2. (a) Describe how the ABCD transmission matrix connects the initial and final rays through
a biconvex lens with the focal length f. (Explain any notation you use.)
(b) Use the rays illustrated in the diagram to help determine the ABCD transmission
matrix from the lens in the paraxial regime.
(c) A laser beam is focused to a diffraction limited spot of 1 um diameter. If the total
power of the laser is 1kW, what is the pressure at the focal point?
(d) It is the intention to produce interference fringes by illuminating a double slit (i.e.
Young's experiment) with light at mean wavelength of 500 nm, having a linewidth of
2.5 x 10-3 nm. Calculate the coherence length. At approximately what optical path
length difference can you expect the fringes to vanish?
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of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
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