US 11,692,877 B2Granted

Method and system for axially-offset differential interference contrast correlation spectroscopy

AssigneePurdue Research Foundation

InventorsGarth Jason Simpson, Chen Li, Changqin Ding

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Abstract

A method for phase contrasting-correlation spectroscopy: converting an incident linearly polarized light into two polarized components (polarized divergent and convergent components, wherein the polarized divergent component is orthogonal to the polarized convergent component), focusing each of the polarized divergent component and the polarized convergent component into a focal plane, thereby producing two focus planes constituting a reference focus (RF) plane and a sample focus (SF) plane; placing a sample at the SF plane and ambient conditions of the sample at the RF plane, resulting in a phase shift between the two polarized components; reconstituting the two phase-shifted polarized components into a phase-shifted linearly polarized light; detecting the phase-shifted linearly polarized light; calculating phase and intensity of the sample from the phase-shifted linearly polarized light; establishing an autocorrelation of phase and intensity of the phase-shifted linearly polarized light; and generating correlograms of intensity and phase of the phase-shifted linearly polarized light.

Claims20

Dependent claims

A method for phase contrasting-correlation spectroscopy, comprising:

converting an incident linearly polarized light into two polarized components, wherein the two polarized components comprise:
a polarized divergent component, and
a polarized convergent component, wherein the polarized divergent component is orthogonal to the polarized convergent component;
focusing each of the polarized divergent component and the polarized convergent component onto a focal plane, thereby producing two focus planes constituting a reference focus (RF) plane and a sample focus (SF) plane;
placing a sample at the SF plane and placing a fluid constituting the ambient conditions of the sample at the RF plane, thereby allowing the two polarized components to be incident on the RF and the SF planes, resulting in a phase shift between the two polarized components, thus generating two phase-shifted polarized components;
reconstituting the two phase-shifted polarized components into a phase-shifted linearly polarized light;
detecting the phase-shifted linearly polarized light by a detector;
calculating phase and intensity of the sample from the phase-shifted linearly polarized light;
establishing an autocorrelation of phase and intensity of the phase-shifted linearly polarized light;
and
generating correlograms of intensity and phase of the phase-shifted linearly polarized light,
wherein the autocorrelation of phase and intensity is based on:
G
⁡
(
τ
,
⁢
τ
d
)
=
A
·
(
1
+
τ
τ
d
)
-
1
·
[
1
+
(
w
0
w
z
)
2
⁢
τ
τ
d
]
-
1
2
+
B
,
where A and B are the amplitude and asymptotic values of the autocorrelogram as τ approaches infinite, and
τ
d
=
3
⁢
π
⁢
η
⁢
w
0
2
⁢
d
4
⁢
k
B
⁢
T
,
where w0 and wz are the beam waist in the radial and axial directions (resolution), respectively, and η is the viscosity of water at 25° C.

75 more elements

A phase contrasting-correlation spectroscopy system comprising:

a first micro-retarder array adapted to convert a linearly polarized incident light into two polarized components, the two polarized components comprise:
a polarized divergent component, and
a polarized convergent component, wherein the polarized divergent component is orthogonal to the polarized convergent component;
a first optical device adapted to focus each of the polarized divergent component and the polarized convergent component into a focal plane, thereby producing two focus planes constituting a reference focus (RF) plane and a sample focus (SF) plane, wherein placement of a sample in the SF plane and placement of the sample's ambient environment in the RF plane result in a phase shift between the two components;
a second optical device adapted to receive and focus phase-shifted components from the RF and SF planes;
a second micro-retarder array adapted to combine the two focused phase-shifted components, thereby producing a second phase-shifted linearly polarized light;
a detector adapted to receive the phase-shifted linearly polarized light;
and
a processing system configured to:
calculate phase and intensity of the sample from the phase-shifted linearly polarized light,
establish an autocorrelation of phase and intensity of the phase-shifted linearly polarized light, and
generate correlograms of intensity and phase of the phase-shifted linearly polarized light,
wherein the autocorrelation of phase and intensity is based on:
G
⁡
(
τ
,
⁢
τ
d
)
=
A
·
(
1
+
τ
τ
d
)
-
1
·
[
1
+
(
w
0
w
z
)
2
⁢
τ
τ
d
]
-
1
2
+
B
,
where A and B are the amplitude and asymptotic values of the autocorrelogram as τ approaches infinite, and
τ
d
=
3
⁢
π
⁢
η
⁢
w
0
2
⁢
d
4
⁢
k
B
⁢
T
,
where w0 and wz are the beam waist in the radial and axial directions (resolution), respectively, and η is the viscosity of water at 25° C.

76 more elements

Dependencies are inferred from the claim text.

Facts

Application: 17/518,761Filed 4 Nov 2021 · continuation in part
Priority: 22 Jul 2020
Published: US 2022/0026331 A124 Feb 2022
Granted: 4 Jul 2023
Term ends: Not estimatedThe source records don’t support an estimate.

Classification7 codes

G01J 3/447
Investigating the spectrum: polarisation spectrometry
G01J 3/021
Optical elements not provided otherwise, e.g. optical manifolds, diffusers, windows: using plane or convex mirrors, parallel phase plates, or…
G01J 3/0224
Optical elements not provided otherwise, e.g. optical manifolds, diffusers, windows: using polarising or depolarising elements
G01J 3/457
Investigating the spectrum: correlation spectrometry, e.g. of the intensity

Family

Application63/054,801Us provisional application · filed 22 Jul 2020
Application17/329,017Parent of this continuation-in-part · filed 24 May 2021
US 2022/0057266 A1Pre-grant publication · published 24 Feb 2022
US 11,656,164 B2Related patent
US 2022/0026331 A1Published application
US 11,692,877 B2This patent

From the US filing history. Foreign family members aren’t listed.