Changeset 583 in ETALON
- Timestamp:
- Apr 28, 2016, 5:11:31 PM (8 years ago)
- Location:
- papers/2016_IPAC/IPAC16_SP_CTR
- Files:
-
- 5 edited
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- Unmodified
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- Removed
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papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.aux
r557 r583 19 19 \@writefile{toc}{\contentsline {subsection}{Single Electron Yield}{1}} 20 20 \@writefile{toc}{\contentsline {subsection}{Coherent Radiation}{1}} 21 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Single 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 $40\times 180$ \si {mm^2}with 8 mm pitch and $30^o$ blaze angle. \relax }}{2}} 21 \citation{clio} 22 \citation{clio} 23 \citation{clio} 24 \bibcite{GF}{1} 25 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Single electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (\SIlist {3;6;9}{mm}). The grating used here is $40\times 180$ \si {mm^2} with 8 mm pitch and $30^o$ blaze angle. \relax }}{2}} 22 26 \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} 23 27 \newlabel{sey}{{1}{2}} … … 30 34 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Maximum angle of emission for SP effect as function of pulsewidth and grating pitch. Grating $40\times 180$ \si {mm^2} with $30^o$ blaze angle. The beam-grating separation is 3~mm.\relax }}{2}} 31 35 \newlabel{mae}{{4}{2}} 32 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Total energy for SP effect presented as function of pulsewidth and grating pitch. Grating is $40\times 180$ \si {mm^2} with $30^o$ blaze angle. \relax }}{2}} 33 \newlabel{Epp}{{5}{2}} 34 \citation{clio} 35 \citation{clio} 36 \citation{clio} 37 \bibcite{GF}{1} 36 \@writefile{toc}{\contentsline {section}{Conclusion}{2}} 38 37 \bibcite{GFa}{2} 39 38 \bibcite{IPAC14}{3} 40 39 \bibcite{GD}{4} 41 40 \bibcite{clio}{5} 41 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Total energy for SP effect presented as function of pulsewidth and grating pitch. Grating is $40\times 180$ \si {mm^2} with $30^o$ blaze angle. \relax }}{3}} 42 \newlabel{Epp}{{5}{3}} 42 43 \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Evolution of the CSPR spectrum with a constant grating pitch and a wavelength changing with the angle. The grating dimensions are $40\times 180$~\si {mm^2} with \SI {8}{mm} pitch and \ang {30} blaze angle. \relax }}{3}} 43 44 \newlabel{f14}{{6}{3}} 44 45 \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Evolution of CTR spectrum with changing wavelength. The screen has a diameter of \SI {40}{mm}.\relax }}{3}} 45 46 \newlabel{f15}{{7}{3}} 46 \@writefile{toc}{\contentsline {section}{Conclusion}{3}}47 47 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Profile of the bunch at the exit of the CLIO accelerating section (see~\cite {clio}).\relax }}{3}} 48 48 \newlabel{Prof1}{{8}{3}} 49 \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces CSPR and CTR energy density as function of wavelength. The CSPR spectrum is presented for beam-grating separations of \SIlist {3;6;9}{mm}. The grating dimensions are $40\times 180$ \si {mm^2} with \SI {8}{mm} pitch and \ang {30} blaze angle. The screen diameter for TR is \SI {40}{mm}. The signal is measured as integrated with a \SI {50}{mm} diameter parabolic mirror located \SI {300}{mm} from the beam axis.\relax }}{ 3}}50 \newlabel{spctr}{{9}{ 3}}49 \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces CSPR and CTR energy density as function of wavelength. The CSPR spectrum is presented for beam-grating separations of \SIlist {3;6;9}{mm}. The grating dimensions are $40\times 180$ \si {mm^2} with \SI {8}{mm} pitch and \ang {30} blaze angle. The screen diameter for TR is \SI {40}{mm}. The signal is measured as integrated with a \SI {50}{mm} diameter parabolic mirror located \SI {300}{mm} from the beam axis.\relax }}{4}} 50 \newlabel{spctr}{{9}{4}} -
papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.log
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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. 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'om' on line 7400. 249 (/usr/local/texlive/2013/texmf-dist/tex/latex/tools/array.sty 250 Package: array 2008/09/09 v2.4c Tabular extension package (FMi) 251 \col@sep=\dimen137 252 \extrarowheight=\dimen138 253 \NC@list=\toks16 254 \extratabsurround=\skip49 255 \backup@length=\skip50 256 ) 257 (/usr/local/texlive/2013/texmf-dist/tex/latex/l3packages/l3keys2e/l3keys2e.sty 258 Package: l3keys2e 2013/03/12 v4467 LaTeX2e option processing using LaTeX3 keys 259 ) 260 Variant \tl_if_blank:VTF already defined; not changing it on line 50 261 \l__siunitx_tmp_box=\box45 262 \l__siunitx_tmp_dim=\dimen139 263 \l__siunitx_tmp_int=\count118 264 Variant \prop_get:NVNT already defined; not changing it on line 371 265 Variant \prop_get:NVNF already defined; not changing it on line 372 266 Variant \prop_get:NVNTF already defined; not changing it on line 373 267 \l__siunitx_number_mantissa_length_int=\count119 268 \l__siunitx_number_uncert_length_int=\count120 269 \l__siunitx_round_int=\count121 270 \l__siunitx_process_decimal_int=\count122 271 \l__siunitx_process_uncertainty_int=\count123 272 \l__siunitx_process_fixed_int=\count124 273 \l__siunitx_process_integer_min_int=\count125 274 \l__siunitx_process_precision_int=\count126 275 \l__siunitx_group_min_int=\count127 276 \l__siunitx_angle_marker_box=\box46 277 \l__siunitx_angle_unit_box=\box47 278 \l__siunitx_angle_marker_dim=\dimen140 279 \l__siunitx_angle_unit_dim=\dimen141 280 \l__siunitx_unit_int=\count128 281 \l__siunitx_unit_denominator_int=\count129 282 \l__siunitx_unit_numerator_int=\count130 283 \l__siunitx_unit_prefix_int=\count131 284 \l__siunitx_unit_prefix_base_int=\count132 285 \l__siunitx_unit_prefix_gram_int=\count133 286 \l__siunitx_number_product_int=\count134 287 \c__siunitx_one_fill_skip=\skip51 288 \l__siunitx_table_unit_align_skip=\skip52 289 \l__siunitx_table_exponent_dim=\dimen142 290 \l__siunitx_table_integer_dim=\dimen143 291 \l__siunitx_table_mantissa_dim=\dimen144 292 \l__siunitx_table_marker_dim=\dimen145 293 \l__siunitx_table_result_dim=\dimen146 294 \l__siunitx_table_uncert_dim=\dimen147 295 \l__siunitx_table_fill_pre_dim=\dimen148 296 \l__siunitx_table_fill_post_dim=\dimen149 297 \l__siunitx_table_fill_mid_dim=\dimen150 298 \l__siunitx_table_pre_box=\box48 299 \l__siunitx_table_post_box=\box49 300 \l__siunitx_table_mantissa_box=\box50 301 \l__siunitx_table_result_box=\box51 302 \l__siunitx_table_number_align_skip=\skip53 303 \l__siunitx_table_text_align_skip=\skip54 304 ................................................. 305 . LaTeX info: "xparse/define-command" 306 . 307 . Defining document command \DeclareBinaryPrefix with arg. spec. 'mmm' on line 308 . 7101. 309 ................................................. 310 ................................................. 311 . LaTeX info: "xparse/define-command" 312 . 313 . Defining document command \DeclareSIPostPower with arg. spec. 'mm' on line 314 . 7104. 315 ................................................. 316 ................................................. 317 . LaTeX info: "xparse/define-command" 318 . 319 . Defining document command \DeclareSIPrefix with arg. spec. 'mmm' on line 320 . 7107. 321 ................................................. 322 ................................................. 323 . LaTeX info: "xparse/define-command" 324 . 325 . Defining document command \DeclareSIPrePower with arg. spec. 'mm' on line 326 . 7110. 327 ................................................. 328 ................................................. 329 . LaTeX info: "xparse/define-command" 330 . 331 . Defining document command \DeclareSIQualifier with arg. spec. 'mm' on line 332 . 7113. 333 ................................................. 334 ................................................. 335 . LaTeX info: "xparse/define-command" 336 . 337 . Defining document command \DeclareSIUnit with arg. spec. 'O{}mm' on line 338 . 7116. 339 ................................................. 340 ................................................. 341 . LaTeX info: "xparse/define-command" 342 . 343 . Defining document command \DeclareSIUnitWithOptions with arg. spec. 'mmm' on 344 . line 7119. 345 ................................................. 346 ................................................. 347 . LaTeX info: "xparse/define-command" 348 . 349 . Defining document command \ang with arg. spec. 'o>{\SplitArgument {2}{;}}m' 350 . on line 7134. 351 ................................................. 352 ................................................. 353 . LaTeX info: "xparse/define-command" 354 . 355 . Defining document command \num with arg. spec. 'om' on line 7142. 356 ................................................. 357 ................................................. 358 . LaTeX info: "xparse/define-command" 359 . 360 . Defining document command \numlist with arg. spec. 'o>{\SplitList {;}}m' on 361 . line 7150. 362 ................................................. 363 ................................................. 364 . LaTeX info: "xparse/define-command" 365 . 366 . Defining document command \numrange with arg. spec. 'omm' on line 7158. 367 ................................................. 368 ................................................. 369 . LaTeX info: "xparse/define-command" 370 . 371 . Defining document command \SIlist with arg. spec. 'o>{\SplitList {;}}mm' on 372 . line 7169. 373 ................................................. 374 ................................................. 375 . LaTeX info: "xparse/define-command" 376 . 377 . Defining document command \SIrange with arg. spec. 'ommm' on line 7180. 378 ................................................. 379 ................................................. 380 . LaTeX info: "xparse/define-command" 381 . 382 . Defining document command \SI with arg. spec. 'omom' on line 7191. 383 ................................................. 384 ................................................. 385 . LaTeX info: "xparse/define-command" 386 . 387 . Defining document command \sisetup with arg. spec. 'm' on line 7194. 388 ................................................. 389 ................................................. 390 . LaTeX info: "xparse/define-command" 391 . 392 . Defining document command \tablenum with arg. spec. 'om' on line 7206. 393 ................................................. 394 ................................................. 395 . LaTeX info: "xparse/define-command" 396 . 397 . Defining document command \si with arg. spec. 'om' on line 7217. 398 ................................................. 399 ................................................. 400 . LaTeX info: "xparse/define-command" 401 . 402 . Defining document command \__siunitx_bookmark_num:w with arg. spec. 'om' on 403 . line 7262. 404 ................................................. 405 ................................................. 406 . LaTeX info: "xparse/define-command" 407 . 408 . Defining document command \__siunitx_bookmark_numrange:w with arg. spec. 409 . 'omm' on line 7264. 410 ................................................. 411 ................................................. 412 . LaTeX info: "xparse/define-command" 413 . 414 . Defining document command \__siunitx_bookmark_SI:w with arg. spec. 'omom' on 415 . line 7266. 416 ................................................. 417 ................................................. 418 . LaTeX info: "xparse/define-command" 419 . 420 . Defining document command \__siunitx_bookmark_SIlist:w with arg. spec. 'omm' 421 . on line 7268. 422 ................................................. 423 ................................................. 424 . LaTeX info: "xparse/define-command" 425 . 426 . Defining document command \__siunitx_bookmark_SIrange:w with arg. spec. 427 . 'ommm' on line 7270. 428 ................................................. 429 ................................................. 430 . LaTeX info: "xparse/define-command" 431 . 432 . Defining document command \__siunitx_bookmark_si:w with arg. spec. 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papers/2016_IPAC/IPAC16_SP_CTR/MOPMB003.tex
r557 r583 93 93 \centering 94 94 \includegraphics[width=0.9\linewidth]{MOPMB003f1.pdf} 95 \caption{Single 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 $40\times180$ \si{mm^2}with 8 mm pitch and $30^o$ blaze angle. }95 \caption{Single electron yield for TR and SP. The screen diameter for TR is 40mm. SP SEY is presented for different beam-grating separation (\SIlist{3;6;9}{mm}). The grating used here is $40\times180$ \si{mm^2} with 8 mm pitch and $30^o$ blaze angle. } 96 96 \label{sey} 97 97 \end{figure} 98 98 99 99 The SEY spatial energy distribution for SP and TR are also significantly different. The spatial distribution of the energy per solid angle and per grating length is presented on figure~\ref{sey2d}. 100 \begin{figure}[ !htb]100 \begin{figure}[htbp] 101 101 \centering 102 102 \includegraphics[width=0.9\linewidth]{MOPMB003f2.pdf} 103 \caption{SEY for SP effect. Grating $40\times180$ \si{mm^2} with 8~mm pitch and $30^o$ blaze angle. }103 \caption{SEY for SP effect. Grating $40\times180$ \si{mm^2} with 8~mm pitch and $30^o$ blaze angle. } 104 104 \label{sey2d} 105 105 \end{figure} … … 129 129 130 130 The calculation of coherent radiation was done with the same parameters than for the SEY. For others grating this distribution would be different, but this gives us an approximate space distribution of the CSPR. From these simulations, we can conclude that most of the radiation is confined in approximatively $\pm$\ang{6} 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 131 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.131 To choose the most appropriate grating pitch, one should use the condition given in equation~\ref{eq:lmab}. For maximum emission at 90 deg. the formula \label{eq:pitch_pulselength} is applicable. 132 132 \begin{equation} 133 133 l=\frac{2\pi c}{2\sqrt{2ln(2)}}p_{t} \approx 8\times10^{8}p_{t} 134 134 \label{eq:pitch_pulselength} 135 135 \end{equation} 136 where l is grating pitch in meters and $p_{t}$ -- bunch fwhmin seconds.136 where l is grating pitch in meters and $p_{t}$ is the bunch FWHM in seconds. 137 137 138 138 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. 139 139 140 140 141 \begin{figure}[ !htb]141 \begin{figure}[htbp] 142 142 \centering 143 143 \includegraphics[width=0.9\linewidth]{MOPMB003f4.pdf} … … 157 157 158 158 159 \begin{figure}[ !htb]159 \begin{figure}[htbp] 160 160 \centering 161 161 \includegraphics[width=0.9\linewidth]{MOPMB003f5.pdf} … … 175 175 % \label{f13} 176 176 %\end{figure} 177 \begin{figure}[!htb] 177 178 \begin{figure}[tbp] 178 179 \centering 179 180 \includegraphics[width=0.9\linewidth]{MOPMB003f6.pdf} … … 181 182 \label{f14} 182 183 \end{figure} 183 \begin{figure}[!htb] 184 185 \begin{figure}[tbp] 184 186 \centering 185 187 \includegraphics[width=0.9\linewidth]{MOPMB003f7.pdf} … … 188 190 \end{figure} 189 191 190 \begin{figure}[!htb] 191 \centering 192 \includegraphics[width=0.9\linewidth]{MOPMB003f8.pdf} 192 \begin{figure}[bp] 193 \centering 194 \vspace{1.8cm} 195 \includegraphics[width=0.8\linewidth]{MOPMB003f8.pdf} 193 196 \caption{Profile of the bunch at the exit of the CLIO accelerating section (see~\cite{clio}).} 194 197 \label{Prof1} 195 \end{figure}% 196 \begin{figure}[!htb] 197 \centering 198 \includegraphics[width=0.9\linewidth]{MOPMB003f9.pdf} 198 \end{figure} 199 200 \begin{figure}[tbp] 201 \centering 202 \includegraphics[width=0.8\linewidth]{MOPMB003f9.pdf} 199 203 \caption{CSPR and CTR energy density as function of wavelength. The CSPR spectrum is presented for beam-grating separations of \SIlist{3;6;9}{mm}. The grating dimensions are $40\times180$ \si{mm^2} with \SI{8}{mm} pitch and \ang{30} blaze angle. The screen diameter for TR is \SI{40}{mm}. The signal is measured as integrated with a \SI{50}{mm} diameter parabolic mirror located \SI{300}{mm} from the beam axis.} 200 204 \label{spctr} … … 214 218 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 0.03-3 THz [ 0.1 - 10 mm]) of \SI{8.37e-7}{J} for CSPR and \SI{7.35e-08}{J} for CTR.\par 215 219 216 217 220 %\columnbreak 221 222 %\clearfigure 218 223 219 224 \begin{thebibliography}{1} … … 223 228 \newblock {\em 3rd ed}, (Wiley, 1995). 224 229 \bibitem{GFa} 225 S. Casalbuoni and comp.230 S. Casalbuoni {\em et al.} 226 231 \newblock Ultrabroadband terahertz source and beamline based on coherent transition radiation 227 232 \newblock {\em Phys. Rev. AB}, 12, 030705 (2009) … … 238 243 239 244 \bibitem{clio} 240 Nicolas Delerue \& others245 Nicolas Delerue {\em et al.} 241 246 \newblock Study of Short Bunches at the Free Electron Laser CLIO 242 247 \newblock {\em IPAC16}
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