The invention will be more particularly described with reference to the accompanying drawings, in which:
Referring to the drawings, embodiments of the present invention will be described below. In the drawings to be referred to later, the same reference numerals are assigned to components having the same capabilities. An iterative description will be omitted.
Herein, a Bonse-Hart interferometer shown in
An X-ray interferometer having the splitter 33, mirror 34, and analyzer 35 thereof shaped and spaced with the precision of several micrometers or less should be adopted as the X-ray interferometer 20. Since the coherence length of X-rays is generally on the order of several micrometers to several tens of micrometers, such an X-ray interferometer enables to form an X-ray interference pattern of good visibility (a image formed by the first and second interference beams 36a and 36b). And actually measured signal intensity increases, measurement can be performed with highly precisely. When the thicknesses of the splitter 33, mirror 34, and analyzer 35 respectively are smaller, the spread of an X-ray beam in wafers is suppressed, and higher spatial resolution can be attained. However, according to consideration of mechanical strength, when the wafers are small parallelepipeds of about 5 mm in size, the thicknesses should be about several tens of micrometers or more. When the wafers are large parallelepipeds of about 20 mm in size, the thicknesses should range from 100 micrometers to about 1 mm. Moreover, a single crystal that hardly makes a transition, for example, a FZ silicon single-crystal ingot should be adopted as the base material of the X-ray interferometer 20. The crystal dislocation causes an X-ray beam to markedly deform. Therefore, the smaller the number of times of dislocation is, the better the quality of a formed X-ray interference pattern is.
A rotational mechanism having the precision of 1/200 arcsec. or more should be adopted as the X-ray interferometer aligning mechanism 21. The visibility of an X-ray interference pattern varies quite sensitively to the angle of incidence of X-rays. For example, even when the angle of incidence changes by only 1/100 arcsec., the visibility is degraded from 60% to 20%. Consequently, the employment of the mechanism offering the precision makes it possible to align the X-ray interferometer with the direction of the angle of incidence that enables formation of a highly visible X-ray interference pattern.
Moreover, the X-ray interferometer 20 is very sensitive to mechanical stress. Even when very small extraneous force acts on the X-ray interferometer, an X-ray interference patter is distorted. Therefore, the X-ray interferometer 20 should be placed on a flat base 37 positioned on the X-ray interferometer aligning mechanism 21. Moreover, the crystal wafers serving as the splitter 33, mirror 34, and analyzer 35 respectively are deformed with airflow around the X-ray interferometer or sound pressure derived from noises. Consequently, the X-ray interference pattern may be distorted. Therefore, the X-ray interferometer 20 and X-ray interferometer aligning mechanism 21 may be entirely hooded. In this case, the X-ray interferometer would be unsusceptible to the surroundings, and an excellent X-ray interference pattern could be formed.
When the reference object 24 has a shape and an internal density that are as analogous as possible to those of a sample, the positional gap on the analyzer 35 of a beam transmitted the sample and a beam transmitted the reference object 24, that is, degradation in visibility can be minimized. When the sample is a living body, a phantom simulating the region of the sample should be adopted as the reference object 24. For example, when the head of a small animal is measured, the reference object 24 is produced by firming the skull of an individual, which belongs to the same species as the small animal, using an organic material or the like so that the appearance thereof will resemble that of the small animal. In this case, for example, when the sample is a mouse, since the appearance of the mouse changes along with growth, reference objects resembling the sizes of mice whose ages range from one month to twelve months should be prepared. Moreover, when the sample is a biological tissues with disease, if a normal tissues is adopted as the reference object 24, only a change derived from a disease can be sampled.
An X-Z positional stage driven by a stepping motor can be adopted as the sample holder positioning mechanism 23 and reference object positioning mechanism 25 alike. Anyhow, the sample holder positioning mechanism 23 and reference object positioning mechanism 25 should be able to remotely position a sample and the reference object 24 respectively. Thus, the sample and reference object 24 can be accurately positioned with respect to respective beams. Eventually, a highly visible X-ray interference pattern can be formed.
A pickup tube Saticon or a combination of a scintillator, an optical focusing system (lenses or an optical fiber), and a CCD camera can be adopted as the X-ray image detector 28. Owing to the high X-ray detecting efficiency, highly precise measurement can be achieved for a shorter measurement time.
Next, a method of producing an image in which a phase difference caused by a sample is shown as a contrast will be described in relation to the first embodiment.
Referring to
I(x,y)=α(x,y)+c(x,y)exp(2πif0x)+c*(x,y)exp(−2πif0x) (10)
where α denotes a background intensity distribution having no relation to the interference fringes, A denotes the amplitude of the interference fringes, Δp denotes the phase difference between beams transmitted a sample and a reference object respectively, and fo denotes a spatial frequency in an x direction of moiré fringes. Moreover, * denotes a complex conjugate.
When the intensity distribution expressed by the equation (10) is Fourier-transformed into a function of a variable x, a spatial frequency spectrum IF(f,y) in the x direction is expressed by the equation (12) presented below. Herein, αF, cF, and cF* denote quantities Fourier-transformed from quantities of α, c, and c* in the equation (10).
I
F(f,y)=αF(f,y)+cF(f−f0,y)+cF*(f+f0,y) (12)
Assuming that the angle of the wedge 26 is determined so that the space between adjoining ones of moiré fringes will be sufficiently narrow for the structure of a sample, the values of the αF, cF, and cF* quantities in the equation (12) represent nearly perfectly separated spectra. At this time, the values of the cF or cF* quantity alone are sampled, and the fo values are zeroed. The resultant function is then inversely Fourier-transformed in order to obtain the quantity c containing information on a change in a phase. The phase difference Δp can be obtained by calculation of an argument.
Consequently, the shape of the reference object 24 and the internal density distribution thereof are known, the phase difference Δp″ in used X-ray energy caused by the reference object can be calculated. By simply subtracting the Δp″ value from the Δp value, the phase difference Δp′ caused by the sample can be obtained. The foregoing processing is performed by the processing unit 30. An image in which the phase difference Δp′ caused by the sample is shown as a contrast is displayed on the display unit 31.
At step 71 (measurement of a background), before a sample and a reference object are positioned, a background distribution (Δpo) of phase shifts is calculated using the Fourier transform method.
At step 72, the sample holder 22 and sample holder positioning mechanism 23 are used to place the sample on an associated optical path, and the reference object positioning mechanism 25 is used to place the reference object 24 on an associated optical path. The positions of the sample and reference object 24 are adjusted so that the positions will be nearly identical on the respective beams.
At step 73 (main measurement), a distribution (Δp1) of phase values that is a combination of the background distribution and a distribution of phase shifts affected by the sample and reference object is obtained.
At step 74, a distribution Δp (=Δp1−Δp0) of phase change values caused by the sample and reference object is calculated from the phase distributions obtained at steps 71 and 73 respectively.
At step 75, the phase distribution obtained at step 74 is used to calculate display data representing the distribution.
However, a spatial frequency of this method is generally determined by the space between adjoining ones of carrier fringes in an X-ray interference pattern formed by the wedge 26, and is therefore on the order of several hundreds of micrometers. Some samples cannot therefore be observed with sufficiently high spatial resolution because of the insufficient spatial frequency. This issue can be solved by adopting a sub-fringe measurement called a fringe scanning method described below. According to the fringe scanning method, the wedge 26 is moved orthogonally to X-rays using the wedge positioning mechanism 27 in order to change the phase of X-rays, and multiple interference patterns derived from different phase difference values are then formed. The formed interference patterns are used to calculate a phase shift. When M interference patterns are derived from phase shift values that vary in units of an equal value, a change in a phase Δp can be calculated according to the equation (13) presented below.
where Arg denotes calculation of an argument.
Similarly to the measurement based on the Fourier transform method, the shape of the reference object 24 and the internal density distribution thereof are known, a phase difference Δp″ in used X-ray energy caused by the reference object can be calculated, and a phase difference Δp′ caused by the sample can be obtained by simply subtracting the Δp″ value from a Δp value.
Incidentally, in the measurement based on the fringe scanning method, a phase shifter like the one shown in
The foregoing processing is performed by the processing unit 30 similarly to the processing to be performed using the Fourier transform method. An image in which a phase difference Δp′ caused by the sample is shown as a contrast is displayed on the display unit 31. Moreover, even a background distribution can be eliminated by employing the same measuring procedure as the one to be followed when the Fourier transform method is employed. Incidentally, a phase shift to be varied may be varied by an unequal or equal value each time. Moreover, the wedge 26 or phase shifter 38 is controlled by the control unit 29.
For simulation of the measurement employed in the first embodiment, a virtual sample having a shape shown in
On the other hand, when an analogous reference object is positioned on the other optical path according to the present invention, a highly visible interference pattern can be formed, and the sample can be accurately observed (
According to the first embodiment, a projection image in which a change in the phase of an interference beam caused by a sample is shown as a contrast can be produced. Even when the sample includes a region exhibiting a large density change, such as, bones or lungs and a region exhibiting a small density change, such as, biological soft tissues, the sample can be observed highly sensitively.
In the first embodiment, only transmitted image of a sample (a transmissive image) can be obtained. The second embodiment makes it possible to non-destructively observe the inside of a sample.
At step 111 (measurement of a background), before the sample and reference object are positioned, the Fourier transform method is used to obtain a background distribution (Δpo) of phase values.
At step 112, the sample holder 22 and sample holder positioning mechanism 23 are used to place the sample on an associated optical path, and the reference object positioning mechanism 25 is used to place the reference object 24 on an associated optical path. At this time, the positions of the sample and reference object 24 respectively are adjusted to be nearly identical on the respective beams.
At step 113 (main measurement), the Fourier transform method is used to obtain a distribution (Δp1) of phase values that is equivalent to a combination of the background distribution and a distribution of phase values affected by the sample.
At step 114, a distribution (Δp1-Δpo) of values of a phase change caused by the sample and reference object is calculated from the phase distributions obtained at steps 111 and 113 respectively.
At step 115, a decision is made on whether the steps 111 to 114 have been repeated with respect to equiangular positions over a required angle of rotation (=180°/Δr). If the decision is made in the affirmative (Yes), measurement is completed. If the decision is made in the negative (No) control is passed to step 117.
At step 116, the sample is temporarily withdrawn.
At step 117, the sample rotating mechanism 39 and reference object rotating mechanism 40 are used to rotate the sample and reference object 24 respectively by an angle Δr. Control is then returned to step 111, measurement is performed with the sample and reference object located at the rotated positions.
At step 118, if the decision is made in the affirmative at step 115, that is, if measurement has been repeated with respect to the equiangular positions over the required angle of rotation (=180°/Δr), display data representing the distribution Δp is calculated.
Data produced after the completion of the measurement is used to subtract a phase shift caused by the reference object from the phase change distribution. A tomographic image in which a phase change Δp caused by the sample is shown as a contrast is reconstructed by the processing unit 30, and then displayed on the display unit 31. For calculation for image reconstruction, an algorithm employed in general X-ray CT can be adopted. Moreover, the foregoing measurement procedure is controlled by the control unit 29.
According to the second embodiment, a tomographic image in which a change in the phase of an interference beam caused by a sample is shown as a contrast can be produced non-destructively. Even when the sample includes a region exhibiting a large density change, such as, bones or lungs and a region exhibiting a small density change, such as, biological soft tissues, the sample can be highly sensitively observed.
The X-ray interferometer 20 employed in the first and second embodiments is constructed with an monolithic crystal block. Therefore, the size of the interferometer is limited by the diameter of a crystal ingot that is used as a base material. This poses a problem in that an observational field of view of 2 cm or more wide cannot be offered. Described below is an example of an imaging apparatus in which the observational field of view of 2 cm or more wide can be offered by adopting a separated-type X-ray interferometer having the crystal block of the X-ray interferometer separated into two portions.
In the separated-type X-ray interferometer, a relative rotational movement made about a Z axis by the separated crystal blocks (41 and 42) is manifested as a variation in a phase difference between interfering beams. Consequently, the rotational movement has to be highly precisely controlled in order to achieve stable imaging. The relationship between the rotational movement Δθ and the variation Δφ in the phase of an interference beam is given is by the equation (14) presented below.
Δφ=2πΔθ(x+t)/d (14)
where t denotes the thickness of the fourth wafer 48, x denotes the space between the third wafer 47 and fourth 20 wafer 48, d denotes the lattice spacing of Laue diffraction, and θB denotes a Bragg angle. According to the equation (14), assuming that Si (220) crystal (d=0.192 nm) diffraction is used, when conditions are such that a wavelength λ is 0.07 nm, the thickness t is 1 mm, the space x is 63 mm, and the Bragg angle θB is 10.5°, the rotational movement Δθ relevant to the variation Δφ of 2π is approximately 2 nano radian. Consequently, for stable measurement, the rotational movement Δθ should be controlled with the positioning precision of at least a sub-nano radian.
In order to attain the above positioning precision, according to the third embodiment, the crystal blocks are positioned by a set of stages (a first θ table 50 responsible for rotation about a θ axis of an entire interferometer, a second θ table 51 that rotates the second crystal block 42 about the θ axis, and a tilt table 52 that rotates the first crystal block 41 about a φ axis) whose mechanical rigidity are improved by using a solid bearing mechanism that is made of a slippery material exhibiting nearly identical coefficients of dynamical friction and statical friction. A high-precision positioning mechanism 53 that employs a piezoelectric element or the like is used for the second θ table 51 that is requested to be positioned with the precision of a sub-nano radian. Moreover, the set of stages is positioned on a vibration isolated table 64 in order to minimize the adverse effect of floor vibration or the like. Furthermore, a control mechanism for controlling the rotations of the crystal blocks using a feedback loop is newly added to the control unit 29 in order to suppress a drift in the long-term rotational movement Δθ.
The control mechanism is realized with a mechanism that controls the rotation of the second θ table 51 via the positioning mechanism 53 so as to cancel a variation in the intensity of the interference beam 49a, which is detected by the detector 54, caused by a drift in the rotational movement Δθ. Moreover, if the drift in the rotational movement Δθ cannot be fully suppressed by merely detecting the intensity of the interference beam due to a variation in the intensity of incident X-rays, a two-dimensional detector can be adopted as the detector 54. Moreover, an X-ray interference pattern itself is detected, and the control mechanism is realized with a mechanism that controls the rotation of the second θ table 51 so as to cancel a drift movement of moiré fringes appearing in the interference pattern.
The sample holder 55, sample holder positioning mechanism 56, and reference object positioning mechanism 57 have the same structures as those included in the first embodiment, and also have the same capabilities as the sample holder rotating mechanism 39 and reference object rotating mechanism 40 included in the second embodiment. Consequently, the inside of a sample can be observed non-destructively by performing the same measurement as that employed in the second embodiment. Moreover, as the reference object 24, the same object as that employed in the first embodiment is adopted.
Measurement is performed in the same manner as it is performed in the first and second embodiments. Based on acquired data, an image in which a change in a phase Δp is shown as a contrast is displayed on the display unit 31.
According to the third embodiment, a projection image or a tomographic image in which a change in the phase of an interference beam caused by even a large sample whose size exceeds 2 cm is shown as a contrast can be non-destructively produced. Even a sample that includes a region exhibiting a large density change, such as, bones or lungs and a region exhibiting a small density change, such as, biological soft tissues can be highly sensitively observed.
As an example of diagnostic systems that take advantage of the imaging method in accordance with the present invention that the imaging method is highly sensitive to light elements and suitable for observation of biological soft tissues made mainly of the light element, a mammography system is proposed.
The X-ray protection wall 58 is interposed between an X-ray source 61 and the magnification asymmetric crystal plate 60, blocks unnecessary X-rays out of X-rays irradiated from the X-ray source 61, and is realized with a thick wall whose material contains lead or the like. The X-ray protection wall 58 can block nearly 100% in terms of the intensity of X-rays. The X-ray protection cover 59 covers the magnification asymmetric crystal plate 60 as well as an X-ray interferometer and other major components of the X-ray imaging apparatus. The X-ray protection cover 59 prevents scattering X-rays, which are caused by the wafers (43, 46, 47, and 48) included in the X-ray interferometer, from falling on a subject 62, the X-ray image detector 28, and the detector 54 alike. Since the intensity of the scattering X-rays is not so strong, an acrylic plate containing lead or an iron plate to which a thin lead sheet is bonded can be adopted as the X-ray protection cover. The X-ray protection cover is, as shown in
Distortions or the like of the second wafer 46 included in the first crystal block 41 and the third wafer 47 included in the second crystal block 42 respectively which are caused by heat emitted from the subject 62 can be suppressed by separating the subject 62 from the wafers by a distance of 30 cm or more. Moreover, an adverse effect of floor vibration occurring when the subject 62 is coming or leaving can be suppressed by adopting vibration isolating table 64 carrying the magnification asymmetric crystal plate 60 and X-ray interferometer. The vibration isolating table 64 is also shaped to be concave near the place where the subject lies down, and is structured for fear the subject may come into contact with the vibration isolating table. In efforts to realize measurement ensuring high reproducibility, the second θ table 51 is positioned through feedback control that resembles the one employed in the third embodiment.
As the reference object 24, a gel-type organic member which is shaped like an object 63 by measuring the subject 63 in advance without use of X-rays (the density is nearly the same as the density of a biological soft tissue that is the object) should be adopted. Otherwise, when the object 63 is stretched thinly using flat plates in the same manner as it is during measurement performed by a mammography system, a D-shaped organic member having the same thickness as shown in
Using the apparatus, the measurement is, as described in relation to the first embodiment, performed according to the procedure described in the flowchart of
Number | Date | Country | Kind |
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2006-197713 | Jul 2006 | JP | national |