breakdown turn-on time from tbts and kek
DESCRIPTION
Breakdown turn-on time from TBTS and KEK. Alexey Dubrovskiy. Examples#1 of RF breakdowns. M. E. M. 80 ns. 80 ns. 80 ns. 80 ns. 80 ns. 80 ns. 80 ns. 80 ns. 80 ns. M. B. B. B. B. E. a t the middle. E. M. B. BD at the end of the ACS. at the beginning. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/1.jpg)
Breakdown turn-on time from TBTS and KEK
Alexey Dubrovskiy
![Page 2: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/2.jpg)
Examples#1 of RF breakdowns
80 ns 80 ns 80 ns
80 ns 80 ns 80 ns
80 ns 80 ns 80 ns
80 ns = tfill + twavegides + Δtcables, tfill ≈ 65 ns , twavegides ≈ 11 ns , Δtcables ≈ 4 ns
E
E
MM
M B
B
B
B
E BD at the end of the ACS M at the middle B at the beginning
![Page 3: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/3.jpg)
Examples#1 of RF breakdowns
√𝑃𝑜𝑤𝑒𝑟 /max (𝑃𝑜𝑤𝑒𝑟 )𝑒𝑖 h𝑃 𝑎𝑠𝑒
![Page 4: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/4.jpg)
RF breakdowns & RF bandwidth limitation
B B B
The rise of the RF reflection is very steep for BDs at the begging of the ACS or maybe even in the waveguide. In these cases the rise time (≈15 ns) can be limited by the RF bandwidth of the ACS.
![Page 5: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/5.jpg)
Examples #3 of RF breakdowns
![Page 6: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/6.jpg)
Examples #3 of RF breakdowns
![Page 7: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/7.jpg)
Fall time vs. Power in BD Cell
* Wilfrid Farabolini
Fall rate is linearly dependant with the Power
![Page 8: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/8.jpg)
Cease of the power transmission• The cease of the RF power transmission is
associated with a breakdown in the accelerating. • Hypothesis: the speed of cease is proportional to
the incoming power.• The RF power transmission is considered to study
the falling edge of different pulses:– Transmission (E/T) = Transmitted / Expected – Expected power = Incident - Ohmic losses (~4 dB)+80ns
• Data from experiments in CTF/TBTS in summer 2010.
![Page 9: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/9.jpg)
Simple falling edgeA simple transmission falling edge can be estimated by the following expression
, where is the time, is a positive constant and is the error function:
The time is the moment of the middle of the BD.The fall time from 90% to 10% can be explicitly found
![Page 10: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/10.jpg)
Simple falling edge
γ 90→ 10=22𝑛𝑠
![Page 11: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/11.jpg)
Simple falling edge
γ 90→ 10=38𝑛𝑠
![Page 12: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/12.jpg)
Simple falling edge
γ 90→10=25𝑛𝑠
![Page 13: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/13.jpg)
Falling edge with precursorA transmission falling edge with a precursor can be estimated by the following expression
, where is the time,, and are positive constants.
When , sub-fall times can be estimated as,
![Page 14: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/14.jpg)
Falling edge with precursor
γ 90→ 10≈6 0𝑛𝑠
γ 90→ 77≈ 8𝑛𝑠γ65→ 10≈35𝑛𝑠
![Page 15: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/15.jpg)
Falling edge with precursor
γ 90→10≈70𝑛𝑠
γ 98→ 88≈5𝑛𝑠γ80→ 10≈ 43𝑛𝑠
![Page 16: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/16.jpg)
Two-stage falling edge
γ 90→10≈70𝑛𝑠
![Page 17: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/17.jpg)
Recovering falling edge
![Page 18: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/18.jpg)
Recovering falling edge
![Page 19: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/19.jpg)
Falling edge duration
Slope [%/ns]
90%
10%
Fall time
![Page 20: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/20.jpg)
KEK / T24 # 3
![Page 21: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/21.jpg)
Simple falling edge
γ 90→ 10=45𝑛𝑠
![Page 22: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/22.jpg)
Simple falling edge
γ 90→ 10=30𝑛𝑠
![Page 23: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/23.jpg)
Falling edge with precursor
γ 99→ 87≈4𝑛𝑠
γ77→9≈20𝑛𝑠
![Page 24: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/24.jpg)
Two-stage falling edge
γ 96→ 64≈12𝑛𝑠
γ54→6≈20𝑛𝑠
![Page 25: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/25.jpg)
Two-stage falling edge
γ67→ 7=24𝑛𝑠
γ 97→77=9𝑛𝑠
![Page 26: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/26.jpg)
Falling edge duration
Slope [%/ns]
90%
10%
Fall time
![Page 27: Breakdown turn-on time from TBTS and KEK](https://reader036.vdocuments.net/reader036/viewer/2022062501/56815f3a550346895dce0ce9/html5/thumbnails/27.jpg)
Summary• For some BDs the rise time of the RF reflection can be limited by the
bandwidth of ACS. But there are many BDs such that the rise time is longer than the time given by the bandwidth.
• The phase sweep of the reflected RF suggests that the BD extends towards the input of the structure by a couple of cells. The constant phase of the reflected RF suggests that BDs does not change the RF group velocity towards the output.
• The fall time of transmitted RF is independent of the incident power.• In most of the cases the fall of RF transmission can be accurately estimated
by a sum of two error functions.• Precursors of the cease of transmission might indicate the high current of
emitted charged particles at the initial stage of BDs.• The typical time of the cease of transmission from 90 to 10% is between 25
and 40 ns and it is independent of the location of BD. The similar results have been obtained from the KEK/T24 data.