Radio Interferometry - Simulation and Optimization

Radio Interferometry - Simulation and Optimization

This was my final project on Astronomy and Astrophysics and it was presented in 2013.

I pretended to talk a little about radio astronomy, radio interferometry and how to create a small simulation.

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Dani Bento

July 01, 2013
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Transcript

  1. Motivation Basics Radio-Interferometry Simulator Summary Radio-Interferometry Simulation and Optimization D.

    Bento Department of Physics University of Lisbon - Science Faculty Astronomy and Astrophysics’s Project, 2013 Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  2. Motivation Basics Radio-Interferometry Simulator Summary Outline Motivation Radioastronomy Simulation Development

    Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  3. Motivation Basics Radio-Interferometry Simulator Summary Radioastronomy Outline Motivation Radioastronomy Simulation

    Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  4. Motivation Basics Radio-Interferometry Simulator Summary Radioastronomy Understand the basics of

    radioastronomy Understand the radio-interferometry technique Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  5. Motivation Basics Radio-Interferometry Simulator Summary Simulation Development Outline Motivation Radioastronomy

    Simulation Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  6. Motivation Basics Radio-Interferometry Simulator Summary Simulation Development Build a virtual

    radio-interferometry simulator Study the optimization aspects for a radio-interferometry system Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  7. Motivation Basics Radio-Interferometry Simulator Summary Light and Radiation Outline Motivation

    Radioastronomy Simulation Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  8. Motivation Basics Radio-Interferometry Simulator Summary Light and Radiation Light Spectrum

    visible light is only a small part of all electromagnetic spectrum Figure : electromagnetic spectrum Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  9. Motivation Basics Radio-Interferometry Simulator Summary Light and Radiation Black Body

    Radiation which we can approach radiation emission of all bodies Figure : black body radiation (Plank distribution) Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  10. Motivation Basics Radio-Interferometry Simulator Summary Interference Fenomena Outline Motivation Radioastronomy

    Simulation Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  11. Motivation Basics Radio-Interferometry Simulator Summary Interference Fenomena Young’s Double Slit

    Experiment Figure : double slit experiment Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  12. Motivation Basics Radio-Interferometry Simulator Summary Interference Fenomena Some measures Figure

    : schematic view of 3 Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  13. Motivation Basics Radio-Interferometry Simulator Summary Interference Fenomena We have... maxima:

    sin(θ) = mλ, m ∈ Z (1) minima: sin(θ) = (m + 1/2)λ, m ∈ Z (2) λ is the wave length if d L we can approach r1 − r2 = dsin(θ) Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  14. Motivation Basics Radio-Interferometry Simulator Summary Interference Fenomena ... and Observation

    Figure : use of interferogram Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  15. Motivation Basics Radio-Interferometry Simulator Summary Concept Outline Motivation Radioastronomy Simulation

    Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  16. Motivation Basics Radio-Interferometry Simulator Summary Concept Basic Radio Interferometer Figure

    : Schema - b is the distance between antennas, with V1 and V2 signal and θ is the angle between the source and zenite Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  17. Motivation Basics Radio-Interferometry Simulator Summary Concept Another view Figure :

    basic radio-interferometer with the base line projection u − v The distance between antennas define the maximum angular resolution of the system θ = λ/B Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  18. Motivation Basics Radio-Interferometry Simulator Summary Mathematics Outline Motivation Radioastronomy Simulation

    Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  19. Motivation Basics Radio-Interferometry Simulator Summary Mathematics Fourier and Periodic Functions

    F(u, v) = ∞ −∞ ∞ −∞ f(x, y)e−i2π(xu+yv)dxdy (3) f(x, y) = ∞ −∞ ∞ −∞ F(u, v)e−i2π(xu+yv)dudv (4) Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  20. Motivation Basics Radio-Interferometry Simulator Summary Mathematics Spacial Domain and Frequency

    Domain Figure : 2 dimensional fourier transform Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  21. Motivation Basics Radio-Interferometry Simulator Summary Mathematics Base line projection This

    is a representation of the u − v plan (time and frequency space) Figure : uv plan Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  22. Motivation Basics Radio-Interferometry Simulator Summary Mathematics Fourier Correlation gives a

    function of geometrical time delay τ in time and frequency space Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  23. Motivation Basics Radio-Interferometry Simulator Summary Development and Use Outline Motivation

    Radioastronomy Simulation Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  24. Motivation Basics Radio-Interferometry Simulator Summary Development and Use About the

    Application Development with Python Lots of Libraries to use Big open source community Derived from C Language Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  25. Motivation Basics Radio-Interferometry Simulator Summary Development and Use Using it...

    Let’s demonstrate it... Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  26. Motivation Basics Radio-Interferometry Simulator Summary Results Outline Motivation Radioastronomy Simulation

    Development Basics Light and Radiation Interference Fenomena Radio-Interferometry Simulator Concept Mathematics Fourier Transforms UV Projection Development and Use Results Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  27. Motivation Basics Radio-Interferometry Simulator Summary Results Source Point Figure :

    Simple Source Point Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  28. Motivation Basics Radio-Interferometry Simulator Summary Results Source Point Figure :

    Radio Galaxy Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  29. Motivation Basics Radio-Interferometry Simulator Summary Results MERLIN Figure : observing

    source at dec 90o Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  30. Motivation Basics Radio-Interferometry Simulator Summary Results MERLIN Figure : uv

    plan for source at dec 90o with 3 hours of rotation Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  31. Motivation Basics Radio-Interferometry Simulator Summary Results MERLIN Figure : single

    point source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  32. Motivation Basics Radio-Interferometry Simulator Summary Results MERLIN Figure : single

    point source CLEAN Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  33. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-A Figure : uv

    plan for source at 90o with no rotation Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  34. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-A Figure : uv

    plan for source at 90o with rotation Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  35. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-A Figure : single

    point source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  36. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-A Figure : single

    point source CLEAN Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  37. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-A Figure : radio

    galaxy source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  38. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-D Figure : uv

    plan for source at 90o with rotation Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  39. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-D Figure : single

    point source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  40. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-D Figure : single

    point source CLEAN Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  41. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-D Figure : radio

    galaxy source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  42. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-(A+D) Figure : uv

    plan for source at 90o with rotation Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  43. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-(A+D) Figure : radio

    galaxy source output Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  44. Motivation Basics Radio-Interferometry Simulator Summary Results VLA-(A+D) Figure : radio

    galaxy source CLEAN Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  45. Motivation Basics Radio-Interferometry Simulator Summary Summary The coverage of u

    − v plan defines the quality of the final result The length of the base line defines the maximum angular resolution Primary Beam for each antenna should be included in simulation New projects are comming with a lot of new science to do Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  46. Appendix For Further Reading For Further Reading I Diane Fisher

    Miller Basics of Radio Astronomy for the Goldstone-Apple Valley Radio Telescope JPL - Advanced Mission Operations Section Dale E. Gary Introduction to Radio Astronomy NJIT Samer Atiani Constructing a Radio Interferometer Faculty of Guilford College Sándor Frey Radio Interferometry - Brief history, theory & practice Institute of Geodesy, Cartography and Remote Sensing Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  47. Appendix For Further Reading For Further Reading II Jamie Stevens

    Interferometry I - Parkes Radio School 2011 CSIRO J. Condon and S. Ransom ITN 215212: Black Hole Universe NRAO Mike Garrett Radio Astronomy - Basics of radio interferometer & Aperture Synthesis MSc. course Devaky Kunneriath Introduction to Radio Interferometry ALMA Hagit Shatkay The Fourier Transform - A Primer Department of Computer Science Brown University Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry
  48. Appendix For Further Reading For Further Reading III Forrest M.

    Hoffman An Introduction to Fourier Theroy Daniel Bento University of Lisbon - Science Faculty Radio-Interferometry