課程名稱： 波動學於生醫影像之應用 課程編號：631U8240
英文名稱：Wave Physics for Biomedical Imaging
學分數: 3 學分 講演: 3 小時 實習: 小時
修習年級： 大學部_3,4__年級 碩士班 博士班
預修科目：普通物理，工程數學 同修科目：
□必修 選修：所屬領域 □ 機械與系統 □ 量測與控制
□ 材料與程序 一般領域 (勾選)
課程簡介：
To introduce students in medical imaging to basic concepts in wave physics and the analysis of optical wavefields. To utilize these principles to understand existing and developing imaging techniques that employ coherent radiation. Special topics include X-ray phase-contrast imaging, diffraction tomography and photoacoustic imaging.

課程預定涵蓋內容：

Review of basic EM theory
Integral and differential representations of Maxwell’s equations
Time-harmonic fields
Scalar wave equations
Solution of scalar wave equations
Huygens’ principle, Green’s Theorem
Primary and secondary sources of a scattering problem
Weak scattering and physical optics assumptions
Time-harmonic plane-wave spectra of solutions to the homogeneous wave equation
Inverse source and inverse scattering problems
Nonlinearity of the inverse scattering problem
Information content of the scattered field
Backpropagation of wavefields
Generalized holography
Diffraction tomography
Propagation of the optical wavefield
Scalar theory of optical problems
Angular spectrum representation in angular variables
Validity of angular spectrum representation
Paraxial solutions to the homogeneous Helmholtz equation
Eikonal Theory (Geometrical Optics)
Rays as wavefront normals
Some theorems concerning rays
Eikonal propagation
Validity of geometrical optics
Scalar diffraction theory
Approximations of Fresnel and Fraunhofer
Image formation with partially coherent light
Elementary concepts of optical coherence
Addition of optical fields
Communication theory techniques
Differences between the analysis of coherent and incoherent imaging systems
Phase-contrast imaging
評分標準：1.作業 40% ; 2.期中考 30% ; 3.期末告30%
參考書
或講義 1. Born and Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th Ed. 1999.
2. Kak and Slaney, Principles of Computerized Tomographic Imaging, 2001.

授課教師：周呈霙 chengying@ntu.edu.tw
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