Stargazing Compute In-Band Irradiance with an Infrared Telescope

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To compute in-band irradiance with an infrared telescope, one must first determine the power entering the telescope based on the source intensity of the star. The star's image size, dictated by the telescope's optical properties, allows for the calculation of watts per area for the focused image. It's crucial to distinguish between 'intensity' and 'irradiance,' as they have different definitions in radiometric analysis; intensity refers to watts per steradian, while irradiance refers to watts per area. Understanding the angular subtense of the star is essential for accurate calculations. This foundational approach should aid in determining the in-band irradiance on the focal plane.
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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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