Wave Optics and Image Formation in Gravitational Lensing
Author(s)
Yasusada Nambu
ABSTRACT
We investigate image formations in gravitational lensing systems using wave optics. Applying the Fresnel-Kirchhoff diffraction formula to waves scattered by a gravitational potential of a lens object, we demonstrate how images of source objects are obtained directly from wave functions without using a lens equation for gravitational lensing. As an example of image formation in gravitational lensing, images of a point source by a point mass gravitational lens are presented. These images reduce to those obtained by a ray tracing method in the geometric optics limit.
Cite this paper
Y. Nambu, "Wave Optics and Image Formation in Gravitational Lensing," International Journal of Astronomy and Astrophysics, Vol. 3 No. 1, 2013, pp. 1-7. doi: 10.4236/ijaa.2013.31001.
Y. Nambu, "Wave Optics and Image Formation in Gravitational Lensing," International Journal of Astronomy and Astrophysics, Vol. 3 No. 1, 2013, pp. 1-7. doi: 10.4236/ijaa.2013.31001.
References
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[1] P. Schneider, J. Ehlers and E. E. Falco, “Gravitational Lenses,” Springer-Verlag, New York, 1992. doi:10.1007/978-1-4612-2756-4 [2] T. T. Nakamura and S. Deguchi, “Wave Optics in Gravitational Lensing,” Progress of Theoretical Physics, Vol. 133, 1999, pp.137-153. [3] C. Baraldo and A. Hosoya, “Gravitationally Induced Interference of Gravitational Waves by a Rotating Massive Object,” Physical Review D, Vol. 59, No. 8, 1999, Article ID: 083001. [4] N. Matsunaga and K. Yamamoto, “The Finite Source Size Effect and Wave Optics in Gravitational Lensing,” JCAP, Vol. 01, 2006, p. 023. [5] H. Falcke, F. Melia and E. Agol, “Viewing the Shadow of the Black Hole at the Galactic Center,” Astrophysical Journal, Vol. 528, 2000, pp. L13-L16. [6] M. Miyoshi, K. Ishituska, S. Kameno and Z.-Q. Shen, “Direct Imaging of the Black Hole, SgrA*,” Progress of Theoretical Physics, Vol. 155, 2004, pp. 186-189. [7] E. Herlt and H. Stephani, “Wave Optics of the Spherical Gravitational Lens Part I: Diffraction of a Plane Electromagnetic Wave by a Large Star,” International Journal of Theoretical Physics, Vol. 15, 1976, pp. 45-65. [8] K. K. Sharma, “Optics: Principles and Applications,” Academic Press, Cambridge, 2006. [9] J. A. H. Futterman, F. A. Handler, and R. A. Matzner, “Scattering from Black Holes,” Cambridge University Press, Cambridge, 1988. doi:10.1017/CBO9780511735615 [10] V. P. Frolov and I. D. Novikov, “Black Hole Physics,” Kluwer Academic Publishers, 1998. doi:10.1007/978-94-011-5139-9