Group presentation

1
Noise out of Order
Sandro Perrone

• Group Meeting - 10, October 2009

2
Many systems in nature, sociology, and technology
present noisy phenomena. These are complex
systems.
3
Main Goal
The main goal of this project is an experimental
research of physical assisted phenomena for
noise in systems mono and multi stable with at
least two source of noise one thermal noise
with white spectral density and another with
external correlated noise.
thermal noise
4
High-focused laser beams (Optical Tweezers) can
trap microscopic particles
5
High-focused laser beams (Optical Tweezers) can
trap microscopic particles
Optical Trap Force-field
Trapping Potential
6
High-focused laser beams (Optical Tweezers) can
trap microscopic particles
Optical Trap Force-field
Trapping Potential
7
Experimental Setup Noisy Trap
8
Experimental Setup Noisy Trap
600 nm sphere in a noisy optical trap
9
Interface LabView Program
10
Mathematical Approach
Langevin equation
Input Noise
Lorentzian power spectrum
11
We want to study some physical effect like
Stochastic Resonant Damping (SRD)
Stochastic Resonant Damping a general mechanism
that explains why an increased effort can lead to
a worse response.
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
12
Output position variance decreases for
increasing LASER power
Variance
LASER Power
13
Stochastic Resonant Damping
thermal noise
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
14
Stochastic Resonant Damping
thermal noise
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
15
Stochastic Resonant Damping
thermal noise
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
16
Stochastic Resonant Damping
Slow External Noise
Position Variance
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
17
Stochastic Resonant Damping
Slow External Noise
Position Variance
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
18
Stochastic Resonant Damping
Slow External Noise
Position Variance
Fast External Noise
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
19
Stochastic Resonant Damping
Slow External Noise
Position Variance
Fast External Noise
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
20
Stochastic Resonant Damping
Slow External Noise
Position Variance
Fast External Noise
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
21
Stochastic Resonant Damping
Slow External Noise
Position Variance
Fast External Noise
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
22
Stochastic Resonant Damping
Slow External Noise
Position Variance
Fast External Noise
thermal noise
LASER Power
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
External Noise
23
Theoretical and Experimental Results
Theoretical and experimental results are in very
good agreement.
G. Volpe, S. Perrone, J.M. Rubí and D.
Petrov Stochastic Resonant Damping in a noisy
monostable system theory and experiment Phys.
Rev. E 77, 051107 2008
24
Secondary Results from SRD is Increasing Linear
Detection for QPD
S. Perrone, G. Volpe and D. Petrov 10-fold
detection range increase in quadrant-photodiode
position sensing for Photonic Force Microscope,
Rev. Sci. Instrumen. (To be published)
25
Including research done

• Comparison between SRD and SR
• SR in a monostable system
• SR in a double well Potential provided by an
  electrostatic external field.

26
Stochastic Resonance
SR has been introduced to explain the periodic
occurrence of ice age. SR occurs, when a small
periodic force is applied together with a large
wide of noise. SR consists in an anomalous
amplification of input signals by noise due to
the non-linear nature of the system. The degree
of order is related to the amount of periodic
function that it shows in the system response.
Hänggi, CHEMPHYSCHEM 2002, 3, 285 - 290
27
SR in a Double Well System
AOD
IR Laser
28
SR in a X4 Energy Landscape
When the focus of the beam moves on time scales
very short compared to relaxation or diffusion
times of Brownian motion of the particle, such a
movable optical beam creates quasi-static
potential energy landscape for the particle.
J. M. G. Vilar and J. M. Rubí, Divergent
Signal-to-Noise Ratio and Stochastic Resonance in
Monostable Systems, Phys. Rev. Lett. 77, 2863 -
2866 (1996)
29

• Articles
• G. Volpe, S. Perrone, J.M. Rubí and D. Petrov
• Stochastic Resonant Damping in a noisy monostable
  system theory and experiment,
• Phys. Rev. E 77, 051107 2008
• S. Perrone, G. Volpe, D. Petrov
• 10-fold detection range increase in
  quadrant-photodiode position
• sensing for Photonic Force Microscope, Rev. Sci.
  Instrumen. (To be published)
• Conferences
• Experimental Observation of Resonant Damping in a
  Parametrically-driven Noisy System
• - New Frontiers in Micro and Nano Photonics
  Florence, Italy, 25-04-2008.
• Stochastic Resonance vs. Stochastic Resonant
  Damping Theory and Experiment

30
THANKS FOR YOUR ATTENTION!!!