An Optical System is Used to Monitor the Movement of Rats - Ultra-Cold Quantum Gases (Condensates) - Linear Polarized Laser Beam - Engineering Assignment Help

Assignment Task:

Question 1: 
At the University, an optical system is used to monitor the movement of rats. The optical system consists of two biconvex lenses and a camera without a lens to observe the rats. The system has a lens (lens) with a focal length of 30 cm placed 40 cm from the mice and before the camera sits an eyepiece with a focal length of 20 cm. By varying the distance between lens and eyepieces, you can change the focus of the optical system. About the distance between these two lenses (lens and eyepiece) are varied between: 
a) 1.5 m; 
b) 1.3 m; and 
c) 1.1 m you get three configurations of the optical system. For each configuration (three pieces) specify: where the final image ends, ie the camera's detector should be placed; and what the total magnification will be. Are the images straight or inverted? Are they real or virtual? 
d) What does an aperture stop have for function in an optical system? Give an example.

Question 2: 
Ultra-cold quantum gases (condensates) have exceptional properties. In a so-called Bose-Einstein condensate, the inner energy of the atoms drops and falls into the same quantum mechanical state. In order to make these condensates used e.g. rubidium or cesium, where cesium has a spectral transition at 852 nm, that is, if cesium atoms are in an excited state and fall to the ground state they emit IR light of 852 nm wavelength. A small dot of cesium atoms emits light, and 1.0 dm above this point collection (along the vertical line), an irradiance of 1.2 nW / cm2 is measured . 

Write the equations for the electric and magnetic field at a distance greater than 1 dm in length same vertical line. The coordinate system may be defined in any way, but the definition must be specified.

Question 3:
A linear polarized laser beam with the irradiance 1.0 W / cm2 enters a vacuum chamber (from air) through a window made of glass with refractive index 1.53 for the current wavelength. The beam is coming out of the chamber through another (identical) window on the other side. Then retro-reflected (normally incident) the beam of a metallic mirror of known reflectance (R mirror = 0.994). The beam then goes back through the chamber (through the two windows) and comes out on that side, see figure.

Question 4:
A flat monochromatic wave is defined as. Wavelength is 614 nm.

a) What color do your visual receptors experience that the wave has? Which receptor is it that detects what we define as "color"? How many receptors a normal person has of each variety? Give a short description, max half A4!

The wave falls into a single gap and after the gap is a positive lens with a focal length 40 cm placed. In the lens focal plane, the pattern that arises from the gap is studied. The pattern shows clearly the other side tip falls 3.4 mm from the central peak. With a power meter is measured at this side peak an irradiance of 100 nW / cm2.

b) If the side peak has an irradiance of 100 nW / cm2, how large must the irradiance be at central peak be?

Question 5: 
The prism shown in the figure on the right side has a refractive index of 1.66 and the angles A are 25 °. Two light rays, m and n, are parallel when they hit the prism. 
a) What is the angle between the rays m and n after they have broke the prism? Enough with the definitions.

Question 6:
The two nearby violet emission lines in aluminum are studied with a reflection grid. It 10 The mm wide grid has a total of 6000 scratches. 

a) If the light falls to the grating with an angle of incidence of 20 °, which arrangements can then be studied and at what approximate angles do they end up? For all these possible angles, whatever the angle separation between the two emission lines? Will it be possible to dissolve the lines in any of the schemes, and in which case in which or which? 

b) The sun's light contains violet wavelengths that have a shorter wavelength than blue and should then according to the Rayleigh criterion, more than blue is spread. Give possible reasons why we are experiencing the sky is blue instead of violet.

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