Off-momentum Optics at SuperKEKB

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eefact 20, HKUST, pteer 25, 20 TUOBB02 Off-montum Opc SuperKE 1. Comac phae-vce 2. Comac cplg Y. Ohnihi Thi work wa upported by JSPS KAKENHI Grt Nr K475.

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ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> <lexit ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> <lexit ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> <lexit ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> <lexit ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> <lexit ha1_bae64="mtplk+j88ae8ls6/8tgp=">achnsyriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqoxislliv8rp2zgn5v1ugekkfcqif4awudpqmwbkgeigxqejavjwhhigfiz8hmuizgpoqtizmfizcggwmggqwygwcxdnvccmjmunmtqyc1lgjvpqjvjajf4fkopaxdrxna/jbzhaddscdbckb4ikgugvybphucmfht8nl06zqfmxscastihptl5ucvxpulqsxgyelrwurmeiy3bauzwtkdbc8aiif8kq/sxvu3/hgwvqtzrdi4q/qnbhocbvr+xldzzgceawwey0hamjgeoygeyacjonco4gklbg0goza4meqwbaledys3dnobttbxmekymtoyqymud3cdciqearuqwlw==</lexit> Comy L x = 100 mm y =4mm H x = 100 mm y =4mm bl: aurent / black(green): mod L x = 200 mm y =4mm H x = 200 mm y =2mm 2

Comy (cont d) y e i a drep bween mod d aurent? 3

Comy (cont d) y e i a drep bween mod d aurent? Nur comy Phae 2 L : ξx = -69 / ξy = -1 H : ξx = -97 / ξy = -168 QC2:ξx = -8 / QC1:ξy = -67 QC2:ξx = -25 / QC1:ξy = -100 L : Δξx = 1~1.5 / Δξy = 2.5~3.3 H : Δξx = 0.5~0.7 / Δξy = 3~3.3 bween mod d re mae 3

Comy (cont d) y e i a drep bween mod d aurent? Nur comy Phae 2 L : ξx = -69 / ξy = -1 H : ξx = -97 / ξy = -168 QC2:ξx = -8 / QC1:ξy = -67 QC2:ξx = -25 / QC1:ξy = -100 L : Δξx = 1~1.5 / Δξy = 2.5~3.3 H : Δξx = 0.5~0.7 / Δξy = 3~3.3 bween mod d re mae 1 ~ 2 % drep i not o large? 3

xtupe Tung Con comy d Twi comy Rave ge i OK. 4

Meaurent of Opc Funcon baed on COD 5

Be Funcon d Phae Advce <lexit ha1_bae64="2hrkurjipkdoliiw1ntvg=">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</lexit> p p j j xi = ) i i co ( i j 2 ( ) = Aj {Cj (Ci co + aij Si ) + Sj (Si co tng parater: j Aj = 2 p Ci,j = i,j co p Si,j = i,j <lexit ha1_bae64="zpwacj4upfhqq2lolfhtwc/ho=">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</lexit> aij = ign( 2 Le-qre fitng: <lexit ha1_bae64="3gemsrhcdfm/ngphwgvf0=">acoxhvsxrrfp1l6gvomrr0miziferdane9a75m7sa/0enpcrhsglrw+cdejwa99odz2uc7/fod+9twidn24ody/+mzxrw7zqe7dgvfnjdrphdulvwi9iuoac3ee9/bmzbm/vq2fh7kfvstrvtvvfp092rzzm2n7vipnwlftpzfce8zevvlgm2zk8trvnx1rra1iquhxgdkoiy9qwpykjjyrwkubpgqckmyct8ngg3gzs5mjhm9gw6klcvwck2xmd/m7zvkjzwpoez2o3yk/mst1iqoqrv9jx9orzxr06vs1irlgxxyuyedmdavnhrxk9h5lto8l/fef/ovjbpv0h/pip6zjcion/dl89gmfblw9+xgwxjdalbjbzrmh/fcb7gi4f89jea9qrz3p3cfucnvttkpw6qa7nmh6f1jgbgg6a==</lexit> = N,M X ( i j xi i=1 N <lexit ha1_bae64="leqe9rmyl6kfnyn6pik=">achvhlsbfd3/ewtatcb8wiawcrfewej3w8yyk7cm+/ybaurhhc/c+amarxqzto4zcieqonnlun+hoq6cndw3t1q7u7p9/eubw/znktv/u3dt0qlnrenpshy9x+i2yykno/sj5rewct3pfelq0xkj1kqpan+1fcbtdwq+3feeetpnkuosjut0clqrmpsxdrcmyh4cbefhwcmhdqss1umfmc4by5s3cgzmyjv0xe5wlw4x29zhtb7f4umzuuixdmz3dmvndmtpbrvqzvoaivx6d36vr4qcrmnctuwhnkpyym7fzh1v5fexq7mpiro6i79/buuqj8++ywdlgtbxnxge2+nhgo4y2pjgem49b0y4hdgomcu5vats8jb9wgnncjjtpjv+ivrkxz/htl5ag06koq=</lexit> j=1 M aij Ci )} N M > 2(M + N ) <lexit ha1_bae64="ndo/tguxejf98vlqzhfgq=">acd3syriwtc4ycjelkxycxnw8vhaofcx1qunbqj+txxsrlcmpozlxpamskxprujsamjuukxqo0mkg8vsy0qzzpcymplezu1mzmy0xoekxqi+cwuzoamvpggnvtgog+gzgcjmqylbmfihlddemkqz5pqy5eqwlqoqyjgmxgygdamvigaqbykvizyloelcuovirkjonjnobvgioazkkwxaxukgaxdvyaitbaooxbwmlunngpknqm1oq8lefydok5cif3ckihqhdfnjqxpdbzgyv4afgh5ihmixq+udgqydvajwdrqavge5fdddlx5kxbgzkeajojmjgpse8akm9awn9awdtzqdxkwczadeoaemb3mwyphgcgu9fqzgd8tmavhkxajvi8ypaj+4=</lexit> i,j N = ~450 BPM, M = 6 teerg i,j j) j 2 xi,a ) i,j with N X 1 <lexit ha1_bae64="kqvjjmdqcgvectp0emflvf6fc=">acqxhnsxtrfd1ow2vtqrhdflojdgcxdeba6kkybd7z8xixlwa7zbhuqhvk6mburtqfetarl3dzv3uoue71ks9iepo3xvd90cefb4+0bl0xo+drktqruenudo5au8mvnk+3khj23neurnn7olxgv9d77vwkrymimr+lorwruutm+ufdoxxzijhtpofvqxbohm6mrtmvrfmfcqidbosgjj5wg+amnnbfaoampej40y2y2yqmrenhlmikcryeikkro1wleqkmd/rz5t5wz/7penfgul9+ivm0m/6sasaqv7zvkpfpe9nh1blozofnq79u1xl8ac6g60bngcyr4q9hxntv4uy6lu5ojlp0jf6w/6/uo198a7/7v3ytuvkgwmdzczlm8hd5bmivufky2/yzg5jmvpjbxuo8bn7oeipx8amutxgnwkqxxbkjnpoy=</lexit> 6 i=1 i = N X i=1 1 i,deign

<lexit ha1_bae64="fab5awvhbkjzfl7phidoxhpyk=">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</lexit> <lexit ha1_bae64="fab5awvhbkjzfl7phidoxhpyk=">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</lexit> <lexit ha1_bae64="fab5awvhbkjzfl7phidoxhpyk=">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</lexit> <lexit ha1_bae64="fab5awvhbkjzfl7phidoxhpyk=">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</lexit> Correcon of Comac Phae-Advce Defion of comac phae-vce: N = 440-0 (#BPM) Comy 0 B @ 1,m(x) 1,d(x) 2,m(x) 2,d(x)... N,m(x) N,d(x) 1,m(y) 1,d(y) 2,m(y) 2,d(y)... N,m(y) N,d(y) x,m x,d 1 C A = M rep 0 B @ We ve te en to ob ΔK2. K 2,1 /K 2,1 K 2,2 /K 2,2... K 2,M /K 2,M 1 C A y,m y,d SD + SF + SL : M = 54 (#familie) 7

xtupe Magn L We have 54 familie (pa). L SD type SF type SL type amnt of correcon 8

Comac Phae-Advce L 9 Bere correcon After correcon Phae 2 x = 200 mm y =3mm <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> <lexit ha1_bae64="s9z2c/b7t5iohtddnfzcg=">achnhnsxtrfd2oty1ra1o3ox4u6kyqam9knjhetdzpspg/pfzewbrmv/amuugukq37q9w4x9w4u8olioehnzifeeffcd95c3bpmqdidlevkomjg696qrude2x11/ttipk0pswwpn8odm6jar6zmosfmc6zhfz6rw5qzpajkprmqqrgupn33i/ki23e12i61acmgqzsmm9fogxdojbcnq+aoxbpiebamragieb9w6oz5jmzwxgafsdy2outwhbdn+3eff3/zqdb4fnz8zufpznxbz2t1whp9l21e9ugrvmb44etqzx9vnq8w+qf3qn0kvj3r6b/cipstvape6vzkvtmv+/9gl3babjlg5jgmdaqk+u1fgvhjzlbcj5ttsoadpjhh/7uaej5ww+9wc/8bt/lissvqhshvg1gusor0ma==</lexit> i(x) e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n i(y) e V w F A I e V w F A I e V w F A I e V w F A I e V w F A I e V w F A I i(x) e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n e L 3 T 1 e z n i(y) e V w F A I e V w F A I e V w F A I e V w F A I e V w F A I e V w F A I t> diff. diff. diff. diff. T correcon i uccefly perrd eept r t IR. Mod/Mea.

Comy L Bere correcon After correcon 1.97 (a) / 1.04 (mod) 1.97 (a) / 2.01 (mod) -2.15 (a) / 2.62 (mod) -2.15 (a) / -1. (mod) T comy i wl reoduced by t mod after t correcon. 10

Comac Phae-Advce L (Phae 1) diff. diff. No Q Phae 1 diff. diff. eefact 2016 bere ξx:2.97(a) / 0.87 (mod) after ξx:2.97(a) / 3.00 (mod) L L ξy:1.88(a) / 5.78 (mod) ξy:1.88(a) / 2.15 (mod) 11

Meaurent of Comac Cplg baed on TbT An 12

Meaurent Reconuct phae pace IP by ug 2 BPM QC1 BPM or QC2 BPM BPM BPM QC1 (L) IP BPM QC1 (R) BPM y [mm] QC2 (L) QC2 (R) reconuct (x,, y, py) IP om two BPM x [mm] x p x y p y = µ 0 r 4 r 2 0 µ r 3 r 1 r 1 r 2 µ 0 r 3 r 4 0 µ u p u v p v Ect norm mode of bron laon H-mode phy coorde µ 2 +(r 1 r 4 r 2 r 3 )=1 norm coorde (decpled) 13

TbT An Meaured phae pace plot IP Beam i kked by a jecon kker. (horizonl) [m] L cplg are ected om H-mode [m] [m] L [m] [m]

Comac Be Funcon IP 15 [m] L L = p/p 0 <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit 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ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> x [m] e hk qz vf OP g7 5m r7 bt CP =k Hc LH gl BR T3 1M E2 g BD im bp hi jl YN Nm dp gc WG SP Q3 do d/ dj 8M EG /D DA jf IZ MR nr P2 Bg g8 kd h NL RA 6z T1 Xf PX JN B9 TB hg lm +2 tl ZH d1 Y3 em AX fl Gu By uu f5 hu IY 3y px Sr qe eu zl br KS 1O DC w8 WX Jd n7 iu Ga bt rj pl pg kp mi 6C Vm t9 wj 2p Z IR ZU PS E4 ga SR Gi OL VT hx RD wt wg OI GJ gg ei ab Me Vw WU OX 2Z w5 HK Li 2O Fz Cm mr /d 7i bx Ct Dx 8q 9r MU rq BX 1t 8g Vf my v0 3c vj 9v qa jh qv vx e1 6W X V5 b2 Kx v/ Q Y pm K0 Jv r3 Q2 Oq r yb vc 9i 9I RV qu na O9 3D LT qa lb Fv x DQ Ma BZ k1 ij QO TV b8 D Ry iv tm kz m+ rc om af Y0 Dw GD H+ Mk M p5 nd 3e xd jg 5x V6 mf QV nq rk IF 40 vd Yo BA 4d =A e hk qz vf OP g7 5m r7 bt CP =k Hc LH gl BR T3 1M E2 g BD im bp hi jl YN Nm dp gc WG SP Q3 do d/ dj 8M EG /D DA jf IZ MR nr P2 Bg g8 kd h NL RA 6z T1 Xf PX JN B9 TB hg lm +2 tl ZH d1 Y3 em AX fl Gu By uu f5 hu IY 3y px Sr qe eu zl br KS 1O DC w8 WX Jd n7 iu Ga bt rj pl pg kp mi 6C Vm t9 wj 2p Z IR ZU PS E4 ga SR Gi OL VT hx RD wt wg OI GJ gg ei ab Me Vw WU OX 2Z w5 HK Li 2O Fz Cm mr /d 7i bx Ct Dx 8q 9r MU rq BX 1t 8g Vf my v0 3c vj 9v qa jh qv vx e1 6W X V5 b2 Kx v/ 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JN B9 TB hg lm +2 tl ZH d1 Y3 em AX fl Gu By uu f5 hu IY 3y px Sr qe eu zl br KS 1O DC w8 WX Jd n7 iu Ga bt rj pl pg kp mi 6C Vm t9 wj 2p Z IR ZU PS E4 ga SR Gi OL VT hx RD wt wg OI GJ gg ei ab Me Vw WU OX 2Z w5 HK Li 2O Fz Cm mr /d 7i bx Ct Dx 8q 9r MU rq BX 1t 8g Vf my v0 3c vj 9v qa jh qv vx e1 6W X V5 b2 Kx v/ Q Y pm K0 Jv r3 Q2 Oq r yb vc 9i 9I RV qu na O9 3D LT qa lb Fv x DQ Ma BZ k1 ij QO TV b8 D Ry iv tm kz m+ rc om af Y0 Dw GD H+ Mk M p5 nd 3e xd jg 5x V6 mf QV nq rk IF 40 vd Yo BA 4d =A e hk qz vf OP g7 5m r7 bt CP =k Hc LH gl BR T3 1M E2 g BD im bp hi jl YN Nm dp gc WG SP Q3 do d/ dj 8M EG /D DA jf IZ MR nr P2 Bg g8 kd h NL RA 6z T1 Xf PX JN B9 TB hg lm +2 tl ZH d1 Y3 em AX fl Gu By uu f5 hu IY 3y px Sr qe eu zl br KS 1O DC w8 WX Jd n7 iu Ga bt rj pl pg kp mi 6C Vm t9 wj 2p Z IR ZU PS E4 ga SR Gi OL VT hx RD wt wg OI GJ gg ei ab Me Vw WU OX 2Z w5 HK Li 2O Fz Cm mr /d 7i bx Ct Dx 8q 9r MU rq BX 1t 8g Vf my v0 3c vj 9v qa jh qv vx e1 6W X V5 b2 Kx v/ Q Y pm K0 Jv r3 Q2 Oq r yb vc 9i 9I RV qu na O9 3D LT qa lb Fv x DQ Ma BZ k1 ij QO TV b8 D Ry iv tm kz m+ rc om af Y0 Dw GD H+ Mk M p5 nd 3e xd jg 5x V6 mf QV nq rk IF 40 vd Yo BA 4d =A e hk qz vf OP g7 5m r7 bt CP =k Hc LH gl BR T3 1M E2 g BD im bp hi jl YN Nm dp gc WG SP Q3 do d/ dj 8M EG /D DA jf IZ MR nr P2 Bg g8 kd h NL RA 6z T1 Xf PX JN B9 TB hg lm +2 tl ZH d1 Y3 em AX fl Gu By uu f5 hu IY 3y px Sr qe eu zl br KS 1O DC w8 WX Jd n7 iu Ga bt rj pl pg kp mi 6C Vm t9 wj 2p Z IR ZU PS E4 ga SR Gi OL VT hx RD wt wg OI GJ gg ei ab Me Vw WU OX 2Z w5 HK Li 2O Fz Cm mr /d 7i bx Ct Dx 8q 9r MU rq BX 1t 8g Vf my v0 3c vj 9v qa jh qv vx e1 6W X V5 b2 Kx v/ Q Y pm K0 Jv r3 Q2 Oq r yb vc 9i 9I RV qu na O9 3D LT qa lb Fv x DQ Ma BZ k1 ij QO TV b8 D Ry iv tm kz m+ rc om af Y0 Dw GD H+ Mk M p5 nd 3e xd jg 5x V6 mf QV nq rk IF 40 vd Yo BA 4d =A Horizonl be* comy 1 x @ x @ = 50 <lexit 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ha1_bae64="ghbup7+qc7kgg8tz=">axhvg/sx2u0zhlcsckq5ihol4vgqojimbwqrprna7o7s67c0us5veuqsko+d2fr1qpdsqjow734d5btm52b733zzyntyovwp1xunruwl3c/qcpb4fywyovo7gq6izvfeuitflywi6hkrr1v8ldn+pnybf6i7l1+kpggycvklai0sxmk3krjxder021maigoobt8l1qx2ohw4vxho5mspsgoxbwo6avlppjy9qh2sb/gwecbda3vi+dcmnqriuwizw0xcxmripfsleryrmc2en3i10mf9xrdrxqna41m094ivbyztor3snz3sex2jx3+12l62eqydoy+pf37+v1xzq/qnmarefxpu6z9cy/3c+xs+8nb9pjmixvrp3rfj/nd25ut85+r4w+bspam/7xgfy5pevmyyn7upm5zjwnpmvbruqwavv0nzgyb3p6m=</lexit> <lexit ha1_bae64="jersz378dyo1lqaeccdvwnldw=">axhnsxth1zfq09hhuhgl+jgrhl7rwcnu6pi/4b/wmpt+dc8evfrwj5qefbxm1mts9h1m5pln32bcukvf33wf0dt54odg3nrp49gxuvxkez8mtfbbkillmku0rjkrfpuff3oxiffgb5iiuow2x568orhymxa/vieinmqunmi5/pc23avyimrh96hd1ofxyl+tki1sagz2bircfjfucmuanhoejhxhkbr2czo0iyipdf+ijrxrm5wlowe8djhq+9bndmnko9pkvzj1hzwbrte6oqtj/p/q+1krx8rz25xk0ngry/e6/qgbpbv91t89g9qxn3pv7d4tvk6+dxx676wnpvm0yf6xf4/0jwd8w381q33evnshhh2d/+dqxwmpjviesn7iig8u84feeqxin/fl7d+u19d7akrkv0gt7cc0=</lexit> mod

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ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> <lexit ha1_bae64="gxfg8cle0iltswcf8jjfg=">acehhvhlsnq7/qquhhcbiuvtz2i4a5c+kvkosjig5lidlyigqj4gw78ard+grhuemsfkzqoiuqm49d87cczuhpn0w3o7u5ut+964jz913b9tphgiytne/h+5vviqfwk6zjq2c7pu45vtexdmlviv3h1ufmv3ctqizwmde/gradnkiy8lnxskpgwuuyjag4kyx6oiengnm+iafzhekrvlrhjcoto79dxfrmprqqu0xz6wkqna3q7qhr3r/tvct6hf6q26lrhfbdfwvoev9cxrtk1wlvxsetz+rb8fpq7mpqbzjo6ynd3finnmqlevk6ae4vab1otmzjrpghrkkmtt6az2xi5f08hi0ufnvkk1wn3hrvgvhg6qvki04voex/6xa</lexit> Comac Cplg L r1* r2* [m] = p/p 0 = p/p 0 ute v i difft, but lope i OK r3* [1/m] r3* = -470 r4* = p/p 0 16 = p/p 0

Summary We have aured comac phae vce d correct tm by extupe magn. comparion bween Phae 1(w Q) d Phae 2(with Q) Comac cplg t IP o aured by ug TbT BPM. Meaurent d correcon of comac opc funcon will be impornt to ime nam aperture d lumoity perrmce.