What is my PhD thesis about?
My PhD thesis revolves around optical beam characterisation (download it here). In particular, my research lines include:
- Phase-space tomography of the Wigner distribution (WD):
- the experimental and simulated reconstruction of the WD
for arbitrary optical beams,
- the implementation of experimental optical setups able to obtain the WD
projections (Gyrator transform and fractional Fourier transform), from
which the WD can be reconstructed, and
- the design of fast algorithms in order to achieve almost real-time
reconstructions of the WD.
- Moments of the WD:
- obtention of the analytical expression for the arbitraty-order moment of
the WD for an optical signal expanded in a complete set of orthonormal 2D
functions (Hermite-Gaussian, Laguerre-Gaussian or Hermite-Laguerre-Gaussian
modes), and
- application of the second-order moments to the selection of the basis in
which expand a signal in order to minimize the number of non-null
coefficients.
- Mutual intensity recovery:
- obtention of the mutual intensity of a spatially partially coherent
signal using only intensity measurements, without need for the WD
reconstruction.