Chapter 15: Diffraction Tomography

Learning Objectives

• Derive the Fourier slice theorem and implement filtered back-projection for computed tomography
• Apply the Fourier diffraction theorem to reconstruct the contrast function from k-space samples
• Construct composite k-space coverage from multi-frequency Ewald spheres and analyze range-dependent resolution
• Implement direct inversion via gridding plus inverse FFT and NUFFT for irregular k-space sampling
• Analyze near-field phase corrections and Fresnel-zone imaging for XL-MIMO configurations