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A brief introduction to exterior differential systems for graduate students familiar with manifolds and differential forms. For complete files, see https://github.com/Ben-McKay/introduction-to-exterior-differential-systems

Differential Geometry · Mathematics 2020-09-17 Benjamin McKay

Astronomical imaging can be broadly classified into two types. The first type is amplitude interferometry, which includes conventional optical telescopes and Very Large Baseline Interferometry (VLBI). The second type is intensity…

Instrumentation and Methods for Astrophysics · Physics 2022-05-04 Manuel Bojer , Zixin Huang , Sebastian Karl , Stefan Richter , Pieter Kok , J. von Zanthier

This paper extends the known characterization of interpolation and sampling sequences for Bergman spaces to the mixed-norm spaces. The Bergman spaces have conformal invariance properties not shared by the mixed-norm spaces. As a result,…

Complex Variables · Mathematics 2018-01-25 Phuc K. Nguyen , Daniel H. Luecking

Survey talk on certain aspects of the subject, stressing the neighbor relation as a basic notion in differential geometry.

Differential Geometry · Mathematics 2017-09-26 Anders Kock

Next generation radio telescopes will be much larger, more sensitive, have much larger observation bandwidth and will be capable of pointing multiple beams simultaneously. Obtaining the sensitivity, resolution and dynamic range supported by…

Instrumentation and Methods for Astrophysics · Physics 2010-09-03 Ronny Levanda , Amir Leshem

This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title. Comments/corrections welcome.

Exactly Solvable and Integrable Systems · Physics 2010-04-19 A. Doliwa , P. M. Santini

The field of sonification, using of non-speech audio for data analysis, is already established in space sciences. Meetings like "The audible Universe" focus on sonification tools applied in astronomy to represent complex data like nebulae…

Instrumentation and Methods for Astrophysics · Physics 2024-02-05 Johanna Casado , Beatriz García

In general, synthesis models provide the mean value of the distribution of possible integrated luminosities, this distribution (and not only its mean value) being the actual description of the integrated luminosity. Therefore, to obtain the…

Astrophysics · Physics 2019-06-19 M. Cervino , V. Luridiana

A short review of recent results in long-baseline optical interferometry pertaining to fundamental stellar parameters and the future possibilities this area over the next decade. Included are discussions of accurate stellar masses, links…

Solar and Stellar Astrophysics · Physics 2009-05-12 J. P. Aufdenberg , S. T. Ridgway , R. J. White

A review of various definitions of "compatibility" expressed in terms of ordinary probability, and a discussion of the occurrence of incompatibility (and the related phenomenon of interference) in non-quantal probabilistic systems.

Quantum Physics · Physics 2007-05-23 K. A. Kirkpatrick

This paper is about Information Geometry, a relatively new subject within mathematical statistics that attempts to study the problem of inference by using tools from modern differential geometry. This paper provides an overview of some of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Carlos C. Rodriguez

Atom interferometry is an exciting tool to probe fundamental physics. It is considered especially apt to test the universality of free fall by using two different sorts of atoms. The increasing sensitivity required for this kind of…

Instrumentation and Detectors · Physics 2014-08-19 Alexander Milke , André Kubelka-Lange , Norman Gürlebeck , Benny Rievers , Sven Herrmann , Thilo Schuldt , Claus Braxmaier

We present an imaging technique that allows the recovery of the transparency profile of wavelength-scale objects with deep subwavelength resolution based on far-field intensity measurements. The approach, interscale mixing microscopy (IMM),…

Optics · Physics 2017-03-21 Sandeep Inampudi , Nicholas Kuhta , Viktor A. Podolskiy

The paper deals with the construction of images from visibilities acquired using aperture synthesis instruments: Fourier synthesis, deconvolution, and spectral interpolation/extrapolation. Its intended application is to specific situations…

Astrophysics · Physics 2016-08-30 J. -F. Giovannelli , A. Coulais

It does a revision about the physical principles involved in digital processing of satellite images, more specifically in radiometric calibration of them. It shows a conceptual description of the interaction between radiation and atmosphere…

Atmospheric and Oceanic Physics · Physics 2012-08-01 Camilo Delgado-Correal , José E. García

Integrated-optic, astronomical, two-beam and three-beam, interferometric combiners have been designed and fabricated for operation in the L band (3 - 4 microns) for the first time. The devices have been realized in titanium-indiffused,…

Instrumentation and Methods for Astrophysics · Physics 2018-05-23 Hsien-kai Hsiao , K. A. Winick , John D. Monnier , Jean-Philippe Berger

Laser-plasma based experiments are always more demanding about the plasma features which need to be generated during the interaction. This is valid for laser-plasma acceleration as well as for inertial confinement fusion experiments. Most…

Plasma Physics · Physics 2025-09-03 F. Filippi , M. Cipriani , S. Mastrostefano , M. Scisciò , F. Consoli

Synthesizer is a fast, flexible, modular, and extensible Python package that empowers astronomers to turn theoretical galaxy models into realistic synthetic observations - including spectra, photometry, images, and spectral cubes - with a…

We present RESOLVE, a new algorithm for radio aperture synthesis imaging of extended and diffuse emission in total intensity. The algorithm is derived using Bayesian statistical inference techniques, estimating the surface brightness in the…

Instrumentation and Methods for Astrophysics · Physics 2016-02-03 H. Junklewitz , M. R. Bell , M. Selig , T. A. Enßlin

We review the potential of Astrophotonics, a relatively young field at the interface between photonics and astronomical instrumentation, for spectro-interferometry. We review some fundamental aspects of photonic science that drove the emer-…