Can you me with this Hershel telescope beam?

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SUMMARY

The PACS instrument of the Herschel Space Observatory exhibits a resolution of 5" at a scan speed of 20''/sec, which degrades to 10'' at 60''/sec. This degradation occurs because the bolometric detector cannot respond quickly enough to the increased scan speed, resulting in a smeared temperature-based signal that affects spatial resolution. The phenomenon is analogous to lag in analog TV cameras, where moving objects appear smeared due to insufficient time for the sensor to register the image fully. The relationship between scan speed and resolution is critical for effective data interpretation in astronomical observations.

PREREQUISITES
  • Understanding of bolometric imaging systems
  • Familiarity with the PACS instrument and its specifications
  • Knowledge of signal processing in astronomical data
  • Basic principles of angular resolution and scan speed in telescopes
NEXT STEPS
  • Review the PACS observers manual for detailed specifications and operational guidelines
  • Study the effects of scan speed on resolution in bolometric imaging systems
  • Learn about the convolution of time sensitivity functions in signal processing
  • Explore the principles of angular resolution in astronomical instruments
USEFUL FOR

Astronomers, astrophysicists, and researchers involved in observational astronomy, particularly those working with bolometric imaging and the Herschel Space Observatory.

sonutabitha
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I came to know that the PACS instrument of HERSHEL has a resolution of 5" at a scan speed of 20''/sec whereas it's 10'' at 60''/sec. The resolution has almost doubled with the scan speed. Can you please tell me why it's so?
 
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I think the resolution is cut in half with the increased scan speed, not doubled. A resolution of 5" should be twice as good as 10".
 
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Drakkith said:
I think the resolution is cut in half with the increased scan speed, not doubled. A resolution of 5" should be twice as good as 10".
Sorry...that's what I meant. The resolution is cut by half for 60''/sec scan speed. Can you please explain why it's so?
 
sonutabitha said:
Sorry...that's what I meant. The resolution is cut by half for 60''/sec scan speed. Can you please explain why it's so?

Not sure. I don't know how the telescope works when it is scanning the sky.
 
From the PACS observers manual:

"For fast scans in normal and parallel mode, this PSF structure is smeared by detector time constants and data averaging."

http://herschel.esac.esa.int/Docs/PACS/html/ch03.html#sec-characteristics-photometer

See Table 3.1 in that link. Are you referring to the doubling of the FWHM from 5.26 x 5.61 at 10"/s to 5.75 x 9.0 at 60"/s with the Blue detector? If so then that's only along the spacecraft z-direction, which, as the mention above, is due to the increased scan speed. PACS is a bolometer so it doesn't bin photons, it reads a change in temperature due to those photons as a signal instead. When the spacecraft scans faster the thermal properties of the detector mean it can't respond as fast so you smear the temperature-based signal through time, which translates into spatial resolution. Also that signal comes out as a time series, which must be sampled, so I assume that's what they mean when they refer to data averaging.

I don't have a lot of experience directly with Herschel but I've worked with other bolometric imaging systems so this is just my take on their manual.
 
The decrease in resolution (softer) is analogous to the effect of lag in old analogue TV cameras. A moving object will be 'smeared out' because of the delay in building up the image on the camera and the rate the object travels across a given spot. The image on the back of the tube is not over the sensor element for long enough to register fully and the charge on the sensor takes time to decay so it leaves behind a trace of the object that passed. A stationary object will give a full resolution image and the resolution will get worse as the speed increases and more picture elements contain traces of the image moving across them.
The acceptable angular speed will be inversely proportional to the decay time of the image on the sensor.
It is due to the Convolution of the time sensitivity function and the time profile of the light (heat) landing on a spot. (Those of a nervous disposition can ignore this bit.)
 

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