Module 4: Interferometry
  Problems
 


5. Discuss evaluation of temperature from interferometric fringes when the wall boundary condition is one of prescribed temperature. Repeat this calculation for a wall boundary condition of constant heat flux.

6. A rectangular region is fully insulated and carries a heat generating fluid. Discuss appearance of infinite and wedge fringe patterns as a function of time.

7. Develop computer programs for tomographic inversion of interferometric data using convolution back projection and algebraic reconstruction techniques. Here, the test data can be generated from a synthetic three dimensional steady temperature field. Given this function T(x,y,z), projections can be obtained by numerically integrating temperature in the viewing direction over the chosen physical domain. With the projection data combined with the tomographic inversion algorithm, the original temperature field can be reconstructed. Inversion errors can be estimated by comparing the original field against the reconstructed.

8. Self-study: Review related methods such as phase-shifting interferometry, speckle interferometry, holography, and holographic interferometry.