
[Illinois] ECE 460 Optical Imaging Fall 2011 Lecture 2: Math Toolbox I
26 Aug 2011  Online Presentations  Contributor(s): Gabriel Popescu
Scalar fields, geometrical optics, wave optics, Gaussian beams, Fourier optics, spatial and temporal coherence, microscopy, interference chromatic and geometric aberrations, Jones matrices, waveplates, electromagnetic fields, and electrooptic and acoustooptic effects. Laboratory covers numerical signal processing, spectroscopy, ray optics, diffraction, Fourier optics, microscopy, spatial coherence, temporal coherence, polarimetry, fiber optics, electrooptic modulation and acoustooptic …

[Illinois] ECE 460 Optical Imaging Fall 2011 Lecture 1: Introduction
26 Aug 2011  Online Presentations  Contributor(s): Gabriel Popescu
Scalar fields, geometrical optics, wave optics, Gaussian beams, Fourier optics, spatial and temporal coherence, microscopy, interference chromatic and geometric aberrations, Jones matrices, waveplates, electromagnetic fields, and electrooptic and acoustooptic effects. Laboratory covers numerical signal processing, spectroscopy, ray optics, diffraction, Fourier optics, microscopy, spatial coherence, temporal coherence, polarimetry, fiber optics, electrooptic modulation and acoustooptic …

2010 NanoBiophotonics Summer School @ UIUC Lecture 36  Nanoscale fluctuations in live cells
27 Jan 2011  Online Presentations  Contributor(s): Gabriel Popescu

2010 NanoBiophotonics Summer School @ UIUC Lecture 2  2D/3D Fourier transforms & Electromagnetic fields/ LorentzDrude model
25 Sep 2010  Online Presentations  Contributor(s): Gabriel Popescu
So far, we have discussed Fourier transformations involving onedimensional functions. Of course, in studying imaging, the concept
must be generalized to 2D and 3D functions. For example, diffraction and 2D image formation are treated efficiently via 2D Fourier
transforms, while light scattering and tomographic reconstructions require 3D Fourier transforms.
Also In this section we review the main features of Maxwellâ��s Equations in differential forms. We discuss these equations in …

2010 NanoBiophotonics Summer School @ UIUC Lecture 4  Gaussian beam propagation  Elastic light scattering  Dynamic light scattering
25 Sep 2010  Online Presentations  Contributor(s): Gabriel Popescu
Often, experiments involve light beams. A light beam can be defined as a distribution of field that fulfills the approximation in Eq. 20,
i.e. is characterized by a dominant wave vector component, k(z) >> k(x) , k(y) . A beam is, therefore, the spatial equivalent of quasimonochromatic
light, where the field is characterized by a dominant (temporal) frequency component.
A Gaussian beam, such as that delivered by a single (spatial) mode laser, exhibits a field distribution described by a …

Illinois iOptics Lecture 3: A tissue scatteringphase theorem
17 May 2010  Online Presentations  Contributor(s): Gabriel Popescu
We have derived two mathematical relationships between quantitative phase images of thin tissue slices and the scattering parameters of the bulk, i.e. scattering mean free path, ls, and anisotropy factor, g. The ls turns out to be inversely proportional to the meansquared phase shift and g is related to the phase gradient. These formulas, referred collectively to as the scatteringphase theorem, allow for mapping large crosssections of tissues in terms of scattering properties and may offer a straight forward experimental alternative to simulations of tissue scattering. Experimentally, we demonstrated this new approach via experiments on mouse organ tissue slices and human cancer biopsies.

Illinois 2009 nanobiophotonics Summer School, Lecture 3: Elastic Light Scattering
20 Oct 2009  Online Presentations  Contributor(s): Gabriel Popescu
Elastic Light Scattering
Topics:
Light Scattering by Inhomogeneous Media
Scattering on Single Particles
Scattering on Simple Particles
Rayleigh Scattering
The Born Approximation
The Spatial Correlation Function
Single Particle Under Born approximation
Ensemble of Particles
Mie Scattering
Multiple Light Scattering
The Transport Equation
The Diffusion Approximation
Solutions of the Diffusion Equation
Diffusion of Light in Tissue
Video Processing and ...