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Claims  |
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What is claimed is:
1. A method for measuring the values of quantities which characterize the
optical properties of substances, including light absorption and
scattering, circular and linear birefringence, circular and linear
dichroism, which comprises:
a. forming a beam of monochromatic linearly polarized light the
polarization vector of which rotates at a predetermined frequency and the
intensity of which does not depend upon the orientation of the
polarization vector;
b. measuring the phase of the electric signal produced in a photodetector
by the said beam of light passed through a measuring path including the
substance under investigation; or
c. measuring the modulation coefficient of the electric signal produced in
a photodetector by the said beam of light passed through a measuring path
including the substance under investigation.
2. A method as claimed in claim 1 for measuring the absorbency and the
transmittancy of substances, in which said beam-forming step includes the
steps of:
a. splitting the said beam of light into two partial beams of light with
the same polarization properties;
b. passing the said partial beams of light through at least one of two
optical polarization analyzers oriented at an angle of 45.degree. with
each other and then through the substance under investigation and through
a reference substance or a blank respectively;
c. focusing both the said beams of light on the photodetector;
and in which said measuring step includes the step of:
d. measuring the phase of the resulting electric signal produced in the
detector by the action of both the said beams of light and computing the
values of the substance's absorbency or transmittency in response to said
phase measurement.
3. A method as claimed in claim 1 for measuring a property selected from
the properties of the light scattering coefficients and the turbidity of a
substance, in which said beam-forming step includes the steps of:
a. splitting the said beam of light into two partial beams of light with
the same polarization properties;
b. passing the said partial beams of light through at least one of two
optical polarization analyzers oriented at an angle of 45.degree. with
each other and then respectively through the substance under investigation
and through a standard diffusor, whose scattering coefficients are known;
c. focusing the beams of light scattered under a definite angle by the
substance under investigation and by the standard diffusor on a
photodetector;
and in which said measuring step includes the step of:
d. measuring the phase of the resulting electric signal and computing the
values of either or both the substance's scattering coefficients and its
turbidity in response to said phase measurement.
4. A method as claimed in claim 1 for measuring circular birefringency
(optical rotation) of a substance, in which said beam-forming step
includes the steps of:
a. passing the said beam of light first through the substance under
investigation and then through an optical polarization analyzer;
b. focusing the said beam of light passed through the substance and through
the analyzer on a photodetector;
and in which said measuring step includes the step of:
c. measuring the phase of the resulting electric signal produced in the
detector in the presence of the substance in the beam of light and
measuring the phase of the resulting electric signal in the absence of the
substance in the beam of light and computing the value of the substance's
circular birefringency in response to said phase measurements.
5. A method as claimed in claim 1 for measuring linear birefringency of an
anisotropic substance, in which said beam-forming step includes the steps
of:
a. passing the said beam of light first through the substance under
investigation and then through an optical polarization analyzer;
b. focusing the said beam of light on the photodetector;
and in which said measuring step includes the step of:
c. measuring the phase of the resulting electric signal produced in the
detector in the presence of the substance in the beam of light at various
orientations of the substance or the analyzer and measuring the phase of
the resulting electric signal in the absence of the substance in the beam
of light at various orientations of the analyzer and computing the value
of the substance's linear birefringency in response to said phase
measurements.
6. A method as claimed in claim 1 for measuring the circular dichroism of a
substance, in which said beam-forming step includes the steps of:
a. passing the said beam of light first through a quarter wave retarding
plate, which can be represented by a duly set Babinet-Soleil compensator,
and then through the substance under investigation;
b. focusing the said beam of light on the photodetector;
and in which said measuring step includes the step of:
c. measuring the modulation coefficient of the electric signal produced in
the detector by the said beam of light passed through the quarter wave
plate and the substance and computing the value of the substance's
circular dichroism in response to said modulation coefficient measurement.
7. A method as claimed in claim 1 for measuring the linear dichroism of a
substance, in which said beam-forming step includes the steps of:
a. passing the said beam of light through the substance under
investigation;
b. focusing the said beam of light on a photodetector and in which said
measuring step includes the step of:
c. measuring the modulation coefficient of the electric signal produced in
the detector by the said beam of light passed through the substance and
computing the value of the substance's linear dichroism in response to
said modulation coefficient measurement.
8. An apparatus for measuring a property selected from the properties of
the absorbency and the transmittency of a substance, comprising: a source
of light and a monochromator; a device to transform the monochromatic beam
of light emerging from the monochromator into a beam of linearly polarized
light, the polarization vector of which rotates with a predetermined
frequency, but the intensity of which does not depend upon the direction
of this vector; a device to split the said beam of light into two partial
beams with the same polarization properties; two analyzers oriented at an
angle of 45.degree. with each other and placed each into one of the said
partial beams of light; two photodetectors; a device to focus both the
said partial beams of light after they have been passed through the
substance under investigation and through the reference substance or a
blank respectively on one of the said photodetectors; a device for
measuring the phase of the electric signal produced in one photodetector
by both the said beams of light against a reference signal, e.g. a signal
produced in the other photodetector by a reflected part of one of the said
beams of light passed through the corresponding analyzer.
9. An apparatus for measuring a property selected from the properties of
the scattering coefficients and the turbidity of a substance, comprising:
a source of light and a monochromator; a device to transform the
monochromatic beam of light emerging from the monochromator into a beam of
linearly polarized light, the polarization vector of which rotates with a
predetermined frequency, but the intensity of which does not depend upon
the direction of this vector; a device to split the said beam of light
into two partial beams with the same polarization properties; two
analyzers oriented at an angle of 45.degree. with each other and placed
each into one of the said partial beams of light; a photodetector; a
device to focus both the said partial beams of light after they have been
scattered at a definite angle to the direction of the incident beam by the
substance under investigation and by a standard diffusor respectively on
the said photodetector; a device for measuring the phase of the electric
signal produced in the said detector by both the said beams of light
against the reference signal.
10. An apparatus for measuring the circular birefringency (optical
rotation) of a substance, comprising: a source of light and a
monochromator; a device to transform the monochromatic beam of light
emerging from the monochromator into a beam of linearly polarized light,
the polarization vector of which rotates with a predetermined frequency,
but the intensity of which does not depend upon the direction of this
vector; a device to split the said beam of light into two partial beams
with the same polarization properties; two optical polarization analyzers
oriented at an angle of 45.degree. with each other and placed each into
one of the said partial beams of light; two photodetectors placed each
into one of the said partial beams; a device to focus one of the said
partial beams of light after it has been passed through the substance
under investigation on one of the said photodetectors; a device to focus
the other said partial beam on the other said detector; devices for
measuring the phase of the electric signal produced in each of the said
detectors by both the said beams of light; a device to compute the
circular birefringency from the said phase measurements.
11. An apparatus for measuring the linear birefringency of a substance,
comprising: a source of light and a monochromator; a device to transform
the monochromatic beam of light emerging from the monochromator into a
beam of linearly polarized light, the vector of polarization of which
rotates with a predetermined frequency, but the intensity of which does
not depend upon the orientation of this vector; an analyzer; a
photoelectric detector; a device to focus the beam of light passed first
through the substance under investigation and then through the analyzer on
the detector; a device to turn the sample or the analyzer on various
angles; a device to measure the phase of the electric signal produced in
the detector by the said beam of light against a reference signal.
12. An apparatus for measuring the circular dichroism of a substance,
comprising: a source of light and a monochromator; a device to transform
the monochromatic beam of light emerging from the monochromator into a
beam of linearly polarized light, the polarization vector of which does
not depend upon the orientation of this vector; an achromatic quarter wave
retardating plate or a Babinet-Soleil compensator which can act as such a
plate; a photoelectric detector; a device to focus the said beam of light
passed first through the quarter wave plate or the Babinet-Soleil
compensator and then through the substance under investigation on the
detector; a device to measure the modulation coefficient of the electric
signal produced in the detector by the said beam of light.
13. An apparatus for measuring the linear dichroism of a substance,
comprising: a source of light and a monochromator; a device to transform
the monochromatic beam of light emerging from the monochromator into a
beam of linearly polarized light, the polarization vector of which rotates
with a predetermined frequency, but the intensity of which does not depend
upon the orientation of this vector; a photoelectric detector; a device
for measuring the modulation coefficient of the electric signal produced
in the detector by the said beam of light passed through the substance
under investigation.
14. An apparatus as claimed in any of claims 8, 9, 10, 11, 12 and 13 and
further comprising optical filters to replace or to supplement the
monochromator. |
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Claims  |
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Description  |
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BACKGROUND OF THE INVENTION
Known in the prior art are various visual and photoelectric methods for
measuring optical quantities. Known in the prior art also are many
apparatuses for measuring the light absorption (spectrophotometers), light
scattering (nephelometers), circular birefringency (spectropolarimeters)
and circular dichroism (spectrodichrographs). With respect to the
measurements of linear birefringency (double refraction) and linear
dichroism, no instruments are now to our best knowledge produced on the
commercial basis. There exist only some laboratory devices for these
measurements built in scientific institutes where they are needed.
Physical principles underlying these methods and instruments are specific
for the measured quantity. Therefore each of these instruments provides
the possibility to measure only one of the aforementioned optical
quantities. Different instruments are required to measure various
quantities.
SUMMARY OF THE INVENTION
To overcome this disadvantage and to improve the accuracy and sensitivity
of optical measuring devices we propose:
1.--A new method for measuring all or any of the aforementioned optical
quantities which differs from the existing ones by the following main
singularities:
a. A beam of linearly polarized light is used in all kinds of measurements,
whose direction of polarization rotates with a definite frequency, but the
intensity of which does not depend upon the orientation of the
polarization vector.
b. The values of all the aforementioned optical quantities are computed
from the measured value of the phase or the modulation coefficient of the
alternating electric signal generated in the photodetector, e.g. a
photomultiplier, by the said beam of light passing through the substance
under investigation and through an analyzer or an achromatic quarter wave
retardating plate which can be presented by a duly set Babinet-Soleil
Compensator.
2.--An apparatus for measuring all or any of the aforementioned optical
quantities which is based on the proposed method and contains as its
essential parts:
a. A light source and a monochromator
b. A device to transform the monochromatic beam of light emerging from the
monochromator into a beam of linearly polarized light whose polarization
direction rotates with a definite frequency, but the intensity of which
does not depend upon the orientation of the polarization vector.
c. Devices to split the said beam of light with rotating polarization
direction into two partial beams with the same properties and to focus
both these partial beams on the same place of a photodetector, e.g. a
photomultiplier.
d. Analyzers in both the said partial beams of light whose transmission
directions are turned on an angle of 45.degree. with each other.
Devices to rotate said analyzers to effect changes in said transmission
direction. Devices to rotate the sample under investigation to effect
changes in the transmission direction of the beam after it has passed
through said sample.
e. An achromatic quarter wave retardating plate or a duly set
Babinet-Soleil Compensator which can replace the analyzer in one of the
said partial beams of light.
f. Devices to measure the phase and/or the modulation coefficient of the
electric signal generated in the photodetector by the light transmitted by
the substance under investigation.
The general idea of the proposed method and instrument is to replace the
measurements of the resulting signal intensity as is typically done in the
art by the measurements of its phase and/or of its modulation coefficient.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a system diagram of the apparatus according to the invention.
FIG. 2 is a schematic presentation of an arrangement for measuring the
scattering coefficients of a substance.
DESCRIPTION OF INVENTION
System Diagram
The invention will now be explained with reference to a particular
embodiment thereof and the appended drawings.
FIG. 1 is the system diagram, wherein:
1--is an illuminator, which contains the light source and the optical
system focusing the light on the entrance slit of a monochromator;
2--is the monochromator;
3--is the monochromator's wavelength drive and readout;
4--is a device to transform the light emerging from the monochromator into
the linearly polarized light with the rotating polarization direction, the
intensity of which does not depend upon the orientation of the
polarization vector;
5--is a device to split the said beam of light into two partial beams with
the same polarization properties;
6--is the sample compartment;
7--is a device to focus both the said partial beams of light on the same
place of the photodetector's sensitive area;
8 and 9--are photodetectors, e.g. photomultipliers;
10 and 11--are DC amplifiers;
12 and 13--are feedback devices which make the intensity of the signal
generated in the detector independent upon the intensity of light
producing the signal;
14 and 15--are AC multipliers;
16--is a phasemeter;
17--is a device to measure the modulation coefficient of the resulting
signal, i.e. the ratio of the signal's alternating component amplitude to
the direct component;
18--is a computer programmed to compute the values of the measured optical
quantities from the measured value of the signal's phase or modulation
coefficient;
19--is the readout of results;
20--is the recorder;
21--is the Babinet-Soleil Compensator's drive connected to the
monochromator's drive.
Optical components
D--depolarizer, e.g. a 1.degree. quartz prism cut parallel to the crystal's
optical axis;
P, A.sub.1 and A.sub.2 --polarizers, e.g. polarizing prisms
M.sub.1 -M.sub.4 --mirrors;
Pr.sub.1 and Pr.sub.2 --rectangular prisms with reflecting faces;
BS--Babinet-Soleil's Compensator;
Spl--beamsplitter;
Sh--shutter.
Light beams:
Electrical connections:
Mechanical connections:
FIG. 2 is a schematic presentation of a possible arrangement for measuring
the scattering coefficients of a substance, wherein:
Pr.sub.1 and Pr.sub.2 are prisms with reflecting faces;
M.sub.1 and M.sub.2 are mirrors;
SD is a standard diffusor;
Sb is the substance under investigation;
L is a lens;
PM is a photodetector, e.g. a photomultiplier;
are beams of light with the rotating polarization direction;
are beams of linearly polarized light;
are beams of light scattered by the standard diffusor or by a
substance under investigation.
SYSTEM OPERATION
Light emitted by a suitable light source, e.g. a deuterium, mercury, xenon
or halogen filament lamp, is focused by the illuminator 1 on the entrance
slit of the monochromator 2 equipped as usual by the wavelength drive
assembly 3 and by a wavelength readout. The monochromator can be replaced
by or supplemented with suitable optical filters.
The monochromatic beam of light emerging from the monochromator is
transformed by the device 4 into a beam of linearly polarized light, whose
polarization direction rotates with a definite cyclic frequency .omega.,
but the intensity of which does not depend upon the orientation of the
polarization vector. That can be done, e.g., by letting the light pass
first through a depolarizer D, e.g. a crystalline quartz 1.degree. prism
cut parallel to the quartz optical axis, and then through a rotating
polarizer P, e.g. a polarizing prism or a polaroid. Alternatively one
could replace the depolarizer D by a fixed polarizer and the rotating
polarizer by a known device to rotate the direction of the linearly
polarized light.
The device 5 splits the said beam of light with the rotating polarization
direction into two partial beams with the same polarization properties.
That can be done, e.g., by the rectangular prism Pr.sub.1 with reflecting
(metallized) faces and by two mirrors M.sub.1 and M.sub.2, as it is shown
on FIG. 1. Both these partial beams of light pass through the sample
compartment 6 and are focused by the device 7 similar to the device 5 on
the same place of the photosensitive area of a photodetector 8.
One of these beams (beam I on the FIG. 1) passes through the analyzer
A.sub.1 which can be replaced by the Babinet-Soleil compensator or the
achromatic quarter-wave plate in the case of the circular dichroism
measurements.
Depending on the characteristic being measured, the sample of substance
under investigation is placed into this beam of light either before or
after the analyzer, or, in the case of circular dichroism measurements,
after the compensator.
The second partial beam of light (beam II on the FIG. 1) passes through the
analyzer A.sub.2 whose transmission direction makes an angle of 45.degree.
with that of the analyzer A.sub.1. A part of the light transmitted by the
analyzer A.sub.2 is reflected by the beamsplitter Spl to the "reference"
photodetector, e.g. a photomultiplier, 9. The beam II can be shut off by
the shutter Sh after a part of it has been reflected to the detector 9.
The analyzers A.sub.1 and A.sub.2 transform the incident light with the
rotating polarization direction into a light with a fixed polarization
direction whose intensity is proportional to (1+cos 2.omega.t). The direct
components of the electric signals generated in the detectors 8 and 9 by
the said beams of light are amplified by DC amplifiers 10 and 11 and are
stabilized by the feedback devices 12 and 13 which control, e.g., the
dynode voltage of multipliers 8 and 9 and make the intensity of the signal
independent upon the intensity of light acting on the detectors. The
alternating parts of the said signals are amplified by the AC amplifiers
14 and 15 and fed to the inputs of the phasemeter 16 which measures the
phase difference between them.
The device 17 measures the ratio of the amplitude of the alternating part
of the signal generated in 8 to its direct part, i.e. the modulation
coefficient of the said signal.
The measured values of the signal's phase or modulation coefficient are
transferred to a minicomputer 18 which computes the values of the measured
optical quantity as it will be described later. The results are read on
the digital readout 19 and/or recorded in analogous form by the recorder
20. Alternatively they can be recorded in the digital form by a printer or
by any one of known devices, e.g. on magnetic tape or on punch cards.
SYSTEM FUNCTIONING
Let us see now how the measurements of all the aforementioned optical
quantities can be carried out by the proposed method and by the instrument
presented schematically on FIG. 1 and hereinbefore described.
I. Measurements of light absorption
The absorption of light by a substance is characterized usually by the
substance's transmittency T=J:J.sub.o or by its absorbency (optical
density) A=-log T (here J and J.sub.o are the values of the intensity of
light falling onto the substance and transmitted by it respectively).
To measure the quantities T and A by the proposed method and instrument,
i.e. to use the instrument as a spectrophotometer, we have:
a. To place the substance under investigation, e.g. the solution, into one
of beams of light I or II on the FIG. 1 and the reference substance, e.g.
the solvent, into the other beam, both samples being placed after the
corresponding analyzers.
b. To measure the phase of the resulting signal produced in the
photodetector 8 by the simultaneous action of both the said beams of light
against the signal produced in the detector 9 by the reflected part of the
beam II.
Since the analyzers A.sub.1 and A.sub.2 are oriented at an angle of
45.degree. with each other, the alternating parts of the electric signals
produced by them are shifted in phase at an angle of 90.degree.. It is
easy to see now that the quantities T and A can be computed from the
measured values of the said phase difference .phi.:
##EQU1##
where .phi..sub.o is the phase difference measured in the absence of
substances in both beams of light or in the presence of the same substance
in both of them; .phi..sub.1 is the phase difference measured in the
presence of the substance under investigation in the beam I and of the
reference substance in the beam II; .phi..sub.2 is the phase difference
measured with the substance under investigation being placed into the beam
II and the reference substance into the beam I.
2. Measurements of the circular birefringency
(optical rotation)
The circular birefringency (optical rotation) of a substance is
characterized usually by the angle .alpha. on which the polarization plane
of the incident linearly polarized light is turned by passing through the
substance.
To measure this angle by the proposed method and instrument, i.e. to use
the instrument as a spectropolarimeter, we have:
a. To place the substance under investigation into the beam I on the FIG. 1
before the analyzer A.sub.1 and to close the shutter in the second beam
II.
b. To measure the phase of the resulting electric signal generated in the
detector 8 by the light passing first through the substance and then
through the analyzer against the signal generated in the detector 9 by the
reflected part of the beam II.
If .phi..sub.s and .phi..sub.o are the values of the said phase difference
measured in the presence and absence of the substance under investigation
in the light beam I, then obviously
.alpha.=(.phi..sub.s -.phi..sub.o)/2 (2)
The sign of the difference (.phi..sub.s -.phi..sub.o) determines the
direction of optical rotation.
3. Measurements of the linear birefringency
(double refraction)
The linear birefringency (or the double refraction) of a substance is
characterized usually by the difference of its two "principal" refraction
indices n.sub.o and n.sub.e which correspond to the ordinary and
extraordinary ray respectively.
To simplify the calculations we assume that the substance under
investigation is presented as a plane parallel plate whose surface is
parallel to the substance's optical axis and is orthogonal to the
direction of the incident beam of light with rotating polarization plane.
Since the lightwaves polarized parallel and orthogonal to the optical axis
propagate in a birefringent substance with different velocities, they
leave the plate with a definite phase difference .delta.. In other words
the linearly polarized light is transformed by passing through the
substance into a light polarized elliptically.
The phase difference .delta. introduced by the plate is connected to the
difference .DELTA.n=n.sub.o -n.sub.e by the simple relationship:
.delta.=(2.pi.l/.lambda.).multidot..DELTA.n (3a)
where l is the thickness of the plate and .lambda. the wavelength of the
light in air.
In the proposed method and apparatus .delta. is measured directly and
.DELTA.n can be computed from (3a). To measure .delta. we have:
a. To place the sample of the substance into the beam of light I (FIG. 1)
before the analyzer and to close the shutter in the second beam II.
b. To measure the phase difference .phi. between the electric signal
generated in the detector 8 by the light beam I passing first through the
substance under investigation and then through the analyzer A.sub.1
against the reference signal generated in the detector 9 by the reflected
part of the beam II.
To show how the phase difference .delta. between the light waves can be
computed from the measured phase difference .phi. between the said
electrical signals we shall describe the light beams by the four
dimensional Stokes vector: [J; P.sub.1 ; P.sub.2 ; P.sub.3 ] whose first
component is the beam's intensity and the other three components describe
its state of polarization. The action of an optical medium, e.g. a
birefringent plate or a polarizer, on the light passing through this
substance can be described by a suitable Muller's matrix. One can find the
Stokes vector for the light transmitted by the medium by multiplying the
Stokes vector of the incident light by the corresponding Muller's matrix.
We choose the transmission direction of the analyzer A.sub.1 as the OX-axis
of the system of coordinates in the plane orthogonal to the light beam I.
Then the Muller's matrix for the polarizer A.sub.1 is:
##EQU2##
The Muller's matrix for our birefringent plate is
##EQU3##
where .alpha. is the angle the direction of fast oscillations of the
substance makes with the OX-axis. (See, e.g., Walker, M. I., Matrix
calculus and the Stokes parameters of polarized radiation, Amer. J. Phys.,
vol. 22, p. 170, 1954 or McMaster, W. H., Matrix representation of
polarization, Rev. mod. Phys., vol. 33, p. 8, 1961).
If we assume that the polarization direction of the incident beam of light
with rotating polarization plane is parallel to the OX-axis at the moment
t=0, then the Stokes vector for the incident beam of light is:
##EQU4##
The Stokes vector for the light beam which acts on the photodetector 8 is
therefore:
##EQU5##
It is easy to show now by performing the multiplications that the intensity
of the light acting on the detector 8 and therefore of the electric signal
generated in this detector is proportional to
J=1+M cos (2.omega.t-.psi.)
where
M.sup.2 =[cos.sup.2 2.alpha.t+sin.sup.2 2.alpha.t.multidot.cos
.delta.)].sup.2 +[sin.sup.2 2.alpha.cos 2.alpha.(1-cos .delta.)].sup.2
and
##EQU6##
Since we measure the phase of the resulting signal against the signal
generated in the detector 9 which is shifted on 90.degree. relatively to
the OX-axis, the measured phase difference .phi.=90-.psi. and
##EQU7##
Obviously, .phi.=90.degree. independently of the value of .delta. at
.alpha.=0, i.e. when the direction of fast oscillations in the plate is
parallel to the transmission direction of the analyzer A.sub.1. At any
other orientation we can compute .delta. from the measured value of .phi.
from (3c). The simplest way to do it is to make 2.alpha.=45.degree.. Then
##EQU8##
Obviously, if the substance under investigation is both linearly and
circularly birefringent, the values of both these quantities can be
computed from the values of the signal's phase .phi. measured at
.alpha.=0.degree. and at any other value of .alpha., preferably at
.alpha.=22.5.degree..
Angle may be selected by rotation of either the polarizing analyzer or the
substance under investigation.
4. Measurements of the circular dichroism
The circular dichroism of a substance is characterized usually by the
difference of its molar absorption coefficients .epsilon..sub.d and
.epsilon..sub.l for the right-hand and left-hand circular polarized light:
.DELTA..sub.c =.epsilon..sub.d -.epsilon..sub.l
To measure .DELTA..sub.c by the proposed method and instrument, i.e. to use
the instrument as a spectrodichrograph, we have:
a. To replace the analyzer in one of the beams of light with rotating
polarization direction by the duly set Babinet-Soleil compensator which
acts as an achromatic quarter-wave plate, and to shut off the second beam.
b. To place the substance under investigation into the said beam of light
after the Babinet-Soleil compensator (the achromatic quarter-wave plate).
c. To measure the modulation coefficient of the electric signal generated
in the photodetector by the said beam of light passed first through the
compensator and then through the substance under investigation.
It is easy to show that the quarter-wave plate transforms the incident
light with the rotating polarization direction into the light which can be
described by the Stokes vector: [J; cos 2.omega.t; 0; -sin 2.omega.t]. The
intensity of the transmitted beam of light remains constant, but its
polarization state changes periodically from the left-hand circular
polarization at .omega.t=45.degree. to the right-hand circular
polarization at .omega.t =135.degree., passing through all the
intermediate states of elliptical polarization, including the linear
polarization at .omega.t=0.degree. and .omega.t=90.degree.. This light can
be regarded as a superposition of two light waves with the left-hand and
the right-hand circular polarization, whose intensities are proportional
to cos.sup.2 .omega.t and sin.sup.2 .omega.t respectively. When such light
passes through a dichroic substance whose transmittency has different
values T.sub.d and T.sub.l for the light right-hand and left-hand
circularly polarized light, the intensity of the light transmitted by the
substance, and therefore of the electric signal, is proportional to
I=1+M cos (2.omega.t)
where the modulation coefficient
##EQU9##
Let C be the molar concentration of the substance in the sample and L the
length of the way of light in it. Then
##EQU10##
The values of .DELTA..sub.A are usually very small. Practically they don't
exceed 10.sup.-3 to 10.sup.-2. We can therefore replace the hyperbolic
tangent by its argument and compute .DELTA..sub.c from
##EQU11##
5. Measurements of the linear dichroism
The linear dichroism of a substance can be characterized by the ratio of
its minimal and maximal transmittency for the light linearly polarized in
two orthogonal directions:
.DELTA..sub.1 =(T.sub.min /T.sub.max)
To measure the quantity .DELTA..sub.1 by the proposed method and instrument
we have:
To let the beam of light with the rotating polarization direction to pass
through the substance under investigation and to measure the modulation
coefficient of the electric signal generated in the photodetector by the
said beam of light.
Obviously,
##EQU12##
6. Measurements of light scattering
The scattering of light by a substance can be characterized either by its
turbidity T as defined by the Rayleigh equation:
##EQU13##
or by its scattering coefficients
##EQU14##
which describe the spatial distribution of the light scattered by the
substance.
Here J.sub.o is the intensity of the incident beam of light, J.sub.tr is
the intensity of light transmitted by the substance and J(.theta.) is the
intensity of light scattered at an angle .theta. to the direction of the
incident beam of light.
The turbidity of a substance can be measured obviously exactly as the
absorbency. To measure the scattering coefficients by the proposed method
and instrument, i.e. to use the instrument as a spectronephelometer, we
have:
a. To place a standard diffusor, whose coefficients of light scattering are
known, into one of the beams I or II after the corresponding analyzer and
to place the substance under investigation into the other beam;
b. To focus both the light scattered by the substance and the light
scattered by the standard diffusor at a definite angle to the direction of
the incident beam on the photodetector 8; a possible arrangement to do it
is shown on FIG. 2;
c. To measure the phase of the electric signal generated in 8 against the
reference signal produced in the detector 9 by the reflected part of the
beam II.
If .phi..sub.1 and .phi..sub.2 are the values of the said phase differences
measured with the substance under investigation being placed into the beam
I or into the beam II respectively, then
##EQU15##
where S(.theta.).sub.at are the known scattering coefficients of the
standard diffusor.
In the arrangement shown on the FIG. 2 the light is scattered by the
substance under investigation and by the standard diffusor at angle
.theta.=90.degree.. It is clear that it is possible also to measure by the
same way the scattering coefficients for any other values of .theta..
To investigate the scattering of the unpolarized light we have only to
place the depolarizer (or a duly oriented quarter-wave plate) between the
analyzer and the light scattering substance.
By putting duly oriented polarizers into the beams of scattered light one
can investigate the state of polarization of the scattered light too.
It is clear that the above description is by way of example only and that
it is possible to resort to various changes in the nature and arrangement
of parts without departing from the scope and spirit of the present
invention.
* * * * *
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