Wave Optics in Gravitational Lensing

1999/01/01 by Takahiro T. Nakamura, Shuji Deguchi · 1 voice · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Radio Astronomy Observations and Technology

paper · pdf · doi:10.1143/ptps.133.137

openalex publication_date 1999/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

This review on “wave optics in gravitational lensing” includes a derivation of the diffraction integral formula for the lensed wave amplitude using the path integral (§2), reduction of this formula to the geometric optics approximation in the short wavelength limit along with discussion on the condition that the wave effects become important (§3), examples of wave effects for a point-mass lens and the fold caustic (§4), and a numerical method of evaluating the diffraction integral (§5).

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Discussions

• last 5 hours I have been struggling to prove one formula that simplifies path integral in gravitational lensing: $$ \begin{gathered} \sum_{j=l}^{N-1} r_j r_{j+1}\left|\boldsymbol{\theta}_j-\boldsymbol [stackexchange, 1 points]

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