Variant of alternating phase focusing with the stepped change of the synchronous phase

In the paper the calculation of the accelerating structure with the stepped change of the synchronous phase is presented. The method is tested for the calculation of the accelerating structure and He⁺ beam with A/q=4 in the energy range from 30 keV/n to 0.975 MeV/n. В роботі запропонований розраху...

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Published in:Вопросы атомной науки и техники
Date:2004
Main Authors: Bomko, V.A., Kobets, A.P., Ptukhina, Z.E., Tishkin, S.S.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2004
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/79374
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Cite this:Variant of alternating phase focusing with the stepped change of the synchronous phase / V.A. Bomko, A.P. Kobets, Z.E. Ptukhina, S.S. Tishkin // Вопросы атомной науки и техники. — 2004. — № 2. — С. 153-154. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bomko, V.A.
Kobets, A.P.
Ptukhina, Z.E.
Tishkin, S.S.
author_facet Bomko, V.A.
Kobets, A.P.
Ptukhina, Z.E.
Tishkin, S.S.
citation_txt Variant of alternating phase focusing with the stepped change of the synchronous phase / V.A. Bomko, A.P. Kobets, Z.E. Ptukhina, S.S. Tishkin // Вопросы атомной науки и техники. — 2004. — № 2. — С. 153-154. — Бібліогр.: 3 назв. — англ.
collection DSpace DC
container_title Вопросы атомной науки и техники
description In the paper the calculation of the accelerating structure with the stepped change of the synchronous phase is presented. The method is tested for the calculation of the accelerating structure and He⁺ beam with A/q=4 in the energy range from 30 keV/n to 0.975 MeV/n. В роботі запропонований розрахунок прискорюючої структури із покроковим зміненням синхронної фази. Метод апробовано на розрахунку прискорюючої структури і динаміки пучка іонів Не⁺ з A/q=4 в інтервалі енергій 30 кеВ/н...0.975 МеВ/н. В работе предлагается расчет ускоряющей структуры с шаговым изменением синхронной фазы. Метод апробирован на расчете ускоряющей структуры и динамики пучка ионов Не⁺ с A/q=4 в диапазоне энергий 30 кэВ/н...0.975 МэВ/н.
first_indexed 2025-12-07T16:20:37Z
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fulltext VARIANT OF ALTERNATING PHASE FOCUSING WITH THE STEPPED CHANGE OF THE SYNCHRONOUS PHASE V.A.Bomko, A.P.Kobets, Z.E.Ptukhina, S.S.Tishkin National Science Center “Kharkov Institute of Physics and Technology”, 61108,Kharkov, Ukraine, bomko@kipt.kharkov.ua In the paper the calculation of the accelerating structure with the stepped change of the synchronous phase is pre- sented. The method is tested for the calculation of the accelerating structure and He+ beam with A/q=4 in the energy range from 30 keV/n to 0.975 MeV/n. PACS: 29.17.+w 1. INTRODUCTION The alternating-phase focusing (APF) of ion beams in linear accelerators since the moment of its discov- ery [1,2] has passed several stages of improvement until it has reached characteristics sufficient to its high com- petitiveness in modern accelerating structures. Howev- er, the main drawbacks of the traditional APF – the low acceleration rate, the low limit current of ions being ac- celerated - are to be improved. The structure of a focusing period in the method of stepped change of the synchronous phase (SCP) con- tains a number of cells where the synchronous phase in the cells changes in the stepped manner from the nega- tive values (bunching phase) to the synchronous phase less in absolute value and ϕs=0, to the region of positive (focusing) phases and ends in the transition to negative values. This phase variation in the center of gaps be- tween cells gives a possibility to ‘capture’ the region of the strong bunching and focusing, to ensure the high ac- celeration rate and to provide, together with the increas- ing field, the high coefficient of beam capture. The cal- culation of the accelerating and focusing channel was carried out with taking into account the repulsing Coulomb forces in the fields created with the actual drift tube configuration. 2. THE INVESTIGATION OF THE BEAM DYNAMICS IN THE APF WITH SCP STRUC- TURE In the present paper the calculation of electrostatic fields was carried out with the method of auxiliary charges [3]. A program for realization of the method was proposed which allowed us to perform the calcula- tion in the dialog regime. The accelerating and focusing period consists of the cells with synchronous phase of – 90o, 75o, 60o, 40o, 0o, -60o. The aperture radius was changed from 0.75 cm to 1.5 cm, the maximum electric field strength was changed from 25 kV/cm to 75 kV/cm. The length of the accelerating structure was 237.7 cm. The simulation of He+ beam dynamics was carried out with LINACV2 code by the authors of the present paper and the results were compared with the results of dy- namics simulation with the PARMELA code. Coinci- dence is 98.0%. The number of large particles is 10 000. In Fig.1 the projection of the input emittance and geo- metric sizes of He+ beam are shown. The SCP method allows us to increase the particle acceleration rate in comparison with the known APF versions where at both bunching sections and sections Fig.1. Projections of the input emittance and geometric sizes of the He+ beam Fig.2. The amplitude of radial and longitudinal oscilla- tions and the energy spread of the ion bunch along the structure of radial focusing, the synchronous phase is constant and large in absolute value. This is aided, from one hand, with the fact that the focusing period contains the gaps with synchronous phases, which are low by the ab- solute value, and from the other– comparatively small ___________________________________________________________ PROBLEMS OF ATOMIC SIENCE AND TECHNOLOGY. 2004. № 2. Series: Nuclear Physics Investigations (43), p.153-154. 153 0 0. 0 0 40.0 80.0 120.0 -180.0 -180.0 180.0 180.0 160.0 200.0 240.0 90.0 -90.0 -90.0 90.0 1.50 -1.50 .75 -.75 w-ws (keV) vs. distance phi-phis vs. distance x (cm) vs. distance 100 50 -100 -1.5 -.8 .80 0 -5 0 1.5 xp vs. x 100 -100 50 -5 0 0 00 0 0 0 1.5 1.5 1.5 .8 -1.5 -1. 5 -1.5 .8 .8 -.8 -.8 -.8 e-es vs. phi-phisy vs. x yp vs. y -500 500 250 -250 -180 18090-9 0 step in changing of ϕs along the focusing period does not require an insertion βλ in length to change the bunch center from positive synchronous phases to nega- tive ones. Such increasing of the acceleration rate is reached, from one hand, with the fact that the SCP focusing peri- od contains the gaps with synchronous phases, which are low in absolute value. From the other hand the com- paratively small step in changing of ϕs along the focus- ing period does not require an insertion βλ in length to change the bunch center from positive synchronous phases to negative ones. The drawback of accelerating structures with APF is the dependence of the focusing force on the phase of particle transit to the accelerating and focusing struc- ture. At the same time, the SCP provides a transverse and longitudinal stability of the particle bunch as the value of cosine of the phase advance of the particle radi- al oscillations with taking into account their phase movement is in the region of stability. In Fig.3 the out- put beam parameters are given with the zero injection current. In the structure calculated by the APF SCP method, the rise of the transverse emittance of He+ of 96% was observed with the zero injection current and input phase length of the beam of 150o. This rise in the emittance is inherent for APF linacs with large capture angles without the preliminary bunch focusing. The rise in the emittance of the central part of the bunch (±20o) was not observed. The dependence of the output particle current on the injected current was studied (Fig.4). In the injected beam a random filling of 4-D transverse phase volume was supposed. Fig.3. Output beam parameters with the zero current Fig.4. Accelerated current as a function of injection current In the Table the main parameters of the accelerating structure are presented. Operating frequency, MHz 47,2 Injection energy, keV/n 30 Output energy, MeV/n 0,975 Number of accelerating cells 32 Total length, cm 237,7 Electric field at the electrodes, kV/cm 25...75 Maximum electric field, kV/cm 170 Aperture radius, cm 0,75...1,5 Normalized transverse acceptance, π mm mrad 1,0 Input emittance 90%, π mm mrad 0,59 Rise in normalized emittance with zero current, % 96 Beam capture coefficient with the injec- tion current of 0 mА, % 60 mА, % 42 23 Current limit, mА 13,7 REFERENCES 1. J.B. Fainberg // Proc. CERN Symposium on High Energy Accelerators and Pion Physics. Geneva, 1956, p.91. 2. M.L. Good // Phys. Rev. 1953, v.92, p.538. 3. V.P. Illin. Numerical methods for solving prob- lems in electrophyscics., Мoscow: Nauka, 1985. ВАРИАНТ ПЕРЕМЕННО-ФАЗОВОЙ ФОКУСИРОВКИ С ШАГОВЫМ ИЗМЕНЕНИЕМ СИНХРОННОЙ ФАЗЫ В.А.Бомко, А.Ф.Кобец, З.Е.Птухина, С.С.Тишкин В работе предлагается расчет ускоряющей структуры с шаговым изменением синхронной фазы. Метод апробирован на расчете ускоряющей структуры и динамики пучка ионов Не+ с A/q=4 в диапазоне энергий 30 кэВ/н...0.975 МэВ/н. ВАРІАНТ ЗМІННО-ФАЗОВОГО ФОКУСУВАННЯ ІЗ ПОКРОКОВИМ ЗМІНЕННЯМ СИНХРОННОЇ ФАЗИ 154 100100 -100-100 -50 -50 50 50 0 0 0 0 0 0 00 -1.5 -1.5-1.5 1.51.5 1.5-1.5 1.5 -.8 -.8 -.8 -.8 .8 .8 .8 .8500 -500 250 -250 180-180 90-90 e-es vs. phi-phisy vs. x yp vs. yxp vs. x 0 0 10 20 30 40 50 60 2 4 6 8 10 1 2 14 I OUT /m I INJ /mA В.О.Бомко, А.П.Кобець, З.О.Птухіна, С.С.Тішкін В роботі запропонований розрахунок прискорюючої структури із покроковим зміненням синхронної фази. Метод апробовано на розрахунку прискорюючої структури і динаміки пучка іонів Не+ з A/q=4 в інтервалі енергій 30 кеВ/н...0.975 МеВ/н. ___________________________________________________________ PROBLEMS OF ATOMIC SIENCE AND TECHNOLOGY. 2004. № 2. Series: Nuclear Physics Investigations (43), p.153-154. 155 V.A.Bomko, A.P.Kobets, Z.E.Ptukhina, S.S.Tishkin REFERENCES В.А.Бомко, А.Ф.Кобец, З.Е.Птухина, С.С.Тишкин В.О.Бомко, А.П.Кобець, З.О.Птухіна, С.С.Тішкін
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1562-6016
language English
last_indexed 2025-12-07T16:20:37Z
publishDate 2004
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
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spelling Bomko, V.A.
Kobets, A.P.
Ptukhina, Z.E.
Tishkin, S.S.
2015-03-31T15:30:40Z
2015-03-31T15:30:40Z
2004
Variant of alternating phase focusing with the stepped change of the synchronous phase / V.A. Bomko, A.P. Kobets, Z.E. Ptukhina, S.S. Tishkin // Вопросы атомной науки и техники. — 2004. — № 2. — С. 153-154. — Бібліогр.: 3 назв. — англ.
1562-6016
PACS: 29.17.+w
https://nasplib.isofts.kiev.ua/handle/123456789/79374
In the paper the calculation of the accelerating structure with the stepped change of the synchronous phase is presented. The method is tested for the calculation of the accelerating structure and He⁺ beam with A/q=4 in the energy range from 30 keV/n to 0.975 MeV/n.
В роботі запропонований розрахунок прискорюючої структури із покроковим зміненням синхронної фази. Метод апробовано на розрахунку прискорюючої структури і динаміки пучка іонів Не⁺ з A/q=4 в інтервалі енергій 30 кеВ/н...0.975 МеВ/н.
В работе предлагается расчет ускоряющей структуры с шаговым изменением синхронной фазы. Метод апробирован на расчете ускоряющей структуры и динамики пучка ионов Не⁺ с A/q=4 в диапазоне энергий 30 кэВ/н...0.975 МэВ/н.
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Динамика пучков
Variant of alternating phase focusing with the stepped change of the synchronous phase
Варіант змінно-фазового фокусування із покроковим зміненням синхронної фази
Вариант переменно-фазовой фокусировки с шаговым изменением синхронной фазы
Article
published earlier
spellingShingle Variant of alternating phase focusing with the stepped change of the synchronous phase
Bomko, V.A.
Kobets, A.P.
Ptukhina, Z.E.
Tishkin, S.S.
Динамика пучков
title Variant of alternating phase focusing with the stepped change of the synchronous phase
title_alt Варіант змінно-фазового фокусування із покроковим зміненням синхронної фази
Вариант переменно-фазовой фокусировки с шаговым изменением синхронной фазы
title_full Variant of alternating phase focusing with the stepped change of the synchronous phase
title_fullStr Variant of alternating phase focusing with the stepped change of the synchronous phase
title_full_unstemmed Variant of alternating phase focusing with the stepped change of the synchronous phase
title_short Variant of alternating phase focusing with the stepped change of the synchronous phase
title_sort variant of alternating phase focusing with the stepped change of the synchronous phase
topic Динамика пучков
topic_facet Динамика пучков
url https://nasplib.isofts.kiev.ua/handle/123456789/79374
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