Superresolution in Fluorescence and Diffraction Microscopies with M ultiple I lluminations
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Transcript of Superresolution in Fluorescence and Diffraction Microscopies with M ultiple I lluminations
Superresolution in Fluorescence and Diffraction Microscopies with
Multiple Illuminations
- Jules Girard -
2 December 2011
1/27
Introduction : Imaging with optics and
resolution
Probing function
Parameter of interest
ร ๐ ๐๐๐๐= ๐ ๐๐๐ โ๐๐ ๐()
Dete
ctor
Imaging device
ร~๐๐ ๐
(~๐ ๐๐๐ โ~๐ ๐๐๐)( ๐ ๐๐๐ร ๐ ๐๐๐) ~
๐ ๐Low-pass filter
~๐=(~๐ ๐๐๐โ~๐ ๐๐๐)ร~๐๐ ๐
FT
๐=( ๐ ๐๐๐ร ๐ ๐๐๐)โ๐๐ ๐ ~๐=(~๐ ๐๐๐โ~๐ ๐๐๐)ร~๐๐ ๐
ky
kx
~๐ ๐๐๐ (~๐ ๐๐๐ โ
~๐ ๐๐๐)
โ
Introduction : Extend resolution with
illumination
More generally :
=
~๐ ๐๐๐
โ ky
kx
ky
kx
ร~๐๐ ๐
W. Lukosz and M. Marchand, Optica Acta 10, 241-255 (1963).W. Lukosz, JOSA 56, 1463 (1966).
By using multiple and inhomogeneous illuminations, we can shift high frequency parts of the object spatial spectrum into the passband defined
by the psf
2/27
Introduction : Reconstruct a super-resolution
image๐ ๐= ( ๐ ๐๐๐ร ๐ ๐๐๐ ,๐ )โ๐๐ ๐ ~๐ ๐=(~๐ ๐๐๐โ~๐ ๐๐๐ , ๐)ร~๐๐ ๐
Inversion โ numerical data processing
2 cases
is known is unknown
Non-linear inversion Find both and with the use of constraints
3/27
(๐=1. .๐ )
ยซ Direct ยป inversionwith analytical approach
Presentation Outline
I. Optical Diffraction Tomography
II. Structured Illumination Fluorescence Microscopy
4/27
๐=( ๐ ๐๐๐ร ๐ ๐๐๐)โ๐๐ ๐ ~๐=(~๐ ๐๐๐โ~๐ ๐๐๐)ร~๐๐ ๐
=
I. Optical Diffraction Tomography
Objective
Fourier Space
๐ฝ ๐๐๐
๐ธ๐ก๐๐ก ( ๐ฅ , ๐ฆ ,๐ง )=๐ธ๐๐๐ ( ๐ฅ , ๐ฆ ,๐ง )+๐ธ๐ ( ๐ฅ , ๐ฆ ,๐ง )
II. Optical Diffraction Tomography
โ illuminations โ โ โ access to โ parts of
~๐ธ๐(๏ฟฝโ๏ฟฝ)=
~๐= (~๐ ๐๐๐ ( ๏ฟฝโ๏ฟฝ )โ~๐ ๐๐๐ ( ๏ฟฝโ๏ฟฝ ))ร~๐๐ ๐ ( ๏ฟฝโ๏ฟฝ)
We measure :
~ฮ ๐(Sample dielectric
permittivity contrast)
~Etot(Total internal electric field)
= 0 for lateral
frequencies >
Reconstruct : quantitative microscopy of unstained sample
๏ฟฝโ๏ฟฝ
5/27
๐ฅ
๐ง
E Wolf, Optics Communications 1, 153-156 (1969).
V Lauer, Journal of Microscopy 205, 165-76 (2002).
Laser (ฮป=633n
m)
CC
D
Phase modulator
(G. Maire, F. Drsek, H.Giovannini)
Sample
Experiment
Calibration and normalization
โ
Inversion : ) โ
II. Optical Diffraction Tomography
Illumination with ยซ plane waves ยป under โ incidences
Measure complex values of
6/27
Low : Born Approximation
is diffraction limited โ Abbe limit
High : Multiple Scattering Regime
depends on object and illumination
is not diffraction limited โ resolution improvement ? ( ?)
1. 2.
~ฮ ๐
~Etot
=
๐๐๐ต๐จ ๐๐๐ต๐จ๐๐๐ ๐ต๐จ๐ =๐ /(๐๐ต๐จ)
II. Optical Diffraction Tomography
7/27
air
glass
50 nm
50 nm
25 nm
zx
50ยฐ
simulations
โข ฮป = 633 nm
โข Abbe limit with NA = 1.5
โ 211 nm
= 10-2
Low
|๐ธ ๐ก๐๐ก| = 28.8
High (Ge)
<
!
|๐ธ ๐ก๐๐ก|
II. Optical Diffraction Tomography
8/27
11
air
glass
50 nm
50 nm
25 nm
zx Germanium rods
TIRF configuration (10
angles)
NA = 1.3
โ Abbe limit : 245 nm
Experimental validation
(A. Talneau โ LPN)
II. Optical Diffraction Tomography
0
Z (
ยตm
)
0,5
0
0,5
Z (
ยตm
)
9/27
II. Optical Diffraction Tomography
We achieved quantitative reconstruction of the
permittivity map of unstained sample even with a
multiple scattering regime
Multiple scattering : drawback way to improve the
resolution of ODT far beyond diffraction limit
Conclusion
10/27
II. Structured Illumination in
Fluorescence microscopy on 2D
samples
(2D)
III. Structured Illumination Microscopy in
Fluorescence
Objective Tube Lense
CC
D
๐=( ๐ ๐๐๐ร ๐ ๐๐๐)โ๐๐ ๐
(field intensity)(fluorescence density)
(2D and 1D)
โ2๐0 ๐๐ด+2๐0 ๐๐ด ๐๐ฅ
0,5
1
0๐๐ฅ
๐๐ฆ
11/27
ky
kx
~๐ ๐๐๐
โ~๐ ๐๐๐
Use periodic pattern โ
III. Structured Illumination Microscopy in
Fluorescence๐=( ๐ ๐๐๐ร ๐ ๐๐๐)โ๐๐ ๐
๐ผ๐
~๐
ยฟ๏ฟฝโ๏ฟฝ
~๐
R. Heintzmann and C. Cremer, SPIE, pp. 185-196. (1998)
Mats G L Gustafsson, Journal of Microscopy 198, 82-7
(2000).
Requirements for illumination pattern :โข Accurate translation โ needed for discrimination of the
3 copies โข High contrast โ higher SNR (no dim for shifted copies
of ) 12/27
Use of non-linearities : โ
(R. Heintzmann et al., JOSA A, 19, 2002 & M G L Gustafsson, PNAS, 102, 2005)
High index substrate
โ limited n and/or absorption
Nanostructured devices with plasmonics
โ field bound to the structure + difficulties to cover a large area
III. Structured Illumination Microscopy in
FluorescenceLimit : Illumination pattern is diffraction limited :
= : twice better than classical WF
How can we reach higher frequencies ?
Get below diffraction limit (surface imaging)
13/27
Glass coverslip@ 633nm
a-Si layer @ 633nm
๐
z=0
๐
๐ ๐ฆ
๐๐ฅ
Grating assisted Structured Illumination Microscopy
Dielectric resonant grating โ 2D waveguide + 2D sub-ฮป grating
๏ฟฝโ๏ฟฝ๐๐๐
๏ฟฝโ๏ฟฝ๐๐๐ ๐
Hexagonal geometry : 6 equivalent orientations โ near isotropic
resolution
III. Structured Illumination Microscopy in Fluorescence
๐ง
Design optimization โ numerical simulations14/27
Gratings fabrication process
2. Grating patterning(e-beam + RIE)
1. aSi deposition
(PECVD)
3. Planarization(A. Cattoni)
(J. Girard, A. Talneau, A. Cattoni LPN โ CNRS)
A. Cattoni, A. Talneau, A-M Haghiri-Gosnet, J. Girard, A. Sentenac (oral presentation, MNE 2011)15/2
7
III. Structured Illumination Microscopy in Fluorescence
III. Structured Illumination Microscopy in
FluorescenceExcitation modes of the grating substrate
๏ฟฝโ๏ฟฝ๐๐๐
๏ฟฝโ๏ฟฝ๐๐๐ ๐
๏ฟฝโ๏ฟฝ๐๐๐
๏ฟฝโ๏ฟฝ๐๐๐ ๐
1 beam excitation 2 beams excitation
|๐พ โ1,0|โ1.3ร(2๐๐ ๐๐ด)
|๐พ โ1,0+2 ๏ฟฝโ๏ฟฝ๐๐๐โฅ|<2๐๐ ๐๐ด
|2 [ ๏ฟฝโ๏ฟฝโ 1,0+๏ฟฝโ๏ฟฝ๐๐๐ โฅ ]|โ1.6ร2๐๐ ๐๐ด
rightleft
17/27
III. Structured Illumination Microscopy in
Fluorescence Control of orientation, phase
and incidence angle on the substrate (65ยฐ)
Dich
roรฏc
Mirr
or
Obje
ctive
(O
il, N
A 1.
49)
Experimental setup
16/27
III. Structured Illumination Microscopy in
FluorescenceGrating characterization : SNOM measurements
Stretched fiber
65ยฐ
z=
1 beam excitation
๏ฟฝโ๏ฟฝ๐๐๐
๏ฟฝโ๏ฟฝ๐๐๐ ๐
๏ฟฝโ๏ฟฝ๐๐๐
๏ฟฝโ๏ฟฝ๐๐๐ ๐
(Geoffroy Scherrer, ICB, Dijon)
High Frequency Pattern from the Grating
18/27
Grid Shifting
Theoretical simulation
simulation
III. Structured Illumination Microscopy in
FluorescenceGrating characterization : Far field fluorescence measurements
2 beams excitation : Low frequency component of the intensity pattern
WF Fluorescence observation with ~homogeneous layer of fluorescent beads
19/27
III. Structured Illumination Microscopy in
Fluorescence Our manufactured gratings can produce a grid of light with
180 nm period (ฮป/3.5) (down to 147 nm, ฮป/4.3 with alternative design)
a high contrast
The possibility to shift its position
According to , a final resolution
of up to 87 nm could be reached at ฮป =633 nm!
However we need to know the illumination pattern for inversion procedure
=
20/27
24
โBlindโ SIM Inversion
M 1= ( ๐ผ1ร๐ )โ ๐๐๐นM 2= ( ๐ผ 2ร๐ )โ๐๐๐น
M n=( ๐ผ๐ร๐ )โ ๐๐๐นโฆ
equations
unknowns :
1๐ โ
๐=1
๐
๐ผ๐=๐ผ 0
+1
F ( ๐ , ๐ผ 1 ,โฆ, I n )=โ๐=1
๐
|๐ ๐โ [ ( ๐ผ๐ร๐ )โ ๐๐๐น ]|2(Emeric Mudry & Kamal Belkebir)
Iterative optimization of estimates of and
through minimization of a cost function :
21/27
III. Structured Illumination Microscopy in Fluorescence
Observation of fluorescent beads (ร 90nm) immersed in glycerin with
classical SIM
Experimental validation
WF image Our Result
Optimized ยซ analytical ยป algorithm
Inversion by Pr. R. Heintzmann
Deconvolution of the WF image
22/27
III. Structured Illumination Microscopy in Fluorescence
|~๐ผ|
๐ผ
Simulation Measurement
Speckle illumination
1๐ โ
๐=1
๐
๐ผ๐ (๐ฅ , ๐ฆ )๐โโโ
๐ผ 0
1. Contains every accessible frequencies
2. Known average illumination
3. Experiment far simpler than standard SIM
Speckle pattern is a perfect candidate for SIM with our โblindโ inversion
algorithm
23/27
III. Structured Illumination Microscopy in Fluorescence
object WF image
One measured image
N โ 80
Speckle illumination : simulations
Photon budget : average of 130
photon/pixel/imageReconstructed
=
=
Deconvolution
Deconvolution
=
speckles
speckles
24/27
III. Structured Illumination Microscopy in Fluorescence
Rabbit Jejunum slices (150nm thick) (Cendrine Nicoletti, ISM, Marseille)
TEM image of a similar sample WF image
Reconstructed image from 100 speckle illuminations
Deconvolution of WF image
Speckle illumination : experimental results
25/27
III. Structured Illumination Microscopy in Fluorescence
General Perspectives
I.Optical Diffraction Tomography :
Extend to 3D samples
Use other configuration (grating substrate, mirror substrateโฆ)
II. Structured Illumination in Fluorescence Microscopy
1. Grating-assisted SIM :
Make super-resolved images of real samples : use a priori
information for inversion procedure
2. Speckle illumination :
Extend to 3D samples
27/27
SIM with unknown illumination patterns
Extension of SIM to the use of random speckle patterns
Not effective yet for grating-assisted SIM (inhomogeneous
average illumination)
26/27
III. Structured Illumination Microscopy in Fluorescence
Conclusion
Thanksโฆ
Geoffroy Scherrer Anne Talneau Andrea Cattoni
The whole MOSAIC team for advices, seminars, discussions, equipment, facilitiesโฆ
Eric Le Moal Guillaume Maire Emeric Mudry Kamal Belkebir Anne Sentenac
Thank you for your attention
33
II. Optical Diffraction Tomography
air
Si
300 nm
z
x
100 nm
110
NA = 0.7 (used up to 0.53 only for illumination)
โ Abbe limit : 500 nm (450nm for full NA)
AFM profile
Reconstructed map Reconstructed profileReconstructed profile
(linear inversion)
34
II. Optical Diffraction Tomography
Multiple scattering and resolution
= 28.8
(Germanium) (a) = 2 (b) = 7 (c) = 14
Modulation of for the object 2 :
Simulation of () =()
for a plane wave illumination (incidence 50ยฐ)
= 10-2
100nm
25nm
35
III. Structured Illumination Microscopy in Fluorescence
Grating assisted SIM : getting some images
Problem with inversion : Intensity pattern is not perfectly known
Speckle algorithm is not able to retrieve frequencies >
Add of a priori information (rough orientation and frequencies)