Oscillatory system and method for controlling an oscillatory system of this type
First Claim
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1. A method for controlling an oscillatory system having at least one measurement variable, bydetection of at least one oscillation component (S(t)) over the time (t) in the form of at least one measurement variable;
- characterized bydetermination of a controlled variable (δ
u) for controlling the oscillatory system from the sum of the weighted differences of the oscillation component (S1(t−
τ
1),S2(t−
τ
2)), which has been delayed in the case of one measurement variable at least twice by different delay times (τ
1>
0, τ
2>
0), and its respective undelayed oscillation component (S1(t) and S2(t)), and in the case of a plurality of measurement variables, oscillation components (Si(t−
τ
i)), which have in each case been delayed at least once by a specific delay time (τ
i>
0), and their respective undelayed oscillation components (Si(t)) using the relationship
Su=a1S1(t)−
b1S1(t−
τ
1)+ . . . +anSn(t)−
bnSn(t−
τ
n),where a1, . . . , an and b1, . . . , bn are weighting factors for the oscillation components S1, . . . , Sn of the measurement variables.
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Abstract
The invention relates to a method for controlling an oscillatory system with the aid of at least one measured variable by the detection of at least one oscillation component (Sx(t)) over time (t) in the form of at least one measured variable. According to said method a control variable (δu) for controlling the oscillatory system is determined from the sum of the weighted differences of the delayed oscillation component, which has been delayed at least twice by different delay times (τ1>O, τ2>0) if there is one measured variable and the respective non-delayed oscillation component and if there are several measured variables the sum of the weighted differences of the delayed oscillation components (Si(t−τi)), which have been respectively delayed at least once by a specific delay time (τi>0) and their respective non-delayed oscillation components (Si(t)) according to the relationship δu=a1S1(t) b1S1(t−τ1)+ . . . +anSn(t)−bnSn(t−τn), wherein a1, . . . , an and b1, . . . , bn are weighting factors for the oscillation components S1, . . . , Sn of the measured variables.
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Citations
23 Claims
-
1. A method for controlling an oscillatory system having at least one measurement variable, by
detection of at least one oscillation component (S(t)) over the time (t) in the form of at least one measurement variable; -
characterized by determination of a controlled variable (δ
u) for controlling the oscillatory system from the sum of the weighted differences of the oscillation component (S1(t−
τ
1),S2(t−
τ
2)), which has been delayed in the case of one measurement variable at least twice by different delay times (τ
1>
0, τ
2>
0), and its respective undelayed oscillation component (S1(t) and S2(t)), and in the case of a plurality of measurement variables, oscillation components (Si(t−
τ
i)), which have in each case been delayed at least once by a specific delay time (τ
i>
0), and their respective undelayed oscillation components (Si(t)) using the relationship
Su=a1S1(t)−
b1S1(t−
τ
1)+ . . . +anSn(t)−
bnSn(t−
τ
n),where a1, . . . , an and b1, . . . , bn are weighting factors for the oscillation components S1, . . . , Sn of the measurement variables. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
where ax1, . . . , axn, bx1, . . . , bxn, ay1, . . . , ayn, by1, . . . , byn are weighting factors for the oscillation components Sx and Sy as well as their time-delayed signals in the two polarization directions (x,y), where n=1 to N.
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3. The method as claimed in claim 2, characterized in that the delay times (τ
-
xi) for the first polarization direction (x) are chosen to be different to the delay times (τ
yi) for the second polarization direction (y).
-
xi) for the first polarization direction (x) are chosen to be different to the delay times (τ
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4. The method as claimed in claim 1, characterized in that a difference from a delayed and associated undelayed oscillation component is in each case replaced by a notch filter with a matched Q-factor and bandwidth.
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5. The method as claimed in claim 1, characterized by the controlled variable (δ
- u) being amplified by a gain factor (k).
-
6. The method as claimed in claim 1, characterized in that the delay times (τ
-
i,τ
xi,τ
yi) or the cut-off frequencies of notch filters for the at least one oscillation component are different.
-
i,τ
-
7. The method as claimed in claim 1, characterized by dynamic variation of the delay times (τ
-
i,τ
xi,τ
yi), of the weighting factors (ai,axi,ayi,bi,bxi,byi) and/or cut-off frequencies of notch filters.
-
i,τ
-
8. The method as claimed claim 1, characterized in that the oscillatory system is a laser, in particular a frequency-doubled laser.
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9. The method as claimed in claim 8, characterized in that the controlled variable (δ
- u) is modulated onto pump current for a pump laser diode which is provided for operation of the laser.
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10. The method as claimed in claim 1, characterized by the oscillation components (Si(t)) being delayed by means of an analog or digital delay line.
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11. The method as claimed in claim 1, characterized by wave components (Si(t)) in each case being delayed by all-pass filter elements.
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12. The method as claimed in claim 11, characterized by operation of the all-pass filter elements as Bessel filters.
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13. An oscillatory system for production of oscillations having a first sensor for detection of at least one oscillation component (S(t)) over the time (t) in the form of at least one measurement variable and having an actuating element for determination of a controlled variable (δ
-
u) from the sum of the weighted differences of the oscillation component, which has been delayed in the case of one measurement variable at least twice by different delay times (δ
1>
0, δ
2>
0), and its respective undelayed oscillation component, and in the case of a plurality of measurement variables, their oscillation components (Si(t−
δ
i)), which have in each case been delayed at least once by a specific delay time (δ
i>
0), and their respective undelayed oscillation components (Si(t)) using the relationship
δ
u=a1S1(t)−
b1S1(t−
τ
1)+ . . . +anSn(t)−
bnSn(t−
τ
n),where a1, . . . , an and b1, . . . , bn are weighting factors for the oscillation components S1, . . . , Sn of the measurement variables and the controlled variable (δ
u) is used to control the oscillatory system.- View Dependent Claims (14, 15, 16, 17, 18, 19, 20, 21, 22, 23)
where ax1, . . . , axn, bx1, . . . , bxn, ay1, . . . , ayn, by1, . . . , byn are weighting factors for the oscillation components of the polarization direction (x,y), where n equals 1 to N and the controlled variable (δ
u) is used to control the multimode generator.
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u) from the sum of the weighted differences of the oscillation component, which has been delayed in the case of one measurement variable at least twice by different delay times (δ
-
15. The oscillatory system as claimed in claim 14, characterized in that the delay times (τ
-
xi) for the first polarization direction (x) are different to the delay time (τ
yi) for the second polarization direction (y).
-
xi) for the first polarization direction (x) are different to the delay time (τ
-
16. The oscillatory system as claimed in claim 14, characterized in that the Nd:
- YAG laser is operated with a pump laser diode, and the controlled variable (δ
u) is modulated onto pump current for the pump laser diode.
- YAG laser is operated with a pump laser diode, and the controlled variable (δ
-
17. The oscillatory system as claimed in claim 13, characterized in that a difference from a delayed and an associated undelayed oscillation component is in each case replaced by a notch filter with a matched Q-factor and bandwidth.
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18. The oscillatory system as claimed in claim 13, characterized by an amplifier for the controlled variable (δ
- u) by a gain factor (k).
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19. The oscillatory system as claimed in claim 13, characterized in that the delay times (τ
-
i>
0) and/or cut-off frequencies of the notch filters are different.
-
i>
-
20. The oscillatory system as claimed in claim 13, characterized in that an actuating element is designed for dynamic variation of the delay times (τ
-
i,τ
xi,τ
yi), of the weighting factors (ai,axi,ayi,bi,bxi,byiand/or cut-off frequencies.
-
i,τ
-
21. The oscillatory system as claimed in claim 13, characterized by in each case at least one analog or digital delay line for the detected oscillation component signals (Sx(t), Sy(t)).
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22. The oscillatory system as claimed in claim 13, characterized by all-pass filter elements for delaying the detected oscillation component signals.
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23. The oscillatory system as claimed in claim 22, characterized in that the all-pass filter elements are in the form of Bessel filters.
Specification
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Current AssigneeGeorg-August-Universität Göttingen
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Original AssigneeGeorg-August-Universität Göttingen
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InventorsParlitz, Ulrich, Ahlborn, Alexander
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Primary Examiner(s)KINKEAD, ARNOLD M
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Application NumberUS11/568,842Publication NumberTime in Patent Office1,763 DaysField of Search331/74, 331/78, 372/18, 372/29.011, 372/29.02, 250/227.11US Class Current331/78CPC Class CodesH01S 3/08022 Longitudinal modes mode sup...H01S 3/109 Frequency multiplication, e...H01S 3/1312 by controlling the optical ...
