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Advanced Optical Microscopy lecture 4. February 2013 Kai Wicker. Exam: written exam 26 February 2013 exact time and place will be announced by email.
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Advanced Optical Microscopylecture4. February 2013Kai Wicker
Exam:written exam26 February 2013exact time and place will be announced by email
Today:The quantum world in microscopy1. Photon anti-bunching2. Interaction-free measurements3. Entangled photons, parametric down-conversion4. Beating shot-noise5. Entangled two-photon microscopy
Normal fluorescence Jablonski diagram Absorption… … and spontaneous emission
Photon anti-bunching:- only 1 photon per emitter and excitation pulse - sub-Poissonian (!) statistics 1.0 anti-bunching
Possible applications of photon anti-bunching:- single molecule localisation: is it really just one single molecule?- super resolution imaging exploiting sub-Poissonian statistics
Super resolution imaging exploiting sub-Poissonian statistics a) Pulsed excitation and synchronised detection b) + d) Two-pixel correlations c) + e) Three-pixel correlations
Super resolution imaging exploiting sub-Poissonian statistics a) + d) Conventional fluorescence image b) + e) Second order anti-bunching c) + f) Third order anti-bunching
Fabry-Perot resonator Mirror Transmitted light Reflected light
Fabry-Perot resonator Mirror Transmitted light Transmitted light Reflected light Transmitted light Reflected light
Fabry-Perot resonator Mirror
Fabry-Perot resonator Mirror opposite phase cancellation
Fabry-Perot resonator Case 1 Onemirror Case 2 Twomirrors, resonator Interaction-freemeasurement Case 3 Twomirrorswithobstacle
Experiment: Imaging photographic film withoutexposingitto light „sample“-film „detector“-film scanarea
Experiment: Imaging photographic film withoutexposingitto light
parametric down-conversion Position entanglement! Image: European Space Agency
Beating shot-noise Position entanglement! Intensity distributions are correlated, even down to Poisson noise!! Image: Alessandra Gatti, Enrico Brambilla, and Luigi Lugiato, “Quantum Imaging,” 2007
Beating shot-noise Illumination Quantum image: Classical image: Not correlated! Identical! Weakly absorbing object
Beating shot-noiseimaging a weakly absorbing object Simulation Quantum image: SNR 3.3 Sample Classical image: SNR 1.2
Beating shot-noiseimaging a weakly absorbing object Experiment Sample: π-shapedtitaniumdeposition Classical image: SNR 1.2 Quantum image: SNR 1.7
Normalfluorescence Jablonski diagram NO absorption…
2-photonfluorescence Jablonski diagram 2-photon absorption… … and spontaneous emission
2-photonfluorescence • Classical: • 2-photon absorption requires two photons to be present simultaneously. • The probability for this growsquadratically with intensity. • It will only occur where the local intensity is high. • Quantum: • 2-photon absorption requires two photons to be present simultaneously. • This isachievedthrough temporal coincidenceofentangledphotons.
Entangled two-photon microscopy Comparissonof different imagingmodalities: