Title: Femtosecond Coherent Control for Precision Nonlinear Spectroscopy
1Femtosecond Coherent Control for Precision
Nonlinear Spectroscopy
D. Oron, N. Dudovich and Y. Silberberg, Physics
of Complex Systems Weizmann Institute of
Science Rehovot, Israel
CREOL, April 2004
2Narrow transitions induced by broad band pulses
Loss of spectral resolution
3Quantum Coherent Control
4Simplest nonlinear interactionTwo photon
absorption
Nonresonant TPA
I
5Nonresonant TPA
All the paths are in-phase
Transform-limited pulses maximize transition
rates Antisymmetric phase functions maintain
efficiency
6Energy level structure of Cesium
7Nonresonant TPA Control Experimental results
Step location/bandwidth
Antisymmetric phase has no effect on transition
probability Specific spectral phase mask can
annihilate the absorption rate ?Selective
excitation
Meshulach Silberberg, Nature, 396, 239
(1998),Phys. Rev. A 60, 1287 (1999)
8Two photon absorption
II
9Angular momentum control
Px
Py
ExEx transitions
Brixner and Gerber, Opt. Lett. 26, 557 (2002)
Two degenerate orthogonal states can be
separately controlled
10Separate control of non-interfering paths
?
Px
Py
Ey
Ex
Phase and polarization
Phase mask
Ex
Ex
N. Dudovich, D. Oron and Y. Silberberg, accepted
for publication in Phys. Rev. Lett. (2004).
11Nonlinear laser scanning microscopy
- Multiphoton microscopy enables inherent optical
sectioning capabilities due to nonlinear nature
of the process. Signal originates only from the
focal spot. - NIR illumination enables imaging through
scattering samples - Typically applied as laser scanning microscopy in
which the sample is scanned point by point. - First demonstrations
- CARS microscopy Duncan et al., Opt. Lett. 7, 350
(1982) - two-photon fluorescence microscopy Denk et al.,
Science 248, 73 (1990). - Extended to coherent processes
- SHG Peleg et al., Bioimaging 4, 215 (1996).
- THG Barad et al., Appl. Phys. Lett. 70, 922
(1997). - CARS (revisited) Zumbucsh et al., Phys. Rev.
Lett. 82, 4142 (1999)
12Laser scanning microscopy - setup
Photomultiplier tube
lock-in amplifier
computer
filter
condenser
z
sample
y
x
microscope objective
Optical scanners
femtosecond laser source
13THG images of biological specimen
fossil
Yeast cell
Mouse bone
Xenopus embryo
Drosophila ovary
14Optical sectioning capabilities
Optical sections of a neuron
Sections separated by 1mm
Yelin et al., Appl. Phys. B 74, S97 (2002)
15Coherent Anti-Stokes Raman Scattering (CARS)
- In a CARS process a pump and a Stokes photon
coherently excite a vibrational level. A probe
photon interacts with the excited level to emit a
signal photon. - Large, directional and coherent signal (compare
to Raman scattering). - Attractive for microscopy applications
- -provides a vibrational imaging with 3D
- sectioning capability.
16Single Pulse CARS
When the pulse duration is shorter than the
vibrational period of the molecule, the CARS
process can be induced within a single pulse.
The spectral resolution of this process is
limited by the pulse bandwidth High nonresonant
background
17Resonant vs. Nonresonant CARS
Resonant CARS is always accompanied by a
nonresonant background
Nonresonant background is maximal for transform
limited pulses (highest peak intensity)
Usually dealt with by using longer pulses and by
polarization techniques
18CARS Selective Excitation
Transform-limited pulses maximize transition
rates Periodic phase functions maintain
efficiency
Weiner et al., Science 273, 1317 (1990) Oron et
al., Phys. Rev. A 65, 043408 (2002) Gershgoren et
al., Opt. Lett. 28, 361 (2003)
19Single-pulse CARS with periodic phase
20Single-pulse CARS with periodic
phaseSpectroscopy by selective excitation
Spectral phase
Temporal profile
Population amplitude (monitor 577cm-1 level)
21Single-pulse CARS experimental setup
N. Dudovich, D. Oron and Y. Silberberg, Nature
418, 512 (2002).
22CARS spectroscopy
Spectrocopy in the fingerprint region
Modulated spectral phase function
t
- Reduced nonresonant background
- Spectral resolution 30 cm-1, 70 times the pulse
band width
N. Dudovich, D. Oron and Y. Silberberg, J. Chem.
Phys. 118, 9208 (2003).
23Multiplexed CARS
Measured signal is heterodyned with the
nonresonant background
From Muller et al., JPC B 106, 3715 (2002)
24Single-pulse Multiplexed CARS
25Experimental set-up phase and polarization shaping
Brixner and Gerber, Opt. Lett. 26, 557 (2002)
26Narrow probing by an orthogonal polarization
D. Oron, N. Dudovich and Y. Silberberg, Phys.
Rev. Lett. 90, 213902 (2003).
27Narrow probing by phase and polarization shaping
Contribution only by
28Extracted Raman spectrum
D. Oron, N. Dudovich and Y. Silberberg, Phys.
Rev. Lett. 90, 213902 (2003).
29All-optical analysis of Raman spectra
Use broadband probing to induce interferences
between contributions from several Raman levels
30All-optical analysis of Raman spectra
application to spectroscopy of 1,2 dichloroethane
31Summary
- Spectral resolution orders of magnitude higher
than the pulse bandwidth is achieved in nonlinear
spectroscopy by applying spectral phase and
polarization manipulations. - Nonresonant background can be suppressed,
directed to an orthogonal channel or used as a
local oscillator, to enhanced the
signal/background ratio. - Coherent control schemes developed for simple
quantum systems can be utilized as the "building
blocks" to control various multiphoton
transitions.
32Nonresonant background reduction
glass
Ba(NO3)2
n1
n2
Relative intensity
n4
Pulse train duration fs
Nonresonant reduction by a factor of 250
Dudovich et al., J. Chem. Phys. 118, 9208 (2003)
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34Angular distribution control
Experimental results
Simulation
N. Dudovich, D. Oron and Y. Silberberg, accepted
for publication in Phys. Rev. Lett. (2004).
35(No Transcript)
36Femtosecond pulses motivations and main drawbacks
- Short duration ? Measuring fast evolving
processes. - High peak intensity ? efficient for multiphoton
transitions. - Large spectral bandwidth ? provide wide band
spectroscopic information.
However
- In resonant nonlinear transitions two time scales
are involved - ? and the life time of the resonant level (ps in
molecules or ns in atoms) - Lost of spectral resolution
- Large nonresonant signal
37Separate control of non-interfering paths
Px
Py
Ey
Ex
Phase and polarization
Phase mask
Ex
Ex
N. Dudovich, D. Oron and Y. Silberberg, accepted
for publication in Phys. Rev. Lett. (2004).
38Multiplex CARS Phase control
- Multiplex scheme narrow spectral phase
manipulation. - Sign inversion around the resonance ? narrow
enhancement of the signal can be achieved by
applying ? phase window
39CARS spectrum Narrow probing
Nonresonant Background from overlap of the pump
and probe
40Narrow probing by an orthogonal polarization
D. Oron, N. Dudovich and Y. Silberberg, Phys.
Rev. Lett. 90, 213902 (2003).
41Weiner et al., Science 273, 1317 (1990) Oron et
al., Phys. Rev. A 65, 043408 (2002) Gershgoren et
al., Opt. Lett. 28, 361 (2003)
42Impulsive excitation
Weiner et al., Science 273, 1317 (1990)
43Impulsive excitation
Weiner et al., Science 273, 1317 (1990)