Title: Stochastic Resonant Damping
1Stochastic Resonant Damping vs. Stochastic
Resonance
Giovanni Volpe Sandro Perrone J. Miguel
Rubi Dmitri Petrov
The Institute of Photonic Sciences - Barcelona
(Spain)
2An increased effort to control a noisy
system should lead to a better performance
3An increased effort to control a noisy
system should lead to a better performance
4An increased effort to control a noisy
system should lead to a better performance
5An increased effort to control a noisy
system should lead to a better performance
6Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
Phys Rev E (2008) 77, 051107
7Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
- Brownian motion in an optical trap
- Stochastic Resonant Damping
- SRD vs. SR
Phys Rev E (2008) 77, 051107
8Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
- Brownian motion in an optical trap
- Stochastic Resonant Damping
- SRD vs. SR
Phys Rev E (2008) 77, 051107
9High-focused laser beams (Optical Tweezers) can
trap microscopic particles
Position Detector
Condenser
Sample
High-NA Objective
Trapping Laser
10High-focused laser beams (Optical Tweezers) can
trap microscopic particles
Optical Trap Force-field
Trapping Potential
11High-focused laser beams (Optical Tweezers) can
trap microscopic particles
Optical Trap Force-field
Trapping Potential
12The more laser power, the more confined the
particle more effort, better result.
Variance nm2
Laser Power
13The more laser power, the more confined the
particle more effort, better result.
Variance nm2
Laser Power
14The more laser power, the more confined the
particle more effort, better result.
Variance nm2
Laser Power
15The more laser power, the more confined the
particle more effort, better result.
Variance nm2
Laser Power
16The more laser power, the more confined the
particle more effort, better result.
Variance nm2
Laser Power
17Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
- Brownian motion in an optical trap
- Stochastic Resonant Damping
- SRD vs. SR
18Stochastic Resonant Damping happens when the
confinement effort is noisy
Confining Potential
19Stochastic Resonant Damping happens when the
confinement effort is noisy
Noise
Confining Potential
Phys Rev E (2008) 77, 051107
20Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Fast Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
21Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Fast Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
22Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Slow Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
23Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Slow Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
24Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Intermediate Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
25Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Intermediate Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
26Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Intermediate Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
27Stochastic Resonant Damping happens when the
confinement effort is noisy
Variance nm2
Confining Potential Intermediate Noise
Laser Power /Confinement Effort C
Phys Rev E (2008) 77, 051107
28Stochastic Resonant Damping Theory
Model
Confining Potential Noise
Phys Rev E (2008) 77, 051107
29Stochastic Resonant Damping Theory
Model
Variance
Confining Potential Noise
Phys Rev E (2008) 77, 051107
30Stochastic Resonant Damping Theory
Model
Variance
Confining Potential Noise
Variance (sinusoidal noise)
Phys Rev E (2008) 77, 051107
31Stochastic Resonant Damping Theory and experiment
15000
Variance nm2
5 Hz
10000
50 Hz
5000
500 Hz
0
0
30
20
10
Laser Power mW
Phys Rev E (2008) 77, 051107
32Stochastic Resonant Damping Theory and experiment
15000
Variance nm2
5 Hz
10000
50 Hz
5000
500 Hz
0
0
30
20
10
Laser Power mW
Phys Rev E (2008) 77, 051107
33Stochastic Resonant Damping Theory and experiment
15000
Variance nm2
5 Hz
10000
50 Hz
5000
500 Hz
0
0
30
20
10
Laser Power mW
Phys Rev E (2008) 77, 051107
34Stochastic Resonant Damping Theory and experiment
15000
Variance nm2
5 Hz
10000
50 Hz
5000
500 Hz
0
0
30
20
10
Laser Power mW
Phys Rev E (2008) 77, 051107
35Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
- Brownian motion in an optical trap
- Stochastic Resonant Damping
- SRD vs. SR
36Stochastic Resonant Damping is in all systems
because it is a linear effect.
In linear systems there is no stochastic resonance
37Non-linear systems Both SRD and SR in different
regimes
SRD
SR
Variance nm2
SNR
Laser Power mW
Laser Power mW
38Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
- Brownian motion in an optical trap
- Stochastic Resonant Damping
- SRD vs. SR
Phys Rev E (2008) 77, 051107
39Stochastic Resonant Damping
A general mechanism that explains why an
increased effort can lead to a worse response
Phys Rev E (2008) 77, 051107