There is a point source photon emitter (sample) which emits photons is all directions. 2 mirrors either plane or parabolic are placed above it to collect photons. 1. For parabolic mirror it's z(x,y) = -1/(4*focal length) * (x²+y²) + a, if a is the offset along the positive z axis, so if you want the focus to be at the origin of the coordinate system, use a=f. Find solid angle by this mirror placed above a sample to collect photons. And then Find collection efficiency. You can derive it analytically after proper integration. 2. Plane mirror with an angle of 55 degrees from the sample plane. Find solid angle and collection efficiency for this one too. show by how much will parabolic mirror collect more than plane since sample is placed at focus of parabolic mir so rays become parallel which is not necessary the case in plane.

There is a point source photon emitter (sample) which emits photons is all directions. 2 mirrors either plane or parabolic are placed above it to collect photons. 1. For parabolic mirror it's z(x,y) = -1/(4focal length) (x²+y²) + a, if a is the offset along the positive z axis, so if you want the focus to be at the origin of the coordinate system, use a=f. Find solid angle by this mirror placed above a sample to collect photons. And then Find collection efficiency. You can derive it analytically after proper integration. 2. Plane mirror with an angle of 55 degrees from the sample plane. Find solid angle and collection efficiency for this one too. show by how much will parabolic mirror collect more than plane since sample is placed at focus of parabolic mir so rays become parallel which is not necessary the case in plane.