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More Non-linear Microscopy. Nonlinear Polarization. P = aE + dE 2 + d'E 3 +. E x = E xo cos (2 p ft ) = E xo cos ( w t ). P x = aE xo cos ( w t ) + dE 2 xo cos 2 ( w t ). First experimental observation of SHG (1962). Right after invention of ruby laser.
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Nonlinear Polarization P = aE + dE2 + d'E3 + . . . Ex = Exo cos(2pft) = Exo cos (wt) Px = aExo cos (w t) + dE2xo cos2 (w t)
First experimental observation of SHG (1962) Right after invention of ruby laser
Laser scanning Nonlinear optical microscope 850 nm Collect SHG, TPEF Simultaneously Or TPEF SHG is coherent: Forward propagates
Video Rate epi- CARS for Tissue Imaging Evans and Xie
TPEF and SHG Photophysics Intensity ~ Power2 Intensity ~ concentration Lifetime ~ ns Stoke shift Intensity ~ Power2 Intensity ~ concentration2 Instantaneous No loss of energy
TPEF and SHG “Spectra” • SHG “spectrum” mirrors • Two-photon spectrum: • Resonance enhancement • 2) TPEF intensity >> SHG TPEF Mertz, BJ 2001
Dipole Emission Patterns for scattering particles Xie J. Phys. Chem Many dipoles aligned: All forward directed l Only forward direction for objects axially longer than wavelength
Calculations show that SHG emitted in two lobes Mertz, BJ 2001
Forward/Backward Fractions SHG in Tendon: Wild type vs OI OI/OI WT Fw Fw Bw Bw WT larger fibers, also brighter, F/B Ratio?
60 A B 50 Percent Scattered Back 40 30 image plane 20 10 0 0 50 100 150 200 250 Thickness (µm) Real Tissue: Only Scattering Matters Thick tissues, initial photon is multiply scatttered Some goes backwards direction Like SHG Backscattered collection Red, Black: experimental and Monte Carlo simulations From intralipid phantom Blue=mouse
0 mm deep 30 mm deep A B C 50 mm 70 mm deep D F 100 mm 100 mm deep E 50 mm 100 mm 100 mm 100 mm 100 mm 20 mm CARS Image of Hairless Mouse Ear Corneacytes Sebaceous glands Adipocytes Evans and Xie PNAS