design of arrays minimizing side lobes

19
March, 2009 SPDO meeting Design of Arrays minimizing Side Lobes Leonid Kogan National Radio Astronomy Observatory

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Design of Arrays minimizing Side Lobes. Leonid Kogan National Radio Astronomy Observatory. OUTLINE. Comparison of configuration figures-of-merit Which side lobes to optimize, positive or negative? Connection of the Point Spread Function to the Beam pattern. - PowerPoint PPT Presentation

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Page 1: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Design of Arrays minimizing Side Lobes

Leonid Kogan

National Radio Astronomy Observatory

Page 2: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

OUTLINE

• Comparison of configuration figures-of-merit• Which side lobes to optimize, positive or negative?

Connection of the Point Spread Function to the Beam pattern.

• Brief description of the algorithm.• AIPS tasks CONFI and UVCON• Examples of projects where arrays were designed using

this side lobe minimizing algorithm

Page 3: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Configuration figures-of-merit.

• Minimal side lobes• Gaussian shape of the main beam• Minimal gaps in the UV coverage• OthersOptimizing figures of merit other than “Minimal side lobes”

improves the side lobes level implicitly,

but a direct minimal side lobes optimization may produce

better results.

Page 4: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Which side lobes to optimize:Positive or Negative?

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Page 5: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

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Page 6: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

• Q1. In which direction should each array antenna be moved to decrease the value of the array Beam Pattern (Point Spread function - PSF)?

• Q2. How far should each array antenna be moved to decrease the value of the array Beam Pattern (Point Spread Function - PSF) in that direction?

Page 7: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Where to move antennas?

Page 8: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

How much should an array antenna move along the found direction?

),( exBP n nx

nThe derivative of the function by

determines how far is the antenna from the optimum

Therefore the required shift of the given antennaIs proportional to the relevant derivative:

))(2sin(1

exxx n

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Page 9: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

The AIPS task CONFICONFI can design an optimum configuration using an iterative method.

During each iteration the direction of the biggest side lobe is computed. Then the algorithm of the described above is

applied.Each antenna is moved by a small portion of the calculated

value determined by a small (<<1) input parameter gain.

Various parameters can be constrained, such as topography, minimum spacing, configuration bounds, several initial configurations.

Page 10: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

List of some arrays optimized minimizing side lobes.

• ALMA Atacama Large Millimeter Array.

• SKA Square Kilometer Array (Antenna station)

• EVLA. Most compact E-configuration

• DSN 100 of 12 meter dishes

• LWA: Long Wavelength Array.

Antenna station of 256 dipoles each

Page 11: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

An ALMA Largest Configuration Optimized with Matching the Terrain at the Chajnantor Site(Chile)

Page 12: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Alma compact configuration optimized having topography file of the roads.

The side lobes optimized inside of a part of the primary beam.Maximum side lobe ~0.009

Page 13: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

LWA antenna station with 256 dipoles.Minimum spacing 2m.

The area of optimization is the whole semi-sphere.The side lobes are less than 0.0056 (22.5dB)

Page 14: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Slice of the above beam pattern along DEC

Page 15: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

Slice of the above beam pattern along RA

Page 16: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

LWA antenna station with 256 dipoles.The beam pattern is phased toward zenith angle 60, azimuth

45.

Page 17: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

EVLA compact configuration.The size of the dots (red are existing pads) shows the antennadiameter 25 meter. The side lobes are optimized inside of the

primary beam. Maximum side lobe ~5%.

Page 18: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

SKA antenna station example.The antenna diameter 12 meter.

The side lobes are optimized inside of the primary beam.

Maximum side lobe ~3%

Page 19: Design of Arrays minimizing Side Lobes

March, 2009 SPDO meeting

DSN array120 of 12 meter dishes

Side lobes ~25db