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Credit: 1 course unit
Elective course
Catalog
Description:
A modern introduction to the physical principles of optical
imaging with biomedical applications. Propagation and interference of
electromagnetic waves. Geometrical optics and the eikonal.
Plane-wave expansions, diffraction and the Rayleigh
criterion. Scattering theory and the Born approximation. Introduction to
inverse problems. Multiple scattering and radiative
transport. Diffusion approximation and physical
optics of diffusing waves. Imaging in turbid media. Introduction to
coherence theory and coherence imaging. Applications will be chosen from
the recent literature in biomedical optics.
Prerequisites: EE 310 and EE 325 or equivalent
Textbook(s) and/or
Other Required Materials:
Class notes, handouts and papers.
Course Objectives
and Relationship to Program Educational Objectives:
This course is taught at the graduate level and may be taken as a
senior-level elective for bioengineering majors. The goal is to provide a
rigorous introduction to the mathematical and physical principles of
biomedical optical imaging.
Topics Covered:
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Review of
Maxwell's equations, boundary conditions, conservation laws
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Vector and
scalar wave equations, integral theorems, Huygen's
principle
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Geometrical
optics and the eikonal, interference,
refraction
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Plane-wave
expansions, diffraction, Rayleigh criterion
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Scattering,
optical theorem, Born approximation
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Introduction
to inverse problems, Radon transform, inverse scattering and imaging in
transparent media, applications to computational microscopy
·
Multiple
scattering and the radiative transport equation
·
Diffusion
approximation, boundary conditions
·
Physical
optics of diffusing waves, applications to photodynamic therapy
·
Imaging in
turbid media, applications to diffusion tomography
·
Introduction
to coherence theory
·
Coherence
imaging, applications to optical coherence tomography
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Class/Laboratory
Schedule:
Lecture: 3 hr/week
Contribution
towards Professional Component:
100% Engineering science
Contribution
towards Program Outcomes:
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Multidisciplinary
Ability
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Med.
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Problem Solving
Approach
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High
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Problem Solving
Methods
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Low
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Experimentation
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Low
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Design
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Low
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Professional
Orientation
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Low
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Person Preparing
Description and Date:
John Schotland
July 2007
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