Abstract
In theoretical investigations, we review several nonlinear optical approaches towards subdiffraction-limited resolution in label-free imaging via coherent anti-Stokes Raman scattering (CARS). Using a density matrix model and numerical integration, we investigate various level schemes and combinations of the light fields that induce CARS along with additional control laser fields. As the key to techniques that gain far-field resolution below the diffraction limit, we identify the inhibition of the buildup of vibrational molecular coherence via saturation or depletion of population (Beeker et al. Opt Express 17:22632–22638, 2009) or the generation of Stark broadening and spatially dependent Rabi sideband generation (Beeker et al. Phys Rev A 81(1), 2010). Depending on the coherence and population decay rates offered by a particular molecular energy level scheme, we identify various different regimes. In the first case, where an additional state (called the control state) and a vibrational state are able to rapidly exchange population via incoherent processes, a prepopulation of the upper vibrational state inhibits the buildup of vibrational coherence. With increasing control laser intensity, this suppresses CARS emission via an incoherent, saturation type of nonlinear process. Using an intense, donut-shaped control laser beam, similar to stimulated emission depletion (STED) microscopy, this can suppress CARS emission from all sample locations except within a subdiffraction-sized range around the central node. Scanning the control beams across the sample provides subdiffraction-limited resolution imaging. An alternative, which does not require a rapid exchange of population with the control state, applies a control beam that only partially depletes the vibrational ground state. Thereby, a CARS point spread function containing a subdiffraction-limited component is generated. Subdiffraction images can then be retrieved through deconvolution. Further approaches are based on the coherent, nonlinear, resonant response of the sample. In this case, CARS signal depletion by Stark splitting of the weakly populated upper vibrational state or the observation of spatially dependent Rabi oscillation may increase the resolution beyond the diffraction limit.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hell SW, Wichmann J (1994) Breaking the diffraction resolution limit by stimulated-emission—stimulated-emission-depletion fluorescence microscopy. Opt Lett 19(11):780–782
Klar TA et al (2000) Fluorescence microscopy with diffraction resolution barrier broken by stimulated emission. Proc Natl Acad Sci U S A 97(15):8206–8210
Betzig E et al (2006) Imaging intracellular fluorescent proteins at nanometer resolution. Science 313(5793):1642–1645
Huang B et al (2008) Whole-cell 3D STORM reveals interactions between cellular structures with nanometer-scale resolution. Nat Methods 5(12):1047–1052
Rust MJ, Bates M, Zhuang XW (2006) Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM). Nat Methods 3(10):793–795
van de Linde S et al (2011) Direct stochastic optical reconstruction microscopy with standard fluorescent probes. Nat Protoc 6(7):991–1009
Zenobi R (2008) Analytical tools for the nano world. Anal Bioanal Chem 390(1):215–221
Rittweger E et al (2009) STED microscopy reveals crystal colour centres with nanometric resolution. Nat Photonics 3(3):144–147
Wildanger D, Maze JR, Hell SW (2011) Diffraction unlimited all-optical recording of electron spin resonances. Phys Rev Lett 107(1):017601
Dyba M, Hell SW (2002) Focal spots of size lambda/23 open up far-field florescence microscopy at 33nm axial resolution. Phys Rev Lett 88(16):163901
Andrews JR, Hochstrasser RM, Trommsdorff HP (1981) Vibrational transitions in excited-states of molecules using coherent Stokes Raman-spectroscopy—application to ferrocytochrome-C. Chem Phys 62(1–2):87–101
Fu Y et al (2006) Characterization of photodamage in coherent anti-Stokes Raman scattering microscopy. Opt Express 14(9):3942–3951
Lin CY et al (2011) Picosecond spectral coherent anti-Stokes Raman scattering imaging with principal component analysis of meibomian glands. J Biomed Opt 16(2):021104
Nikolaenko A, Krishnamachari VV, Potma EO (2009) Interferometric switching of coherent anti-Stokes Raman scattering signals in microscopy. Phys Rev A 79(1):13823
Raghunathan V, Potma EO (2010) Multiplicative and subtractive focal volume engineering in coherent Raman microscopy. J Opt Soc Am A 27(11):2365–2374
Milonni PW, Eberly JH (2010) Lasers physics. Wiley, Hoboken, NJ, xiv, 830p
Beeker WP et al (2010) Spatially dependent Rabi oscillations: an approach to sub-diffraction-limited coherent anti-Stokes Raman-scattering microscopy. Phys Rev A 81(1):012507
Beeker WP et al (2009) A route to sub-diffraction-limited CARS microscopy. Opt Express 17(25):22632–22638
Cleff C et al (2013) Stimulated-emission pumping enabling sub-diffraction-limited spatial resolution in coherent anti-Stokes Raman scattering microscopy. Phys Rev A 87(3): 033830(1)–033830(9)
Gardner JR et al (1993) Suboptical wavelength position measurement of moving atoms using optical-fields. Phys Rev Lett 70(22):3404–3407
Shen YR (1984) Principles of nonlinear optics. Wiley, New York
Deak JC et al (2000) Ultrafast infrared-Raman studies of vibrational energy redistribution in polyatomic liquids. J Raman Spectrosc 31(4):263–274
Golonzka O et al (2001) Coupling and orientation between anharmonic vibrations characterized with two-dimensional infrared vibrational echo spectroscopy. J Chem Phys 115(23):10814–10828
Laubereau A et al (1978) Vibrational population lifetimes of polyatomic-molecules in liquids. Chem Phys 31(3):335–344
Asbury JB et al (2003) Hydrogen bond dynamics probed with ultrafast infrared heterodyne-detected multidimensional vibrational stimulated echoes. Phys Rev Lett 91(23):237402
de Vivie-Riedle R, Troppmann U (2007) Femtosecond lasers for quantum information technology. Chem Rev 107(11):5082–5100
Wurzer AJ et al (1999) Comprehensive measurement of the S-1 azulene relaxation dynamics and observation of vibrational wavepacket motion. Chem Phys Lett 299(3–4):296–302
Brion E et al (2007) Universal quantum computation in a neutral-atom decoherence-free subspace. Phys Rev A 75(3):032328
Hein B, Willig KI, Hell SW (2008) Stimulated emission depletion (STED) nanoscopy of a fluorescent protein-labeled organelle inside a living cell. Proc Natl Acad Sci U S A 105(38):14271–14276
Ventalon C et al (2004) Coherent vibrational climbing in carboxyhemoglobin. Proc Natl Acad Sci U S A 101(36):13216–13220
Cleff C et al (2012) Ground-state depletion for subdiffraction-limited spatial resolution in coherent anti-Stokes Raman scattering microscopy. Phys Rev A 86(2):023825(1)–023825(11)
Offerhaus HL (2011) Private communication
Boller KJ, Imamoglu A, Harris SE (1991) Observation of electromagnetically induced transparency. Phys Rev Lett 66(20):2593–2596
Schouwink P et al (2002) Dependence of Rabi-splitting on the spatial position of the optically active layer in organic microcavities in the strong coupling regime. Chem Phys 285(1):113–120
Witte T et al (2004) Femtosecond infrared coherent excitation of liquid phase vibrational population distributions (v > 5). Chem Phys Lett 392(1–3):156–161
Graener H, Laubereau A (1987) Ultrafast vibrational-energy transfer of polyethylene investigated with picosecond laser-pulses. Chem Phys Lett 133(5):378–380
Laubereau A, Kaiser W (1978) Vibrational dynamics of liquids and solids investigated by picosecond light-pulses. Rev Mod Phys 50(3):607–665
Fendt A, Fischer SF, Kaiser W (1981) Vibrational lifetime and Fermi resonance in polyatomic-molecules. Chem Phys 57(1–2):55–64
Graener H, Laubereau A (1982) New results on vibrational population decay in simple liquids. Appl Phys B 29(3):213–218
Okamoto H, Yoshihara K (1991) Femtosecond time-resolved coherent Raman-scattering from beta-carotene in solution—ultrahigh frequency (11-Thz) beating phenomenon and subpicosecond vibrational-relaxation. Chem Phys Lett 177(6):568–572
Ambroseo JR, Hochstrasser RM (1988) Pathways of relaxation of the N-H stretching vibration of pyrrole in liquids. J Chem Phys 89(9):5956–5957
Heilweil EJ, Cavanagh RR, Stephenson JC (1987) Population relaxation of Co(V = 1) vibrations in solution phase metal-carbonyl-complexes. Chem Phys Lett 134(2):181–188
Tokmakoff A, Sauter B, Fayer MD (1994) Temperature-dependent vibrational-relaxation in polyatomic liquids—picosecond infrared pump-probe experiments. J Chem Phys 100(12):9035–9043
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media, LLC
About this protocol
Cite this protocol
Boller, KJ. et al. (2014). Nonlinear Optics Approaches Towards Subdiffraction Resolution in CARS Imaging. In: Fornasiero, E., Rizzoli, S. (eds) Super-Resolution Microscopy Techniques in the Neurosciences. Neuromethods, vol 86. Humana Press, Totowa, NJ. https://doi.org/10.1007/978-1-62703-983-3_12
Download citation
DOI: https://doi.org/10.1007/978-1-62703-983-3_12
Published:
Publisher Name: Humana Press, Totowa, NJ
Print ISBN: 978-1-62703-982-6
Online ISBN: 978-1-62703-983-3
eBook Packages: Springer Protocols