This application is based upon and claims the benefit of priority of the prior Japanese Patent Application No. 2012-192518, filed on Aug. 31, 2012, the entire contents of which are incorporated herein by reference.
The embodiment discussed herein is related to an optical signal receiving apparatus, optical signal receiving method, and optical frequency-division-multiplexing transmission system that superimpose sub-carrier modulation signals on a carrier optical signal and transmit the resulting signal.
Technologies for multiplexing optical signals having different wavelengths (optical carrier frequencies) include wavelength division multiplexing (WDM). WDM performs base-band modulation on multiple carrier optical signals having different wavelengths and multiplexes or demultiplexes the resulting signals using an optical multiplexer or demultiplexer. Accordingly, to multiplex signals at narrow wavelength (frequency) intervals, transmission apparatuses and a wavelength demultiplexer have to control the wavelength very accurately. This makes it difficult to multiplex signals at narrow wavelength (frequency) intervals.
Another such technology is optical frequency-division-multiplexing (optical FDM). In FDM, transmission apparatuses (optical multiplexing apparatuses midway through an optical transmission line) superimpose data signals having different sub-carrier frequencies on a carrier wave and multiplex the signals, whereas receiving apparatuses electrically demultiplex the signals (for example, see Japanese Laid-open Patent Publication No. 2011-215603).
Optical FDM can multiplex signals at high density, because the receiving apparatuses can demultiplex the signals using a typical narrow-band high-frequency filter. The transmission apparatuses superimpose, on a carrier optical signal, modulation signals which are superimposed on control light, by using nonlinear optical media, as well as using cross phase modulation (XPM) effects between the carrier optical signal and control light.
In optical FDM, for example, sub-carrier modulation signals phase-modulate a carrier optical signal having a single wavelength (optical frequency) using nonlinear optical media disposed midway through an optical transmission line. Thus, different data signals can be superimposed on the carrier optical signal. Since the transmission apparatuses do this with different sub-carrier frequencies, it is possible to realize frequency division multiplexing, in which the transmission apparatuses superimpose data signals on a single carrier optical signal. The receiving apparatuses can receive the data signals transmitted by the transmission apparatuses by extracting only single-sideband components of the received modulation signals using an optical filter. Since optical FDM superimposes multiple data signals on a single carrier optical signal, the receiving apparatuses only have to receive the carrier optical signal alone. For this reason, the configuration of the receiving apparatuses can be simpler than in WDM.
However, when a photodetector attempts to receive and square-law detect the carrier optical signal and sub-carrier modulation signals collectively in optical FDM, the photodetector has difficulty in receiving the sub-carrier modulation signals as they are. The reason is that when the photodetector receives both sidebands of the sub-carrier modulation signals simultaneously, data modulation components thereof are cancelled out and lost.
For this reason, in optical FDM described above, it is considered to pass the sub-carrier modulation signals through chromatic dispersion media having chromatic dispersion characteristics and then receive the signals. By passing the sub-carrier modulation signals through chromatic dispersion media, such as a single-mode optical fiber (SMF), dispersion compensation fiber (DCF), fiber Bragg grating (FBG), or Etalon filter, to add dispersion to the signals, it is possible to receive the phase-modulated signals as optical intensity signals. However, there is a physical limit to the amount of dispersion added by chromatic dispersion media. For this reason, when the amount of dispersion is less than the desirable amount, or when a too much amount of dispersion is added, the received signals become distorted, and reception strength is reduced. The optimum amount of dispersion also depends on the frequency band in which the sub-carrier modulation signals are superimposed, so as to demultiplex the base-band signals and sub-carrier modulation signals.
As seen above, in optical FDM, the amount of chromatic dispersion has to be set properly to extract the sub-carrier modulation signals as optical intensity signals. The amount of chromatic dispersion also has to correspond to chromatic dispersion characteristics of the optical transmission line or the sub-carrier frequencies of the multiple transmission apparatuses on the optical transmission line.
According to an aspect of the embodiment, an optical signal receiving apparatus includes: a chromatic dispersion medium having an amount of chromatic dispersion which is determined according to a frequency of the sub-carrier modulation signals so as to receive the sub-carrier modulation signals, a photodetector configured to convert the carrier optical signal that has passed through the chromatic dispersion medium, into electrical signals, and a signal receiving unit configured to receive an electrical signal selected from the electrical signals obtained by the photodetector.
The object and advantages of the invention will be realized and attained by means of the elements and combinations particularly pointed out in the claims.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are not restrictive of the invention, as claimed.
Now, a preferred embodiment of the disclosed technology will be described in detail with reference to the accompanying drawings.
In an optical frequency-division-multiplexing (optical FDM) transmission system 100, n number of optical multiplexing apparatuses 102 each including a nonlinear optical medium are disposed midway through an optical transmission line 101 through which carrier optical signals, such as CW light, are transmitted. The optical multiplexing apparatuses 102 superimpose n number of frequency-division-multiplexing signals on a carrier optical signal and transmit the resulting signals, whereas multiple receiving apparatuses 103 each receive the signals collectively.
The optical multiplexing apparatuses 102 disposed midway through the optical transmission line 101 each include a control light generation unit 111, an optical multiplexer 112, and a nonlinear optical medium 113. The control light generation unit 111 generates control light Esj, which is a sub-carrier modulation signal having a sub-carrier frequency fj. The sub-carrier frequency fj is slightly distant from the frequency νc of the carrier optical signal. The optical multiplexer 112 multiplexes the carrier optical signal Ec(j-1) (optical frequency νc) and the control signal Esj generated by the control light generation unit 111. The nonlinear optical medium 113 cross-phase-modulates the carrier optical signal using the control light. In this way, the optical multiplexing apparatuses 102 superimpose the frequency-division-multiplexing signals νc±fj on the carrier optical signal over a wide band.
The receiving apparatuses 103 are disposed subsequent to an optical demultiplexer 104. Each receiving apparatus 103 includes a chromatic dispersion medium 121 that adds the wavelength to a given amount of dispersion, a photodetector (PD) 122 that converts an optical signal optically received via the chromatic dispersion medium 121 into an electrical signal, and a signal receiving unit that performs an electrical reception process on the basis of the electrical signal outputted by the PD 122. The signal receiving unit includes a band-pass filter 123 that allows only a desired modulation signal to pass therethrough, a phase synchronization circuit 124 that phase-synchronizes and detects electrical signals which have transmitted through the band-pass filter, and a data processing unit that is disposed subsequent to the phase synchronization circuit 124 and performs data processing on the received signals.
The amounts of chromatic dispersion of the respective chromatic dispersion media 121 of the receiving apparatuses 103 are set to different values corresponding to the frequencies of the respective sub-carrier modulation signals of the optical multiplexing apparatuses 102 (details will be described later). Thus, the receiving apparatuses 103 can extract data modulation components from the sub-carrier modulation signals received from the optical multiplexing apparatuses 102.
In the nonlinear optical medium 113, an intensity modulation signal fN superimposed on the signal light is transcribed into the carrier optical signal due to cross-phase modulation (XPM) effects and propagated. Since the optical multiplexing apparatuses 102 multiplex the signal light one after another, it is possible to achieve an ultra-wideband optical frequency-division-multiplexing transmission system which uses broadband characteristics of the nonlinear optical media 113. As illustrated in
A sub-carrier modulation signal E(t) can be represented as in Formula (1) below.
In Formula (1), E represents the field amplitude; ω0 represents the optical frequency of a carrier optical signal; ω represents the sub-carrier modulation frequency; maj(t) represents the amplitude data modulation; mpj(t) represents the phase data modulation; and φ0j represents the initial phase. This formula is represented as the sum of frequency components (ω0, ω0+ω, ω0−ω) as in Formula (2) below by using Bessel functions.
J1 is the first-order Bessel function of the first kind, and a propagation constant β is considered to be sufficiently small. Accordingly, the zero-order Bessel function J0 is 1, and the second-order and later terms are ignored. The optical power (t)=|E(t)|2 of this sub-carrier modulation signal is represented by Formula (3) below.
P(t)=E2 (3)
Since β is considered to be sufficiently small, J0=1 and J12=0. When the photodetector (PD) 122 of the receiving apparatus 103 square-law detects the signals, data modulation component terms mpj and maj are lost. Accordingly, when the photodetector 122 attempts to convert all frequency components of the sub-carrier modulation signals into electrical signals, the photodetector 122 has difficulty in receiving the sub-carrier modulation signals as they are. For this reason, when the receiving apparatus 103 receives the sub-carrier modulation signals, the chromatic dispersion medium 121 or birefringence medium extracts the data modulation components of the sub-carrier modulation signals as optical intensity signals. An alternative approach is to extract only single-sideband components using a steep optical filter. Among these approaches, the chromatic dispersion medium 121 is the most low-cost and easily available.
Commercially available examples of the chromatic dispersion medium 121 include typical single-mode optical fibers (SMFs) or dispersion compensation fibers (DCFs), fiber Bragg gratings (FBGs) that control the amount of dispersion, and Etalon filters. The receiving apparatus 103 can extract the data modulation components of the sub-carrier modulation signals as optical power components by using the chromatic dispersion medium 121 as described above. The field of a sub-carrier modulation signals that has passed through the chromatic dispersion medium 121 having a propagation constant 13 and a length L is represented by Formula (4) below.
E′(t)=E(t)exp(iβ(ω)L) (4)
β is the propagation constant of the chromatic dispersion medium 121. Taylor series expansion around a frequency ω0 is represented by Formula (5) below.
β(ω)=β0+β1(ω−ω0)+½β2(ω−ω0)2 (5)
Accordingly, Formula (6) below is obtained.
Thus, different group delays are given to the terms of Formula (2) above, obtaining Formula (7) below.
By considering up to the second-order dispersion, Formula (8) below is obtained.
The optical power that has passed through the chromatic dispersion medium can be obtained by Formula (9) below.
Thus, the data modulation components can be detected. From Formula (9), the data modulation components are maximized when sin(½·β2ωj2L)=±1.
The optimum length of the chromatic dispersion medium 121 is represented by Formula (10) below.
In Formula 10, λ0 represents the center wavelength (λ0=2πc/ω0), and D represents the amount of dispersion of chromatic dispersion (D=2πcβ2/λ02).
For example, when λ0 is 1.55 μm and the sub-carrier modulation frequency f is 6 GHz, the optimum dispersion amount D×L is 730 ps/nm. When dispersion is added using only a single-mode fiber (D=16 ps/nm/km), Lopt=is 108 km. From Formula (9) above, Formula (11) below is used as a condition to obtain an efficiency such that the amplitude of the data modulation signal falls within −3 dB.
Accordingly, Formula (12) below is obtained as an optimum condition.
⅓Lopt<L<5/3Lopt (12)
Assuming that the amount of dispersion of the chromatic dispersion medium 121 is fixed, a frequency band satisfying the efficiency such that the amplitude of the data modulation signal falls within −3 dB is represented by Formula (13) below.
For example, when λ0=1.55 μm and D×L=1730 ps/nm, 3.5 GHz<f<7.7 GHz.
As described above, the chromatic dispersion medium 121 adds appropriate dispersion; the photodetector 122 collectively receives the carrier optical signal having the multiplexed signals superimposed thereon; and then the band-pass filter (BPF) 123 electrically extracts and detects desired modulation frequencies (f1 to fN). In this way, intensity modulation signals are obtained.
The optical multiplexing apparatuses 102 are disposed on the optical transmission line 101. A signal to be multiplexed by each optical multiplexing apparatus 102 is not limited to a single sub-carrier modulation signal and may be a multiplexed signal obtained by combining independent multiple sub-carrier modulation signals.
Examples of optical cross-modulation that the optical multiplexing apparatus 102 performs using the nonlinear optical medium 113 include optical phase modulation based on cross-phase modulation and optical intensity modulation based on optical parametric effects. Examples of the nonlinear optical medium 113 include optical fibers, periodically poled lithium niobate, semiconductor optical amplifiers, and high-index contrast optical waveguides, such as a silicon wire waveguide. Examples of the optical fiber include high nonlinear optical fibers (HNLFs), as well as fiber or waveguide configurations having a nonlinear index of refraction increased by doping the core with germanium or bismuth, fiber or waveguide configurations having an optical power density increased by reducing mode field, fiber or waveguide configurations using chalcogenide glass, and photonic crystal fiber or waveguide configurations.
Other examples of the nonlinear optical medium include semiconductor optical amplifiers having a quantum well structure, quantum-dot semiconductor optical amplifiers, and silicon-photonics waveguides. Another example of the nonlinear optical medium is devices that produce second-order nonlinear optical effects, such as three wave mixing. These devices may use, for example, a LiNbO3 waveguide having a quasi-phase-matching structure, a GaAlAs element, or second-order nonlinear optical crystal. Optionally, after performing optical cross-modulation in a second-order nonlinear optical medium, only the carrier optical signal is extracted using an optical filter, and the control light is separated.
Effects of Dispersion in Optical FDM Transmission
As illustrated in a characteristic diagram 210 of
For example, the amount of chromatic dispersion when receiving a sub-carrier frequency of 1 GHz is 62400 ps/nm. Such an amount of chromatic dispersion is difficult to obtain using a SMF. In contrast, the amount of chromatic dispersion when receiving a sub-carrier frequency of 10 GHz is 624 ps/nm. As seen above, the amount of dispersion desirable for the latter signal having a ten-times higher frequency than the former is one-hundredth of that of the former. When the received sub-carrier signal has a lower frequency, a much greater amount of chromatic dispersion has to be added disadvantageously. In contrast, when the sub-carrier signal has a higher frequency, a smaller amount of chromatic dispersion is added. However, the cost of the optical component or electric component is increased. Accordingly, it is desirable to set an appropriate operating frequency range in terms of chromatic dispersion.
Chromatic Dispersion Medium Disposed in Receiving Apparatus
For example, as illustrated in
Generally, a commercially available chromatic dispersion medium 121 having a greater amount of dispersion is more costly. Accordingly, use of the optical transmission line 101 as a positive chromatic dispersion medium can reduce cost compared to use of a negative chromatic dispersion medium.
Frequencies of Sub-Carrier Modulation Signals and Positions of Nodes in Optical FDM Transmission
For example, the amount of dispersion that a modulation signal f1 receives from the optical transmission line 101 is D1+D2+ . . . DN; the amount of dispersion that a modulation signal f2 receives from the optical transmission line 101 is D2+ . . . DN; and the amount of dispersion that a modulation signal fN receives from the optical transmission line 101 is DN. Accordingly, the amount of dispersion that a modulation signal k receives from the optical transmission line 101 is represented by Formula (15) below.
Amount of dispersion that modulation signal k receives from optical transmission line
where N represents the number of optical multiplexing apparatuses, that is, the number of the optical multiplexing apparatuses 1 and later.
Accordingly, a sub-carrier modulation signal having a lower frequency is allocated to an optical multiplexing apparatus 102 which is more distant from the receiving side (receiving apparatus 103) (in the example illustrated in
First Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
For example, referring to Graph 701 of
The amounts of dispersion of the receiving apparatuses 1 to 3 are set to amounts of dispersion corresponding to different frequency bands in which the receiving apparatus 1 to 3 (103) can receive signals. For example, the amounts of dispersion of the receiving apparatuses 1 to 3 are set to amounts of dispersion such that the frequency bands do not overlap each other relative to a ±3 dB amplitude illustrated in Graph 701. Alternatively, parts of the frequency bands (the edges of the frequency bands) may overlap each other. Thus, modulation signals in a wide frequency band of 1.8 G to 20 G can be received by the three receiving apparatuses, 1 to 3 (103), which use the chromatic dispersion media 1 to 3 (121) having different amounts of dispersion.
Second Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
Referring to Graph 802, the receiving apparatuses 1 to 3 (103) add the following amounts of dispersion to the signals received thereby: for receiving apparatus 1, amount of dispersion D of optical transmission line 101+amount of dispersion of chromatic dispersion medium 1; for receiving apparatus 2, amount of dispersion D of optical transmission line 101+amount of dispersion of chromatic dispersion medium 1+amount of dispersion of chromatic dispersion medium 2; and for receiving apparatus 3, amount of dispersion D of optical transmission line 101+amount of dispersion of chromatic dispersion medium 1+amount of dispersion of chromatic dispersion medium 2+amount of dispersion of chromatic dispersion medium 3.
As a result, an increase in the number of receiving apparatuses 103 increases the number of cascaded-connected chromatic dispersion media 121 and thus degrades reception sensitivity accordingly. On the other hand, the amount of dispersion of each chromatic dispersion medium 121 can be reduced advantageously. Even when amounts of chromatic dispersion desirable for the frequency bands are allocated to the receiving apparatuses 103 in accordance with the configurations of the receiving apparatuses 103 on the basis of formulas for desired amounts of dispersion, it is possible to receive modulation signals in multiple sub-carrier modulation bands.
Third Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
amount of dispersion of dispersion medium X+amount of dispersion D of transmission line<D+3dB . . . (16) where fLow represents the lower limit frequency of the operating frequency band, and fHigh represents the upper limit frequency of the operating frequency band.
For example, as illustrated in Graph 901, when the entire operating band of modulation signals is 5 to 10 GHz, a chromatic dispersion medium X (121) is disposed such that the sum of the amounts of dispersion of the chromatic dispersion medium X and the optical transmission line 101 is a total amount of dispersion Da.
Failure to satisfy the conditional expression means that a single fixed chromatic dispersion medium has difficulty in receiving signals in the operating frequency band. In this case, as illustrated in
Fourth Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
The control circuit 1002 variably controls the amount of dispersion of a variable chromatic dispersion medium X (1000) so that the monitored signal amplitude is maximized. Conceivable configurations of the variable chromatic dispersion medium X (1000) include a configuration in which the amount of dispersion is changed by changing the temperature using an FBG or etalon and a configuration in which the amount of dispersion is electrically changed using a virtually imaged phased array (VIPA). The only thing to do in this case is to variably control the amount of dispersion of the variable chromatic dispersion medium X (1000) so that the monitored signal amplitude is maximized. Accordingly, an eye pattern open state as illustrated in Diagram 1003 does not have to be detected. By variably controlling the amount of dispersion of the variable chromatic dispersion medium X (1000) using the variable chromatic dispersion medium X (1000) so that the monitored signal amplitude is maximized, the amount of dispersion is kept optimum, as illustrated in (a) of Diagram 1003.
Fifth Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
To dispose the electrical spectrum analyzer 1103, a demultiplexer 1102 is disposed subsequent to the photodetector (PD) 122. The demultiplexer 1102 branches a modulation signal to the filter (low-pass filter) 123 and the electrical spectrum analyzer 1103. The electrical spectrum analyzer 1103 produces a monitor output and transmits it to a monitoring control circuit 1101. Based on the monitor output transmitted by the electrical spectrum analyzer 1103, the monitoring control circuit 1101 controls the amount of dispersion added by the variable chromatic dispersion medium X (1000).
The monitoring control circuit 1101 then obtains the frequencies of modulation signals from the frequency spectrum obtained (operation S1203). The monitoring control circuit 1101 then determines whether modulation signals have been detected (signals have been received by the receiving node) (operation S1204). If modulation signal have been detected (operation S1204: YES), the monitoring control circuit 1101 proceeds to operation S1205; if no modulation signals have been detected (operation S1204: NO), it proceeds to operation S1208.
In operation S1205, the monitoring control circuit 1101 identifies modulation signals having the lowest and highest frequencies in the modulation signals detected and sets these frequencies to fLOW and fHigh, respectively. The monitoring control circuit 1101 then calculates the optimum amount of dispersion using Formula (16) above (operation S1206). The monitoring control circuit 1101 then sets the amount of dispersion of the variable chromatic dispersion medium X (1000) to the optimum amount of dispersion calculated (operation S1207). The monitoring control circuit 1101 then determines whether the process is complete (operation S1208). If a scan has to be performed (operation S1208: NO), the monitoring control circuit 1101 returns to operation S1202; if a scan is complete (operation S1208: YES), it ends the process.
For example, as illustrated in Diagram 1105 of
While the configuration illustrated in
Sixth Example Receiving Apparatus Configuration Corresponding to Multiple Sub-Carrier Modulation Bands
For this reason, in addition to the components illustrated in
The optical demultiplexer 1303 branches a modulation signal received from the optical transmission line 101 to the variable chromatic dispersion medium X (1000) and the monitoring control signal receiving unit 1302. As illustrated in Diagram 1306, the optical demultiplexer 1303 branches and outputs multiplexed signal management information transmitted by the optical multiplexing apparatuses 1 to N (102) to the monitoring control signal receiving unit 1302. The monitoring control signal receiving unit 1302 receives the multiplexed signal management information transmitted by the optical multiplexing apparatuses 1 to N (102) and outputs it to the monitoring control unit 1301. The monitoring control unit 1301 centrally manages the operating frequency band of the entire system on the basis of the multiplexed signal management information received by the monitoring control signal receiving unit 1302, as well as information, such as the output states of modulation signals of the optical multiplexing apparatuses 1 to N (102). The monitoring control unit 1301 then identifies the operating frequency band of all the optical multiplexing apparatus 102 and sets the amount of dispersion of the variable chromatic dispersion medium X (1000) to the optimum amount. As illustrated in diagram 1306 of
For example, for management number 1 of
The monitoring control unit 1301 then determines whether K is N (operation S1504). N represents the number of all the optical multiplexing apparatuses 102 disposed on the optical transmission line 101 and is used to determine whether information about all the optical multiplexing apparatuses has been obtained by searching the management table. If K is not N (operation S1504: NO), the monitoring control unit 1301 increments K by 1 (operation S1506) and returns to operation S1503. If K is N (operation S1504: YES), the monitoring control unit 1301 proceeds to operation S1505.
In operation S1505, the monitoring control unit 1301 searches the management table for modulation signals having the lowest and highest frequencies and sets these frequencies to fLOW and fHigh, respectively (operation S1505). The monitoring control unit 1301 then calculates the optimum amount of dispersion using Formula (16) above (operation S1507). The monitoring control unit 1301 then sets the amount of dispersion of the variable chromatic dispersion medium X (1000) to the optimum amount calculated (operation S1508). The monitoring control unit 1301 then determines whether the process is complete (operation S1509). If a scan has to be performed (operation S1509: NO), the monitoring control unit 1301 returns to operation S1502; if a scan is complete (operation S1509: YES), it ends the process.
As described above, by using the multiplexed signal management information shared by all the optical multiplexing apparatuses 102, the monitoring control unit 1301 can grasp, in real time, the lower and upper limits of the current operating frequency band. Further, whenever a change is made to the frequency used by each optical multiplexing apparatus 102, the monitoring control unit 1301 can calculate the optimum amount of dispersion to control the amount of dispersion of the variable chromatic dispersion medium X (1000) in accordance with the frequency changed.
According to the embodiment described above, it is possible to transmit information from multiple optical multiplexing apparatuses on the optical transmission line using the optical FDM system. The optical multiplexing apparatuses superimpose sub-carrier modulation signals having different sub-carrier frequencies on a carrier wave. In the embodiment described above, the chromatic dispersion media are disposed in the receiving apparatuses, and the amounts of dispersion of the chromatic dispersion media are set to desirable amounts on the basis of the sub-carrier frequencies used by the optical multiplexing apparatuses. Thus, the receiving apparatuses can extract the sub-carrier modulation signals transmitted by the optical multiplexing apparatuses in such a manner that the sub-carrier modulation signals have good waveforms.
Further, since each receiving apparatus is configured to monitor the sub-carrier frequencies of the optical multiplexing apparatuses, it can perform variable control so that the amount of dispersion of the chromatic dispersion medium therein is usually optimized according to the frequencies used by the optical multiplexing apparatuses. Thus, even when the frequency used by each optical multiplexing apparatus is changed, the receiving apparatus can usually stably receive signals, as well as can improve reception quality.
The monitoring control circuit 1101 and the monitoring control unit 1301 described in the present embodiment can be achieved by execution of a previously prepared program by a processor, such as a CPU. This program can be recorded in a processor-readable recording medium and executed when the processor reads it from the recording medium. This program may be distributed via a network, such as the Internet.
All examples and conditional language recited herein are intended for pedagogical purposes to aid the reader in understanding the invention and the concepts contributed by the inventor to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions, nor does the organization of such examples in the specification relate to a showing of the superiority and inferiority of the invention. Although the embodiment of the present invention has been described in detail, it should be understood that the various changes, substitutions, and alterations could be made hereto without departing from the spirit and scope of the invention.
Number | Date | Country | Kind |
---|---|---|---|
2012-192518 | Aug 2012 | JP | national |