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We continue our study of the optical properties of the solar gravitational lens (SGL). Taking the next step beyond representing it as an idealized monopole, we now characterize the gravitational field of the Sun using an infinite series of…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Slava G. Turyshev , Viktor T. Toth

We investigate the optical properties of the solar gravitational lens (SGL) with respect to an extended source located at a large but finite distance from the Sun. The static, spherically symmetric gravitational field of the Sun is modeled…

General Relativity and Quantum Cosmology · Physics 2019-10-14 Slava G. Turyshev , Viktor T. Toth

We continue our investigation of the optical properties of the solar gravitational lens (SGL). We treat the Sun as an extended axisymmetric body and model its gravitational field using zonal harmonics. We consider a point source that is…

General Relativity and Quantum Cosmology · Physics 2021-08-06 Slava G. Turyshev , Viktor T. Toth

We consider the propagation of electromagnetic (EM) waves in the gravitational field of the Sun within the first post-Newtonian approximation of the general theory of relativity. We solve Maxwell's equations for the EM field propagating on…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Slava G. Turyshev , Viktor T. Toth

We investigate the optical properties of the solar gravitational lens (SGL) in the presence of the solar corona. For this, we consider the combined influence of the static spherically symmetric gravitational field of the Sun---modeled…

General Relativity and Quantum Cosmology · Physics 2019-02-11 Slava G. Turyshev , Viktor T. Toth

We discuss the propagation of electromagnetic (EM) waves in the post-Newtonian approximation of the general theory of relativity. We consider diffraction of EM waves in the static gravitational field of a massive monopole. We develop a…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Slava G. Turyshev

We discuss the optical properties of the solar gravitational lens (SGL). We estimate the power of the EM field received by an imaging telescope. Studying the behavior of the EM field at the photometric detector, we develop expressions that…

Instrumentation and Methods for Astrophysics · Physics 2020-02-14 Slava G. Turyshev , Viktor T. Toth

We study the optical properties of the solar gravitational lens (SGL) under the combined influence of the static spherically symmetric gravitational field of the Sun---modeled within the first post-Newtonian approximation of the general…

General Relativity and Quantum Cosmology · Physics 2019-02-01 Slava G. Turyshev , Viktor T. Toth

We study the optical properties of the solar gravitational lens (SGL) while treating the Sun as an extended, axisymmetric and rotating body. The gravitational field of the Sun is represented using a set of zonal harmonics. We develop an…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Slava G. Turyshev , Viktor T. Toth

The solar gravitational lens (SGL) offers unique capabilities for high-resolution imaging of faint, distant objects, such as exoplanets. In the near future, a spacecraft carrying a meter-class telescope with a solar coronagraph would be…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Slava G. Turyshev , Viktor T. Toth

We consider resolved imaging of faint sources with the solar gravitational lens (SGL) while treating the Sun as an extended gravitating body. We use our new diffraction integral that describes how a spherical electromagnetic wave is…

Instrumentation and Methods for Astrophysics · Physics 2023-06-01 Slava G. Turyshev , Viktor T. Toth

We study gravitational lensing by a generic extended mass distribution. For that, we consider the diffraction of electromagnetic (EM) waves by an extended, weakly aspherical, gravitating object. We account for the static gravitational field…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Slava G. Turyshev , Viktor T. Toth

The prospect of combining integral field spectroscopy with the solar gravitational lens (SGL) to spectrally and spatially resolve the surfaces and atmospheres of extrasolar planets is investigated. The properties of hyperbolic orbits…

Instrumentation and Methods for Astrophysics · Physics 2022-05-02 Alexander Madurowicz , Bruce Macintosh

We study image formation with the solar gravitational lens (SGL). We consider a point source that is positioned at a large but finite distance from the Sun. We assume that an optical telescope is positioned in the image plane, in the focal…

General Relativity and Quantum Cosmology · Physics 2020-02-25 Slava G. Turyshev , Viktor T. Toth

We utilize the well-established properties of the solar gravitational lens (SGL) to consider realistic observational scenarios. Actual exoplanets, which may be the target of an SGL observational campaign, are not stationary. Their…

Earth and Planetary Astrophysics · Physics 2023-09-28 Viktor T. Toth , Slava G. Turyshev

We consider the optical properties of the solar gravitational lens (SGL) treating the Sun as a massive compact body. Using our previously developed wave-optical treatment of the SGL, we convolve it with a thin-lens representing an optical…

Instrumentation and Methods for Astrophysics · Physics 2022-08-29 Slava G. Turyshev , Viktor T. Toth

The Solar Gravitational Lens (SGL) allows for major brightness amplification ($\sim 10^{11}$ at wavelength of $1~\mu$m) and extreme angular resolution ($\sim10^{-10}$ arcsec) within a narrow field of view. A meter-class telescope, with a…

We study imaging of point sources with a quadrupole gravitational lens while focusing on the formation and evolution of the Einstein cross formed on the image sensor of an imaging telescope. We use a new type of a diffraction integral that…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Slava G. Turyshev , Viktor T. Toth

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

The remarkable optical properties of the solar gravitational lens (SGL) include major brightness amplification (~1e11 at wavelength of 1 um) and extreme angular resolution (~1e-10 arcsec) in a narrow field of view. A mission to the SGL…

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