# Response function of LIGO

"Laser Interferometer Gravitational-wave Observatory" (LIGO) is a marvel of precise engineering and the world's largest gravitational wave observatory. LIGO, which consists of two massive laser interferometers separated by 3000 kilometers, uses the physical characteristics of light and space to detect and explain the sources of gravitational waves (GW). https://www.ligo.caltech.edu/page/what-is-ligo

1. What is mean by response or transfer function and what is LIGO  detector's response function? (Mathematical Explanation will be preferred)

• A search for "LIGO detector response function" gives a plethora of scientific papers which deal with the calibration of the LIGO detectors. What exactly are you looking for at what level? Also you seem to quote a text without giving source of it. Please link the source you quote. Jan 9, 2022 at 13:08
• @planetmaker I added the source, I'm looking for some mathematical concept behind this response function? What mathematical functions are used ? Jan 9, 2022 at 16:06
• Do you know what a response or transfer function is in physics for a detector? Or are you asking about the details for this particular instrument? Your question is quite unclear on this... What is your prior knowledge on this matter? Please elaborate :) Jan 9, 2022 at 16:59
• @planetmaker kindly see my edited question. Jan 9, 2022 at 19:43
• @JunaidIhsan in order to write an answer that is helpful, it helps to explain how much you are or are not familiar with the concept of a transfer function in general. It could take a full chapter of a book to cover everything that might cover LIGO's transfer function alone, and that's too much, and after writing a long answer, you might comment "No, that's not what I want to know" or "I know that already" so folks may just not post anything. There are whole books and semester courses on transfer functions!
– uhoh
Jan 9, 2022 at 20:23