TY - JOUR
T1 - Analytic approach to perturbed Einstein ring with elliptical NFW lens model
AU - Habara, Yuta
AU - Yamamoto, Kazuhiro
N1 - Funding Information:
This work is supported by Japan Society for Promotion of Science (JSPS) Grants-in-Aid for Scientific Research (Nos. 21540270, 21244033). This work is also supported by JSPS Core-to-Core Program “International Research Network for Dark Energy”. We thank M. Meneghetti and M. Oguri for useful discussions.
PY - 2011/3
Y1 - 2011/3
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.
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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 -