Www.opticalimaging.org Tutorial on Computational Optical Imaging University of Minnesota 19-23 September David J. Brady Duke University www.disp.duke.edu.

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Presentation transcript:

Tutorial on Computational Optical Imaging University of Minnesota September David J. Brady Duke University

Lectures Computational Imaging Geometric Optics and Tomography Fresnel Diffraction Holography Lenses, Imaging and MTF Wavefront Coding Interferometry and the van Cittert Zernike Theorem Optical coherence tomography and modal analysis Spectra, coherence and polarization Computational spectroscopy and imaging

Lecture 8. Optical Coherence Tomography and Modal Analysis Optical coherence tomography and biophotonics The Constant Radiance Theorem

Imaging as photon binning

The Constant Radiance Theorem

Coherent Mode Decomposition

Transformation of W on propagation

Transformation of coherent mode distribution

Measurement and CRT

Significance if coherent modes are known

Significant if coherent nodes are unknown Coherent modes for 3D incoherent sources

Biophotonics Joseph Izatt Biophotonics Laboratory, Fitzpatrick Center for Photonics and Communication Systems Biomedical Engineering Department Duke University

Biophotonic Technologies Optical Ranging and Tomography Multiphoton Microscopy Evanescent Wave Techniques

Tissue Spectroscopy

Photon Migration

Functional Imaging

OPTICAL COHERENCE TOMOGRAPHY Transverse Resolution:  x Confocal resolving power N.A. Numerical aperture Longitudinal Resolution:  L Round-trip coherence envelope FWHM  Source bandwidth FWHM ~  m ~  m

ENDOSCOPIC OPTICAL COHERENCE TOMOGRAPHY EOCT Probe: 2 m long 2.4 mm dia Rotates Hz

Esophagus IN VIVO HUMAN ENDOSCOPIC OCT Stomach Small Intestine Colon Rectum

E - Squamous Epithelium LP - Lamina Propria MM - Muscularis Mucosa SubM - Submucosa MP - Muscularis Propria BV - Blood Vessels G - Glands D - Duct Normal Esophagus IN VIVO HUMAN UPPER ENDOSCOPIC OCT E BV SubM LP+MM MP G G D E LP+MM SubM MP Aggressive Contact Suction

B – Barrett’s Esophagus A – Adenocarcinoma CANCER IMAGING WITH ENDOSCOPIC OCT Invasive Adenocarcinoma in Barrett’s Esophagus 1 mm B A

REAL-TIME, VIDEO-CORRELATED SLITLAMP-MOUNTED OPHTHALMIC OCT 6 mm depth x 14 mm width 3.5 mm depth x 6 mm width Virtual aiming beam

REAL TIME OCT IN EXPERIMENTAL RETINAL SURGERY RPE Blood Vessel Photoreceptor Layer RFNL Ganglion Cell Layer Choriocapillaris Vitreous Ti:Sapphire Femtosecond Laser RSOD 2KHz Detector 50/50 BPF Logarithmic Demodulation Processing, Display, and Archiving CCD Illumination Sample Dichroic Mirror XY Scanning 78 D Volk Lens 0 =800 nm  =90 nm 1” H 2 O

St.15 Chick embryo Histology Real-Time OCT CARDIAC MORPHOLOGY AND DEVELOPMENT IN CHICK EMBRYOS

Theory of OCT

Interesting Mathematical Issues Can a general theory of association between optical representation parameters and digital measurements be developed? Is a general theory of imaging metrics possible? What about tissue? What are ideal optical measures of tissue?