Changeset 523 in ETALON
- Timestamp:
- Apr 22, 2016, 5:29:47 PM (8 years ago)
- Location:
- papers/2016_IPAC/IPAC16_SP_CTR
- Files:
-
- 4 added
- 17 edited
Legend:
- Unmodified
- Added
- Removed
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papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.aux
r515 r523 19 19 \@writefile{toc}{\contentsline {subsection}{Single Electron Yield}{1}} 20 20 \@writefile{toc}{\contentsline {subsection}{Coherent Radiation}{1}} 21 \newlabel{eq:pitch_pulselength}{{}{1}}22 21 \citation{clio} 23 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Signle electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (3,6,9 mm). The grating used here is $40\unhbox \voidb@x \hbox {mm}\times 180\unhbox \voidb@x \hbox {mm}$ with 8 mm pitch and $30^o$ blaze angle. XXX Cut this plot at 15mm XXX\relax }}{2}}22 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Signle electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (3,6,9 mm). The grating used here is $40\unhbox \voidb@x \hbox {mm}\times 180\unhbox \voidb@x \hbox {mm}$ with 8 mm pitch and $30^o$ blaze angle. \relax }}{2}} 24 23 \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} 25 24 \newlabel{sey}{{1}{2}} 26 25 \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces SEY for SP effect. Grating $40\times 180$ mm$^2$ with 8~mm pitch and $30^o$ blaze angle. \relax }}{2}} 27 26 \newlabel{sey2d}{{2}{2}} 28 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Maximum angle of emission for SP effect as function of pulsewidth and grating pitch. Grating $40\times 180$mm with $30^o$ blaze angle. The beam-grating separation is 3~mm.\relax }}{2}} 29 \newlabel{mae}{{3}{2}} 30 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces XXX Spelling XXX Tolat energy for SP effect as function of pulsewidth and grating pitch. Grating $40\times 180$mm with $30^o$ blaze angle. XXX Try to use a log for the vertical scale\relax }}{2}} 31 \newlabel{Epp}{{4}{2}} 32 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Evolution of SP spectrum with constant grating pitch and changing wavelength. Grating $40\times 180$mm with 7.9 mm pitch and $30^o$ blaze angle. XXX Can you prepare the same figure for TR?\relax }}{2}} 33 \newlabel{f14}{{5}{2}} 27 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces SEY for TR effect. Screen is turned at $45^o$ to beam propagation direction and have diameter 40 mm.\relax }}{2}} 28 \newlabel{sey2dctr}{{3}{2}} 29 \newlabel{eq:pitch_pulselength}{{}{2}} 30 \newlabel{eq:pitch_pulselength}{{6}{2}} 31 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Maximum angle of emission for SP effect as function of pulsewidth and grating pitch. Grating $40\times 180$mm with $30^o$ blaze angle. The beam-grating separation is 3~mm.\relax }}{2}} 32 \newlabel{mae}{{4}{2}} 33 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Total energy for SP effect presented as function of pulsewidth and grating pitch. Grating is $40\times 180$mm with $30^o$ blaze angle. \relax }}{2}} 34 \newlabel{Epp}{{5}{2}} 34 35 \bibcite{GF}{1} 35 36 \bibcite{GFa}{2} … … 37 38 \bibcite{GD}{4} 38 39 \bibcite{clio}{5} 39 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Profile of the bunch at the exit of the CLIO accelerating section.\relax }}{3}} 40 \newlabel{Prof1}{{6}{3}} 41 \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces CSPR and CTR energy density as function of wavelength. SP spectrum is presented for different beam-grating separation (3,6,9 mm).Grating $40\times 180$mm with 8 mm pitch and $30^o$ blaze angle. Screen diameter for TR is 40mm. The signal is measured as integrated with a 50mm diameter parabolic mirror located 300~mm from the beam axis.\relax }}{3}} 42 \newlabel{spctr}{{7}{3}} 40 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Evolution of SP spectrum with constant grating pitch and changing wavelength. Grating $40\times 180$mm with 7.9 mm pitch and $30^o$ blaze angle. \relax }}{3}} 41 \newlabel{f14}{{6}{3}} 42 \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Evolution of CTR spectrum with changing wavelength. Screen is 40mm in diameter.\relax }}{3}} 43 \newlabel{f15}{{7}{3}} 44 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Profile of the bunch at the exit of the CLIO accelerating section.\relax }}{3}} 45 \newlabel{Prof1}{{8}{3}} 46 \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces CSPR and CTR energy density as function of wavelength. SP spectrum is presented for different beam-grating separation (3,6,9 mm).Grating $40\times 180$mm with 8 mm pitch and $30^o$ blaze angle. Screen diameter for TR is 40mm. The signal is measured as integrated with a 50mm diameter parabolic mirror located 300~mm from the beam axis.\relax }}{3}} 47 \newlabel{spctr}{{9}{3}} 43 48 \@writefile{toc}{\contentsline {section}{Conclusion}{3}} -
papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.log
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'om' on 433 . line 7271. 202 (E:\TeX\tex\latex\tools\array.sty 203 Package: array 2014/10/28 v2.4c Tabular extension package (FMi) 204 \col@sep=\dimen139 205 \extrarowheight=\dimen140 206 \NC@list=\toks17 207 \extratabsurround=\skip52 208 \backup@length=\skip53 209 ) 210 (E:\TeX\tex\latex\l3packages\l3keys2e\l3keys2e.sty 211 Package: l3keys2e 2016/01/19 v6377 LaTeX2e option processing using LaTeX3 keys 212 ) 213 \l__siunitx_tmp_box=\box47 214 \l__siunitx_tmp_dim=\dimen141 215 \l__siunitx_tmp_int=\count117 216 \l__siunitx_number_mantissa_length_int=\count118 217 \l__siunitx_number_uncert_length_int=\count119 218 \l__siunitx_round_int=\count120 219 \l__siunitx_process_decimal_int=\count121 220 \l__siunitx_process_uncertainty_int=\count122 221 \l__siunitx_process_fixed_int=\count123 222 \l__siunitx_process_integer_min_int=\count124 223 \l__siunitx_process_precision_int=\count125 224 \l__siunitx_group_min_int=\count126 225 \l__siunitx_angle_marker_box=\box48 226 \l__siunitx_angle_unit_box=\box49 227 \l__siunitx_angle_marker_dim=\dimen142 228 \l__siunitx_angle_unit_dim=\dimen143 229 \l__siunitx_unit_int=\count127 230 \l__siunitx_unit_denominator_int=\count128 231 \l__siunitx_unit_numerator_int=\count129 232 \l__siunitx_unit_prefix_int=\count130 233 \l__siunitx_unit_prefix_base_int=\count131 234 \l__siunitx_unit_prefix_gram_int=\count132 235 \l__siunitx_number_product_int=\count133 236 \c__siunitx_one_fill_skip=\skip54 237 \l__siunitx_table_unit_align_skip=\skip55 238 \l__siunitx_table_exponent_dim=\dimen144 239 \l__siunitx_table_integer_dim=\dimen145 240 \l__siunitx_table_mantissa_dim=\dimen146 241 \l__siunitx_table_marker_dim=\dimen147 242 \l__siunitx_table_result_dim=\dimen148 243 \l__siunitx_table_uncert_dim=\dimen149 244 \l__siunitx_table_fill_pre_dim=\dimen150 245 \l__siunitx_table_fill_post_dim=\dimen151 246 \l__siunitx_table_fill_mid_dim=\dimen152 247 \l__siunitx_table_pre_box=\box50 248 \l__siunitx_table_post_box=\box51 249 \l__siunitx_table_mantissa_box=\box52 250 \l__siunitx_table_result_box=\box53 251 \l__siunitx_table_number_align_skip=\skip56 252 \l__siunitx_table_text_align_skip=\skip57 253 ................................................. 254 . LaTeX info: "xparse/define-command" 255 . 256 . Defining command \DeclareBinaryPrefix with sig. 'mmm' on line 7218. 257 ................................................. 258 ................................................. 259 . LaTeX info: "xparse/define-command" 260 . 261 . Defining command \DeclareSIPostPower with sig. 'mm' on line 7221. 262 ................................................. 263 ................................................. 264 . LaTeX info: "xparse/define-command" 265 . 266 . Defining command \DeclareSIPrefix with sig. 'mmm' on line 7224. 267 ................................................. 268 ................................................. 269 . LaTeX info: "xparse/define-command" 270 . 271 . Defining command \DeclareSIPrePower with sig. 'mm' on line 7227. 272 ................................................. 273 ................................................. 274 . LaTeX info: "xparse/define-command" 275 . 276 . Defining command \DeclareSIQualifier with sig. 'mm' on line 7230. 277 ................................................. 278 ................................................. 279 . LaTeX info: "xparse/define-command" 280 . 281 . Defining command \DeclareSIUnit with sig. 'O{}mm' on line 7233. 282 ................................................. 283 ................................................. 284 . LaTeX info: "xparse/define-command" 285 . 286 . Defining command \DeclareSIUnitWithOptions with sig. 'mmm' on line 7236. 287 ................................................. 288 ................................................. 289 . LaTeX info: "xparse/define-command" 290 . 291 . Defining command \ang with sig. 'o>{\SplitArgument {2}{;}}m' on line 7251. 292 ................................................. 293 ................................................. 294 . LaTeX info: "xparse/define-command" 295 . 296 . Defining command \num with sig. 'om' on line 7260. 297 ................................................. 298 ................................................. 299 . LaTeX info: "xparse/define-command" 300 . 301 . Defining command \numlist with sig. 'o>{\SplitList {;}}m' on line 7269. 302 ................................................. 303 ................................................. 304 . LaTeX info: "xparse/define-command" 305 . 306 . Defining command \numrange with sig. 'omm' on line 7278. 307 ................................................. 308 ................................................. 309 . LaTeX info: "xparse/define-command" 310 . 311 . Defining command \SIlist with sig. 'o>{\SplitList {;}}mm' on line 7290. 312 ................................................. 313 ................................................. 314 . LaTeX info: "xparse/define-command" 315 . 316 . Defining command \SIrange with sig. 'ommm' on line 7302. 317 ................................................. 318 ................................................. 319 . LaTeX info: "xparse/define-command" 320 . 321 . Defining command \SI with sig. 'omom' on line 7314. 322 ................................................. 323 ................................................. 324 . LaTeX info: "xparse/define-command" 325 . 326 . Defining command \sisetup with sig. 'm' on line 7317. 327 ................................................. 328 ................................................. 329 . LaTeX info: "xparse/define-command" 330 . 331 . Defining command \tablenum with sig. 'om' on line 7332. 332 ................................................. 333 ................................................. 334 . LaTeX info: "xparse/define-command" 335 . 336 . Defining command \si with sig. 'om' on line 7344. 337 ................................................. 338 ................................................. 339 . LaTeX info: "xparse/define-command" 340 . 341 . Defining command \__siunitx_bookmark_num:w with sig. 'om' on line 7391. 342 ................................................. 343 ................................................. 344 . LaTeX info: "xparse/define-command" 345 . 346 . Defining command \__siunitx_bookmark_numrange:w with sig. 'omm' on line 347 . 7393. 348 ................................................. 349 ................................................. 350 . LaTeX info: "xparse/define-command" 351 . 352 . Defining command \__siunitx_bookmark_SI:w with sig. 'omom' on line 7395. 353 ................................................. 354 ................................................. 355 . LaTeX info: "xparse/define-command" 356 . 357 . Defining command \__siunitx_bookmark_SIlist:w with sig. 'omm' on line 7397. 358 ................................................. 359 ................................................. 360 . 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(epstopdf) date: 2016-04-22 15:39:31 1436 (epstopdf) size: 21962 bytes 1473 1437 (epstopdf) Output file: <plots/TE-eps-converted-to.pdf> 1474 (epstopdf) date: 2016-04- 14 18:46:531475 (epstopdf) size: 7 325bytes1476 (epstopdf) Command: < repstopdf --outfile=plots/TE-eps-converted-to.1477 pdf plots/TE.eps>1478 (epstopdf) \includegraphics on input line 1 46.1438 (epstopdf) date: 2016-04-22 15:40:02 1439 (epstopdf) size: 7704 bytes 1440 (epstopdf) Command: <epstopdf --outfile=plots/TE-eps-converted-to.p 1441 df plots/TE.eps> 1442 (epstopdf) \includegraphics on input line 153. 1479 1443 Package epstopdf Info: Output file is already uptodate. 1480 1444 1481 <plots/TE-eps-converted-to.pdf, id=2 1, 420.57124pt x 316.18124pt>1445 <plots/TE-eps-converted-to.pdf, id=20, 420.57124pt x 316.18124pt> 1482 1446 File: plots/TE-eps-converted-to.pdf Graphic file (type pdf) 1483 1447 1484 1448 <use plots/TE-eps-converted-to.pdf> 1485 Package pdftex.def Info: plots/TE-eps-converted-to.pdf used on input line 1 46.1449 Package pdftex.def Info: plots/TE-eps-converted-to.pdf used on input line 153. 1486 1450 (pdftex.def) Requested size: 211.26027pt x 158.82355pt. 1487 1451 Package epstopdf Info: Source file: <plots/constpitch.eps> 1488 (epstopdf) date: 2016-04- 14 18:46:531489 (epstopdf) size: 41112bytes1452 (epstopdf) date: 2016-04-22 17:27:00 1453 (epstopdf) size: 69350 bytes 1490 1454 (epstopdf) Output file: <plots/constpitch-eps-converted-to.pdf> 1491 (epstopdf) date: 2016-04-14 18:46:53 1492 (epstopdf) size: 17933 bytes 1493 (epstopdf) Command: <repstopdf --outfile=plots/constpitch-eps-conve 1494 rted-to.pdf plots/constpitch.eps> 1495 (epstopdf) \includegraphics on input line 164. 1496 Package epstopdf Info: Output file is already uptodate. 1497 1498 <plots/constpitch-eps-converted-to.pdf, id=22, 420.57124pt x 316.18124pt> 1455 (epstopdf) Command: <epstopdf --outfile=plots/constpitch-eps-conver 1456 ted-to.pdf plots/constpitch.eps> 1457 (epstopdf) \includegraphics on input line 171. 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papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.tex
r515 r523 46 46 When a relativistic charged particle crosses the interface between two media of different dielectric properties, transition radiation (TR) is emitted. This process was calculated analytically by Ginzburg and Frank \cite{GF}. 47 47 \begin{equation} 48 \frac{d^2I_{GF}}{d\omega d\Theta}=\frac{ e^2}{4\pi^3\epsilon_0c}\frac{\beta^2sin^2\Theta}{(1-\beta^2cos^2\Theta)^2}48 \frac{d^2I_{GF}}{d\omega d\Theta}=\frac{q_0^2}{4\pi^3\epsilon_0c}\frac{\beta^2sin^2\Theta}{(1-\beta^2cos^2\Theta)^2}, 49 49 \label{eq:eq2} 50 50 \end{equation} 51 52 XXXX You must define the variables XXX 51 where $q_0$ is electron charge, c is the speed of light, $\beta$ is relativistic velocity and $\Theta$ is 52 the observation angle. 53 53 54 54 We use their formula with virtual-quanta method to compute the backward TR from a finite screen\cite{GFa} … … 81 81 \subsection{Single Electron Yield} 82 82 83 Calculation of the SEY for SP and TR are presented on figure~\ref{sey}. The screen used in this case for TR is a metalic disk with radius 20 mm and the grating for SP has a length of 180 mm and a width of 40 mm with a pitch of 8 mm and a 30 degrees blaze angle. The beam-grating distance (from center of the beam to the top of the teeth) is 3 mm. The lorentz factor $\gamma$ for both cases is 118 ( 50~MeV) XXX CHECK XXX. The other parameters were taken from the CLIO accelerator simulation in ASTRA reported in~\cite{clio}. \par83 Calculation of the SEY for SP and TR are presented on figure~\ref{sey}. The screen used in this case for TR is a metalic disk with radius 20 mm and the grating for SP has a length of 180 mm and a width of 40 mm with a pitch of 8 mm and a 30 degrees blaze angle. The beam-grating distance (from center of the beam to the top of the teeth) is 3 mm. The lorentz factor $\gamma$ for both cases is 118 (60.3~MeV). The other parameters were taken from the CLIO accelerator simulation in ASTRA reported in~\cite{clio}. \par 84 84 \begin{figure}[htb] 85 85 \centering 86 86 \includegraphics[width=0.9\linewidth]{plots/SEY2.eps} 87 \caption{Signle electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (3,6,9 mm). The grating used here is $40\mbox{mm}\times180\mbox{mm}$ with 8 mm pitch and $30^o$ blaze angle. XXX Cut this plot at 15mm XXX}87 \caption{Signle electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (3,6,9 mm). The grating used here is $40\mbox{mm}\times180\mbox{mm}$ with 8 mm pitch and $30^o$ blaze angle. } 88 88 \label{sey} 89 89 \end{figure} … … 96 96 \label{sey2d} 97 97 \end{figure} 98 99 100 101 XXX We need figure \ref{sey2d} for TR as well XXX 98 \begin{figure}[!htb] 99 \centering 100 \includegraphics[width=0.9\linewidth]{plots/2dCTR.eps} 101 \caption{SEY for TR effect. Screen is turned at $45^o$ to beam propagation direction and have diameter 40 mm.} 102 \label{sey2dctr} 103 \end{figure} 104 105 102 106 103 107 \subsection{Coherent Radiation} … … 117 121 118 122 This calculation was done with same parameters as for SEY. For others grating this distribution will be different, but it give us approximate space distribution of SP radiation. At this point, we can conclude, that most of radiation is confined in approx. $\pm 6^\circ$ in azimuthal ($\phi$) angle. So a standard 50~mm parabolic mirror at a distance of 300~mm from the grating will collect most of the radiation.\par 119 To choose the most appropriate grating pitch, one should use Smith-Purcell condition given in equation~\ref{eq:lmab}. 120 121 XXX Give explicit the formula: pitch = f(pulselength) (for maximum emission at 90 deg. \label{eq:pitch_pulselength} XXX 123 To choose the most appropriate grating pitch, one should use Smith-Purcell condition given in equation~\ref{eq:lmab}. For maximum emission at 90 deg. formula \label{eq:pitch_pulselength} is applicable. 124 \begin{equation} 125 l=\frac{2\pi c}{2\sqrt{2ln(2)}}p_{t} 126 \label{eq:pitch_pulselength} 127 \end{equation} 128 where l is grating pitch and $p_{t}$ -- bunch fwhm in time. 122 129 123 130 The relation between the the grating pitch, the pulse length and the angle of maximum emission is given on figure~\ref{mae}. We can see that the green band ($90^\circ$ emission) follows the rule given in equation~\ref{eq:pitch_pulselength}. We can also look at the total energy emitted by the grating as a function of the pulse length and the grating energy. This is shown on figure~\ref{Epp}. On this figure the transition between the coherent and incoherent regime can clearly be seen. … … 145 152 \centering 146 153 \includegraphics[width=0.9\linewidth]{plots/TE.eps} 147 \caption{ XXX Spelling XXX Tolat energy for SP effect as function of pulsewidth and grating pitch. Grating $40\times180$mm with $30^o$ blaze angle. XXX Try to use a log for the vertical scale}154 \caption{Total energy for SP effect presented as function of pulsewidth and grating pitch. Grating is $40\times180$mm with $30^o$ blaze angle. } 148 155 \label{Epp} 149 156 \end{figure} … … 151 158 152 159 153 In the case of CSPR as the pulse length change the angular distribution of the energy will also change. This is shown on figure~\ref{f14}. 160 In the case of CSPR as the pulse length change the angular distribution of the energy will also change. This is shown on figure~\ref{f14}. Same dependence for CTR is shown on figure~\ref{f15}. 154 161 155 162 %Evolution of spectrum for cetain pulselength with pitch is presented on figure \ref{f13}. By changing pitch, we change sampling point in form factor and live region of interest (sampled amplitudes are almost zero) and in this case incoherent part start to dominate. Evolution of spectrum for cetain grating pitch with pulselength is presented on figure \ref{f14}. This situation is similar to previous, except we change in formula \ref{eq:lmab} $\lambda$ instead grating pitch. So in this case for certain sampling points we change width of form factor.\par … … 163 170 \centering 164 171 \includegraphics[width=0.9\linewidth]{plots/constpitch.eps} 165 \caption{Evolution of SP spectrum with constant grating pitch and changing wavelength. Grating $40\times180$mm with 7.9 mm pitch and $30^o$ blaze angle. XXX Can you prepare the same figure for TR?}172 \caption{Evolution of SP spectrum with constant grating pitch and changing wavelength. Grating $40\times180$mm with 7.9 mm pitch and $30^o$ blaze angle. } 166 173 \label{f14} 167 174 \end{figure} 168 175 \begin{figure}[!htb] 176 \centering 177 \includegraphics[width=0.9\linewidth]{plots/CTRpw.eps} 178 \caption{Evolution of CTR spectrum with changing wavelength. Screen is 40mm in diameter.} 179 \label{f15} 180 \end{figure} 169 181 170 182 %\begin{figure}[!htb] … … 191 203 192 204 \section{Conclusion} 193 We have studied both CSPR and CTR and studied how to optimize the experimental parameters. Using the CLIO parameters we expect a signal (in the range 0.3-3 THz [ XXX give in wavelength]) of 5.3e-7 J for CSPR and 1.86e-06 J for CTR with 50 mm parabolic mirror at distance 300mm from grating.\par205 We have studied both CSPR and CTR and studied how to optimize the experimental parameters. Using the CLIO parameters we expect a signal (in the range 0.3-3 THz [ 0.1 - 1 mm]) of 5.3e-7 J for CSPR and 1.86e-06 J for CTR with 50 mm parabolic mirror at distance 300mm from grating.\par 194 206 195 207
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