Compute In-Band Irradiance with an Infrared Telescope

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This discussion focuses on computing in-band irradiance using an infrared telescope, specifically referencing the Infrared Astronomical Satellite. To calculate the in-band irradiance on the focal plane, one must determine the power (in Watts) entering the telescope based on the star's intensity and the optical properties of the telescope, which define the size of the focused image. It is crucial to differentiate between 'intensity' (W/steradian) and 'irradiance' (W/area) for accurate radiometric analysis. Understanding the angular subtense of the star is also essential for this calculation.

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I'm trying to remember back to my undergrad physics days. Can anyone point me to a good textbook to compute the following?

Given an infrared telescope with given specifications, such as the Infrared Astronomical Satellite and a star of defined intensity in the field of view at a specific point in time, how can I compute what the in-band irradiance on the focal plane would be?

Thanks for any references.
 
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First let me sketch out a basic analysis, then provide some caveats:

If you are given the source intensity, you can calculate the power (Watts) that enters the telescope. The star is imaged to a spot of defined size (given by the optical properties of the telescope), and so you can then determine W/area of the focused image.

Now the caveats: I noticed the words 'intensity' and 'irradiance' which implies a radiometric analysis, which uses a different definition of 'intensity' than you learned in intro physics. Intensity is Watt/steradian, and you characterize the telescope in terms of angular variables- what is the angular subtense of the star? This is different than calculating the incident irradiance from the star (which is Watt/area). Either way, if you can calculate the amount of power entering the telescope and the size of the image, you are basically done.

Does this help?
 

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