May I ask a stupid question? In order to speed up this process you'd need to buy more of the broadcom spectrometers which are quite expensive.

So instead of buying more spectrometers, is there a way to use multiple fibre cables but make them different length so the single spectrometer takes longer to process the image, but the "exposure" of all fibre cables would be at the same time. Would it be possible to stack the signal in a way that the light of the first fibre cable arrives at the spectrometre, then there is a short pause, then the light of the second fibre cable arrives at the spectrometer, etc.

I imagine it like plumbing if you have two toilets attached to the same canalisation, and you flush both toilets at the same time but the length of each toilet's pipe to the main canalization pipe is done in a way that the water of the first toilet has fully passed before the water of the second toilet arrives.

To put it into numbers: toilet1 pipe length would be 1m and toilet2 pipe length would be 10m because before both pipes join and go into the canalisation. Water travels at a certain speed in the pipe, which would make this possible.

Can the same principle be used for fibre cables? If yes, it should be possible to construct a 100x100 fibre cable sensor matrix using large fibre cable lengths but only a single spectrometer.

Edit: I did some math and it seems the second fibre cable needs to be 40.000km long so that the singal of the first fibre cable reaches the sensor after the signal of the second fibre cable has passed the sensor (at 0.2s).

  speed of light      
  in vacuum 299.792.458,00 m/s    
  in fibre 66,00 % percent    
   197.863.022,28 m/s

  exposure per pixel 0,2 s

  exposure start time   distance traveled   
  fiber 1 0 s 0   
  fiber 2  0,2 s 39.572.604,46 meters 39.572,60 kilometers