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2010 Nano-Biophotonics Summer School @ UIUC Lecture 2 - 2D/3D Fourier transforms & Electromagnetic fields/ Lorentz-Drude model

By Gabriel Popescu

Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL

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So far, we have discussed Fourier transformations involving one-dimensional 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 Maxwell�s Equations in differential forms. We discuss these equations in different representations, i.e. space-time (r, t), space-frequency (r, �), and wavevector-frequency (k, �).


Edited and Uploaded by Omar Sobh, University of Illinois at Urbana-Champaign



University of Illinois at Urbana-Champaign, Urbana, IL

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