A holographic reconstruction apparatus according to an embodiment obtains, when reconstructing a recorded data signal (hereinafter referred to as “recording data”) from reconstruction light, a reconstructed image formed by a light-receiving element using reconstruction light generated by a reference light pattern (first reference light pattern) used in recording the recording data (hereinafter referred to as “at the time of recording”) and a reconstructed image formed on a surface of the light-receiving element of an array optical detector using reconstruction light generated by a reference light pattern (second reference light pattern), which is a reversal pattern of the reference light pattern used at the time of recording, and calculates the difference between values of pieces of reconstruction data (first reconstruction data and second reconstruction data) obtained as electric signals according to the reconstructed images, thereby reducing degenerate noise components included in the reconstructed images. Accordingly, unlike the related art in which the recording data is reconstructed using only the first reconstruction data as the reconstruction data, according to the embodiment, the recording data is reconstructed using the difference between the values of the first reconstruction data and the second reconstruction data as the reconstruction data, thereby improving the reconstruction quality.
The relationship between the reference light pattern used at the time of recording and the reversal pattern corresponds to the relationship between two types of patterns in which whether each of pixels arranged at the same positions on a two-dimensional plane allows passage of light or not (that is, blocks light) is reversed. That is, in the case that one reference light pattern is specified, when one pixel of the reference light pattern is a transmissive pixel, the pixel at the same position of a corresponding reversal pattern is a light-blocking pixel. Reference light passing through such a reversal pattern is referred to as “reversal reference light” in the following description. A degenerate noise component is a component of a reconstructed signal generated by reconstruction light diffracted from a hologram formed by undesired mutual interference of light beams.
A holographic recording/reconstruction apparatus according to an embodiment is a so-called coaxial holographic recording/reconstruction apparatus. A spatial light modulator applies spatial modulation on a light beam emitted from a laser light source to form a predetermined reference light pattern for generating reference light and a signal light pattern according to the recording data on the same plane. As has been described above, the method used by the holographic recording/reconstruction apparatus having the function of removing degenerate noise at the time of reconstruction is not limited to a coaxial method, and may be a two-beam method. However, the coaxial method has better recording/reconstruction quality.
A brief description of a holographic recording/reconstruction apparatus including a holographic recording apparatus and a holographic reconstruction apparatus according to an embodiment will now be given, which is followed by a brief description of the principle of holographic recording/reconstruction according to the embodiment and a description of specific recording and reconstruction processes.
Description of Holographic Recording/Reconstruction Apparatus
Referring to
The above-described process is a coaxial holographic signal recording process. This recording process is under control of a controller 22, which are described in detail later. Regarding the above-mentioned signal light pattern and reference light pattern, the spatial light modulator 13 includes, for example, liquid crystal so that whether each of the pixels belonging to the signal light pattern and the reference light pattern allows passage of or blocks light can be easily controlled by an electric signal from the controller 22.
Next, a coaxial reconstruction process will now be described. A light beam emitted from the laser light source 11 passes through the collimating lens 12 and enters the spatial light modulator 13. To reconstruct data, all the pixels in the signal light area act as light-blocking pixels, thereby blocking the light beam in the area of the signal light 14 and reducing the light intensity to zero. From the reference light area in which the same reference light pattern as that used at the time of recording is formed, only the reference light 15 is obtained, on which spatial modulation has been applied in the same manner as in the time of recording. The reference light 15 passes through the condensing lens 18 and is focused on the hologram in the holographic recording medium 19. By emitting the reference light 15, light diffracted from the hologram in the holographic recording medium 19 passes with a light intensity pattern through a condensing lens 20, and an image is formed on an imaging surface of an array optical detector 21. An image pickup device, such as a charge-coupled device (CCD) or a complementary metal-oxide semiconductor (CMOS), may be used as the array optical detector 21. The imaging surface of the image pickup device has an array of spatially-divided very small areas (pixels). This reconstruction process is under control of the controller 22, which is described in detail later. The light intensity at each of the two-dimensional pixels of the array optical detector 21 is obtained as one-dimensional time-series reconstruction data by the controller 22.
Principle of Holographic Recording/Reconstruction
The principle of holographic recording of the holographic recording/reconstruction apparatus 10 will now be described in more detail with reference to
K
ijkl
=P
ij
−P
kl (1)
Each of the two-dimensionally-separated pixels of the array optical detector 21 are similarly given two-dimensional coordinates in the following description. In the case that reference light coming from a reference light pixel (m, n) in the vicinity of the reference light pixel (k, l) is emitted to the grating vector Kijkl expressed as equation (1), a reconstructed image emitted as diffracted light is diffracted to a pixel Pm+i−k, n+j−l, which is a pixel of the array optical detector 21. In this case, a black mismatch ΔPz and a diffraction efficiency η are expressed as:
where L is the thickness of the recording layer of the holographic recording medium.
In the coaxial holographic recording/reconstruction, for each of the pixels of the array optical detector 21 on which a reconstructed image is formed, the total number of light components diffracted from all the neighboring pixels, including diffracted light components from the neighboring pixels expressed as equation (2) and expression (3), is reconstructed as noise components together with the original reconstructed image. These noise components constitute degenerate noise. The degenerate noise causes degradation of quality of a recorded/reconstructed signal.
Degenerate noise included in a reconstructed image detected in the case that reference light from a reference light pattern at the time of recording is used has substantially the same components as those of degenerate noise included in a reconstructed image detected in the case that reference light from a corresponding reversal pattern is used. The reconstructed image based on the reference light obtained using the reversal pattern contains no components generated by signal light used at the time of recording. The principle of holographic reconstruction according to the embodiment focuses on the above two points and calculates the difference between the two images, thereby reducing the degenerate noise included in the reconstructed image detected using the reconstruction light obtained from the same reference light pattern as that used at the time of recording.
Result of Numerical Analysis
On the basis of equations (1) and (2) and expression (3), the result of reducing the degenerate noise is evaluated using a numerical analysis (simulation).
As is clear from
The above description concerns the result of removing the noise at the signal light pixel (0, 0), which is one pixel at the center of the signal area. Similar processing is also applied on a signal light pixel (120, 0), which is a pixel placed on the outer periphery of the signal area, and the processing result is shown in
Next, the result of the case in which, instead of the above-described random pattern, a complex pattern of radial lines and concentric circles shown in
Further, the result of the case in which a radial pattern shown in
Although the above description concerns the case in which the random pattern, the complex pattern of radial lines and concentric circles, or the radial pattern is used as a reference light pattern, other reference light patterns may also achieve the advantage of reducing the degenerate noise. Although the coaxial method in which the signal light pattern and the reference light pattern are completely separated into two areas has been described above by changing the reference light pattern to various patterns, the embodiment can be implemented in other various ways. For example, even in the coaxial method, the signal light pattern and the reference light pattern may be divided into arbitrary areas in a cross section of the optical beam.
Not only the calculation result (value of after-calculation reconstruction data ΔDi) is obtained from the difference between the value of the reconstruction data D1i, which is the reconstructed signal based on the reference light pattern, and the value of the reversal reconstruction data D2i, which is the reconstructed signal based on the reversal pattern, but also the following may be possible. That is, one of the reconstruction data D1i and the reversal reconstruction data D2i may be multiplied by a predetermined coefficient k to yield new reconstruction data Dk1i or new reversal reconstruction data Dk2i, and the difference between the reconstruction data Dk1i and the reversal reconstruction data D2i or the difference between the reconstruction data D1i and the reconstruction data Dk2i may be obtained, thereby generating the after-calculation reconstruction data ΔDi. Although the above description concerns the case in which the transmissive pixel of the signal pattern includes only the signal light pixel (0, 0) or the signal light pixel (120, 0), the same advantage of improving the S/N ratio of the reconstructed signal can be achieved by performing the above calculation for all the pixels in the case that any combination of all the signal light pixels serves as transmissive pixels.
Specific Recording and Reconstruction Processes
Referring back to
Next, the reconstruction process will now be described. The controller 22 controls the laser light source 11 to emit a light beam with intensity suitable for reconstruction. The controller 22 displays the same reference light pattern as that used at the time of recording on the spatial light modulator 13. In this case, the reference light pattern is stored in advance in a predetermined storage area of a random access memory (RAM) of the controller 22. Accordingly, diffracted light is generated, thereby displaying a reconstructed image on the array optical detector 21 via the condensing lens 20. An electric signal according to the luminance of the reconstructed image at each of the pixels of the array optical detector 21 is scanned in a time-series manner, detected as reconstruction data D1i by the A/D converter, and stored in a first predetermined storage area of the RAM of the controller 22.
Next, the controller 22 displays a reversal pattern of the same reference light pattern as that used at the time of recording on the spatial light modulator 13. In this case, as is the case with the reference light pattern, the reversal pattern is also stored in advance in a predetermined storage area of the RAM of the controller 22. By emitting reference light passing through the reversal pattern onto the holographic recording medium 19, diffracted light is generated, thereby displaying a reconstructed image on the array optical detector 21 via the condensing lens 20. Reversal reconstruction data D2i according to the luminance of the reconstructed image at each of the pixels arranged in two dimensions of the array optical detector 21 is scanned as one-dimensional time-series data, detected by the A/D converter, and stored in a second predetermined storage area provided in the controller 22.
In the first predetermined storage area and the second predetermined storage area, a storage area is reserved for each pixel of the array optical detector 21, and a piece of storage data is stored in that storage area. Therefore, the controller 22 reads the reconstruction data D1i from the first predetermined storage area and the reversal reconstruction data D2i from the second predetermined storage area, which correspond to the same pixel, multiplies the reconstruction data D1i in the first predetermined storage area by the predetermined coefficient k to yield the new reconstruction data Dk1i, subtracts the reversal reconstruction data D2i from the new reconstruction data Dk1i to obtain the after-calculation reconstruction data ΔDi. Here, the value of the predetermined coefficient k is a positive real number set in advance by experiment such that a maximum S/N ratio can be obtained. Alternatively, instead of subtracting the reversal reconstruction data D2i from the new reconstruction data Dk1i, which is obtained by multiplying the reconstruction data D1i in the first predetermined storage area by the predetermined coefficient k, the reversal reconstruction data D2i may be multiplied by the predetermined coefficient k to yield the new reversal reconstruction data Dk2i, and the new reversal reconstruction data Dk2i may be subtracted from the reconstruction data D1i in the first predetermined storage area to obtain the after-calculation reconstruction data ΔDi.
Accordingly, the controller 22 calculates the after-calculation reconstruction data ΔDi, which is difference data corresponding to each of the pixels. Error correction is applied on the after-calculation reconstruction data ΔDi in predetermined sections, whereby the recorded data is reconstructed. Even in the case that the value of the predetermined coefficient is one, that is, the data is not multiplied by the predetermined coefficient k, a sufficient advantage of improving the S/N ratio can be achieved. Recording data that may not be reconstructed only using the reconstruction data D1i can be reconstructed using the after-calculation reconstruction data ΔDi. A more satisfactory reconstruction quality can be achieved by multiplying the reconstruction data by the predetermined coefficient k other than one.
Even in the case of recording data that may not be reconstructed using the after-calculation reconstruction data ΔDi obtained simply by subtracting the reversal reconstruction data D2i from the reconstruction data D1i, a more satisfactory reconstruction quality can be achieved by using the after-calculation reconstruction data ΔDi obtained by multiplying the reconstruction data by the predetermined coefficient k. A desired value of the predetermined coefficient k depends on the reference light pattern and the signal light pattern. Thus, further improvement of the S/N ratio can be achieved by setting in advance the value of the predetermined coefficient k according to the reference light pattern whose details are known in advance.
Alternatively, the value of the predetermined coefficient k may be changed as necessary in units of pages such that the bit error rate in the error correction processing can be minimized. More specifically, the same page is repeatedly reconstructed while sequentially changing the value of the predetermined coefficient k, and the value of the predetermined coefficient k with the smallest bit error rate is set as a fixed value. Using this fixed value, related pages can be reconstructed. Accordingly, a signal that may not be reconstructed without performing such processing to improve the S/N ratio can be reconstructed in a highly satisfactory manner without errors.
As has been described above, the most satisfactory S/N ratio can be achieved in the case that the random pattern shown in
Although the above embodiment has been described using the coaxial method by way of example, this noise reducing technique is effective not only in the coaxial method, but also in the two-beam method. In a two-beam holographic optical system, however, a black mismatch noise component expressed as equation (2) and expression (3) is generated. That is, a condition for ΔPz≠0 and η≠0 indicates that the reference light beam has an angular distribution relative to a plane formed by the signal light beam and the reference light beam. In other words, in the case of no angular distribution, ΔPz=0 and η≠0. Hence, no degenerate noise component is generated, and the above-described noise removing technique becomes invalid.
In order to satisfy the condition, it is necessary that the reference light beam be focused in a direction perpendicular to the plane formed by the signal light and the reference light.
In the holographic recording/reconstruction apparatus 50, a light beam emitted from the laser light source 11 passes through the collimating lens 12 and is split by a light beam splitter 23 into two light beams in two directions. The light beam in a straight direction enters the spatial light modulator 13. The spatial light modulator 13 modulates the light beam to generate an intensity-modulated light beam, which in turn is collected by the condensing lens 18 to generate signal light 14. In contrast, the optical beam reflected at right angle by the light beam splitter 23 is reflected by mirrors 26 and 27 and passes through a condensing lens 28 and a collimating lens 29, and the intensity of the optical beam is modulated by a spatial light modulator 30. The spatial light modulator 30 has substantially the same structure as that of the spatial light modulator 13. A cylindrical lens 31 collects the light beam in a direction perpendicular to the page to generate reference light 15. The signal light 14 and the reference light 15 are focused into the holographic recording medium 19 and intersect each other to form an interference pattern, whereby a hologram is formed. The above description concerns a signal recording procedure.
Next, a reconstruction procedure using the two-beam method is described. A light beam emitted from the laser light source 11 passes through the collimating lens 12 and the light beam splitter 23 and enters the spatial light modulator 13. In the case of reconstruction, the spatial light modulator 13 blocks the light beam in a signal optical path, whereby the light intensity becomes zero. In contrast, the light beam reflected at right angle by the light beam splitter 23 passes through the mirrors 26 and 27, the condensing lens 28, and the collimating lens 29, and then the intensity of the light beam is modulated by the spatial light modulator 30. The cylindrical lens 31 focuses the light beam as reference light 15 onto the hologram in the holographic recording medium 19. The reference light 15 diffracted from the hologram in the holographic recording medium 19 is collected by the condensing lens 20 to form a pattern having a light-intensity distribution, whereby an image is formed on the imaging surface of the array optical detector 21.
At the time of reconstruction, the reference light pattern of the spatial light modulator 30 is the same reference light pattern as that used at the time of recording. The reference light is emitted to the holographic recording medium 19 and collected by the condensing lens 20, whereby a reconstructed image is formed by diffracted light on the imaging surface of the array optical detector 21. On the basis of the reconstructed image, reconstruction data D1i is generated and transferred into the controller 22. Then, using a reversal pattern of the reference light pattern of the spatial light modulator 30, reversal reference light is emitted to the holographic recording medium 19 and collected by the condensing lens 20, whereby a reconstructed image is formed by diffracted light on the imaging surface of the array optical detector 21. On the basis of the reconstructed image, reconstruction data D2i is generated and transferred into the controller 22. In this manner, an advantage similar to the advantage of removing the degenerate noise in coaxial holography can also be achieved by the recording/reconstruction apparatus using the two-beam method.
It should be understood that various changes and modifications to the presently preferred embodiments described herein will be apparent to those skilled in the art. Such changes and modifications can be made without departing from the spirit and scope of the present subject matter and without diminishing its intended advantages. It is therefore intended that such changes and modifications be covered by the appended claims.
Number | Date | Country | Kind |
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2006-137156 | May 2006 | JP | national |