# Perturbation theory of multi-plane lens effects in terms of mass ratios: Approximate expressions of lensed-image positions for two lens planes

@article{Izumi2010PerturbationTO, title={Perturbation theory of multi-plane lens effects in terms of mass ratios: Approximate expressions of lensed-image positions for two lens planes}, author={Koji Izumi and Hideki Asada}, journal={arXiv: Cosmology and Nongalactic Astrophysics}, year={2010} }

Continuing work initiated in an earlier publication (Asada, MNRAS. 394 (2009) 818), we make a systematic attempt to determine, as a function of lens and source parameters, the positions of images by multi-plane gravitational lenses. By extending the previous single-plane work, we present a method of Taylor-series expansion to solve the multi-plane lens equation in terms of mass ratios except for the neighborhood of the caustics. The advantage of this method is that it allows a systematic… Expand

#### References

SHOWING 1-7 OF 7 REFERENCES

Perturbation theory of N point-mass gravitational lens systems without symmetry: small mass-ratio approximation

- Physics
- 2009

This paper makes the first systematic attempt to determine using perturbation theory the positions of images by gravitational lensing due to arbitrary number of coplanar masses without any symmetry… Expand

The continuous limit of the multiple lens effect and the optical scalar equation

- Physics
- 2004

We study the continuous limit of the multiple gravitational lensing theory based on the thin lens approximation. We define a new, light-path dependent angular diameter distance d and show that it… Expand

Singularity Theory and Gravitational Lensing

- Physics
- 2001

The 2000 David Blackwell Lecturer was Arlie O. Petters. Dr. Petters also coorganized CAARMS 7. Now there is a book, Singularity Theory and Gravitational Lensing by A. O. Petters, H. Levine, and J.… Expand

Gravitational microlensing by double stars and planetary systems

- Physics
- 1991

Almost all stars are in binary systems. When the separation between the two components is comparable to the Einstein ring radius corresponding to the combined mass of the binary acting as a… Expand

On the number of zeros of certain rational harmonic functions

- Mathematics, Physics
- 2004

Extending a result of Khavinson and Swiatek (2003) we show that the rational harmonic function r(z) - z, where r(z) is a rational function of degree n > 1, has no more than 5n - 5 complex zeros.… Expand

Discovery of a Jupiter/Saturn Analog with Gravitational Microlensing

- Physics, Medicine
- Science
- 2008

Two planets with masses that could not have been detected with other techniques are identified; their discovery from only six confirmed microlensing planet detections suggests that solar system analogs may be common. Expand

Spheroidal gravitational lenses

- Physics
- 1984

On presente une correction mineure a la solution interne de Bourassa et Kantowski. Elle conduit a une preuve simple du fait que si la densite projetee a une symetrie elliptique, alors il n'y a pas… Expand