The narrow-band impedance for the CMS experimental chamber consists of several resonators of the form (1), the parameters for which are given in Tabs. 5 and 6.
|
| Q | |
| MHz | M | |
| 377.0318 | 52230 | 0.0143799959 |
| 405.9037 | 53717 | 0.0094233978 |
| 429.3622 | 54683 | 0.0029151936 |
| 449.9036 | 55736 | 0.0030414101 |
| 469.4352 | 56713 | 0.0036978174 |
| 487.8627 | 57187 | 0.0065667512 |
| 505.6887 | 58068 | 0.0041870586 |
| 522.8752 | 58606 | 0.0037995001 |
| 539.6390 | 59301 | 0.0019120649 |
| 555.9085 | 59556 | 0.0054062967 |
| 571.7696 | 59777 | 0.0074501183 |
| 587.1030 | 60033 | 0.0027672249 |
| 602.1747 | 60800 | 0.0027702037 |
| 617.1860 | 61819 | 0.0027162411 |
| 632.0662 | 62108 | 0.0104182498 |
| 646.6402 | 62320 | 0.0186548841 |
| 660.9645 | 62974 | 0.0014599614 |
| 675.1268 | 63830 | 0.0137874230 |
| 689.3647 | 63875 | 0.0321866830 |
| 703.4898 | 64191 | 0.0117533047 |
| 717.0502 | 65442 | 0.0256672155 |
| 730.9768 | 65460 | 0.0321239268 |
| 744.7866 | 66537 | 0.0073310018 |
| 758.4371 | 68721 | 0.0086235260 |
| 760.8246 | 97030 | 0.0138749352 |
| 772.2490 | 67989 | 0.0300684217 |
| 786.2016 | 69870 | 0.0111336881 |
| 796.7199 | 91030 | 0.0034391622 |
|
| Q | |
| MHz | M | |
| 806.178725 | 65718 | 0.0032314156 |
| 819.914840 | 66181 | 0.0024767592 |
| 827.934807 | 98326 | 0.0011779502 |
| 833.735978 | 66372 | 0.0030504240 |
| 847.464128 | 66886 | 0.0032327712 |
| 853.857491 | 98127 | 0.0004833148 |
| 861.109509 | 67139 | 0.0039772346 |
| 874.735214 | 68039 | 0.0028151592 |
| 877.122400 | 96832 | 0.0016194240 |
| 888.354748 | 68161 | 0.0029541638 |
| 898.781637 | 97071 | 0.0017999568 |
| 902.084016 | 68529 | 0.0024503738 |
| 915.710966 | 69116 | 0.0024360108 |
| 919.906951 | 97091 | 0.0023059004 |
| 929.256448 | 69084 | 0.0023702604 |
| 940.406590 | 96883 | 0.0007463622 |
| 942.852344 | 69417 | 0.0030562996 |
| 956.208720 | 69322 | 0.0031899786 |
| 960.086981 | 96813 | 0.0000710126 |
| 969.702617 | 69144 | 0.0033781084 |
| 978.861948 | 96529 | 0.0012577822 |
| 983.002134 | 69721 | 0.0029960980 |
| 996.157673 | 71110 | 0.0028917486 |
| 997.347061 | 93734 | 0.0013455842 |
| 1009.572220 | 70450 | 0.0031873408 |
| 1015.499440 | 95964 | 0.0026448550 |
| 1022.798870 | 70802 | 0.0036858574 |
| 1033.522250 | 95513 | 0.0003260078 |
| 1036.178940 | 70969 | 0.0029908172 |
| 1049.264510 | 71559 | 0.0025464756 |
| 1051.242180 | 96305 | 0.0014850864 |
| 1052.885920 | 120708 | 0.0000197992 |
| 1062.376810 | 70873 | 0.0030326952 |
| 1068.549400 | 95813 | 0.0013069240 |
| 1075.594290 | 71477 | 0.0028170786 |
| 1085.772260 | 95128 | 0.0017314676 |
| 1088.652340 | 72267 | 0.0027906538 |
| 1092.715920 | 124699 | 0.0000760940 |
| 1101.758030 | 73338 | 0.0014019066 |
| 1102.958140 | 92769 | 0.0021970440 |
| 1114.881450 | 72463 | 0.0033082536 |
| 1119.587080 | 95290 | 0.0007429384 |
As with the cavity higher order modes, the modes for the CMS experimental chamber are so narrow that they must be broadened to insure that the correct values are obtained.
The average
-function is computed by taking the value of
at the IP (which is 0.5 m [2]) and
assuming that the entire length of the chamber is treated as
a drift. None of the modes has a significant penetration to
less than 8 m or more than 12 m. Thus, the average
-function
is computed by averaging over that range; the result is 203 m.