lens model. / Habara, Yuta; Yamamoto, Kazuhiro.

In: International Journal of Modern Physics D, Vol. 20, No. 3, 01.03.2011, p. 371-400.

Research output: Contribution to journalArticle

@article{b11939effb9b4d17baeac44a93dfa7d7,
title = "Analytic approach to perturbed Einstein ring with elliptical NFW lens model",
abstract = "We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical NavarroFrenkWhite (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterize a lens system near the Einstein ring.",
author = "Yuta Habara and Kazuhiro Yamamoto",
year = "2011",
month = "3",
day = "1",
doi = "10.1142/S0218271811018834",
language = "English",
volume = "20",
pages = "371--400",
journal = "International Journal of Modern Physics D",
issn = "0218-2718",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

TY - JOUR

T1 - Analytic approach to perturbed Einstein ring with elliptical NFW lens model

AU - Habara, Yuta

AU - Yamamoto, Kazuhiro

PY - 2011/3/1

Y1 - 2011/3/1

N2 - We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical NavarroFrenkWhite (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterize a lens system near the Einstein ring.

AB - We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical NavarroFrenkWhite (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterize a lens system near the Einstein ring.

UR - http://www.scopus.com/inward/record.url?scp=79953107834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953107834&partnerID=8YFLogxK

U2 - 10.1142/S0218271811018834

DO - 10.1142/S0218271811018834

M3 - Article

AN - SCOPUS:79953107834

VL - 20

SP - 371

EP - 400

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

SN - 0218-2718

IS - 3

ER -