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To simulate the radiation transport of the spherical hohlraum with octahedral six laser entrance holes and to study the capsule radiation uniformity, a Monte Carlo method is introduced. For simple analytical models, with different hohlraumto-capsule radius ratios, the capsule radiation uniformity variation rules are studied, and the Monte Carlo calculation results can match the analytical results obtained by the “view factor” method. For more complicated models, such as the hohlraum with shields, it's difficult for an analytical method to be calculated, but is straightforward in the Monte Carlo method. Two models with different radius of the shield have been simulated. Simulated result indicates that the shield greatly influences the distribution of X-rays on the capsule surface, and an appropriate shield can increase the utilized efficiency of X-rays and improve the capsule radiation uniformity remarkably, otherwise, the uniformity might be destroyed badly. So the location and the radius of the shields must be designed carefully in a spherical hohlraum. This research supports the Monte Carlo method that is applicable in the radiation transport simulation of a complicated spherical holhraum.
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Keywords:
- Monte Carlo method /
- spherical holhraum /
- radiation transport /
- capsule radiation uniformity
[1] Zhang J, Chang T Q 2004 Fundaments of the Target Physics for Laser Fusion (Beijing: National Defense Industry Press) (in Chinese) [张均, 常铁强 2004 激光核聚变靶物理基础(北京: 国防工业出版社)]
[2] Lindle J D 1995 Phys. Plasmas 2 3933
[3] Haan S W, Lindl J D, Callanhan D A, Clark D S, Salmonson J D, Hammel B A, Atherton L J, Cook R C, Edwards M J, Glenzer S, Hamza A V, Hatchett S P, Herrmann M C, Hinkel D E, Ho D D, Huang H, Jones O S, Kline J, Kyrala G, Landen O L, MacGowan B J, Marinak M M, Meyerhofer D D, Milovich J L, Moreno K A, Moses E I, Munro D H, Nikroo A, Olson R E, Peterson K, Pollaine S M, Ralph J E, Robey H F, Spears B K, Springer P T, Suter L J, Thomas C A, Town R P, Vesey R, Weber S V, Wilkens H L, Wilson D C 2011 Phys. Plasmas 18 051001
[4] Lindl J D 1998 Inertial Confinement Fusion (New York: Springer-Verlag)
[5] Caruso A, Strangio C 1991 Jpn. J. Appl. Phys. Part 1 30 1095
[6] Amendt P, Cerjan C, Hamza A, Hinkel D E, Milovich J L, Robey H F 2007 Phys. Plasmas 14 056312
[7] Lan K, Gu P J, Ren G L, Wu C, Huo W Y, Lai D X, He X T 2010 Laser Part. Beams 28 421
[8] Murakami M 1992 Nucl. Fusion 32 1715
[9] Phillion D W, Pollaine S M 1994 Phys. Plasmas 1 2963
[10] Kline J L, Callahan D A, Glenzer S H, Meezan N B, Moody J D, Hinkel D E, Jones O S, MacKinnon A J, Bennedetti R, Berger R L, Bradley D, Dewald E L, Bass L, Bennett C, Bowers M, Brunton B, Bude J, Burkhart S, Condor A, Nicola J M D, Nicola P D, Dixit S N, Doeppner T, Dzenitis E G, Erber G, Folta J, Grim G, Lenn S, Hamza A, Hann S W, Heebner J, Henesian M, Hermann M, Hicks D G, Hsing W W, Izumi N, Jancaitis K, Jones O S, Kalantar D, Khan S F, Kirkwook R, Kyrala G A, LaFortune K, Landen O L, Lain L, Larson D, Pape S L, Ma T, MacPhee A G, Michel P A, Miller P, Montincelli M, Moore A S, Nikroo A, Nostrand M, Olson R E, Pak A, Park H A, Schneider M B, Shaw M, Smalyuk V A, Strozzi D J, Suratwala T, Suter L J, Tommasini R, Town R P J, Wonterghem B V, Wegner P, Widmann K, Widmayer C, Wilkens H, Williams E A, Edwards M J, Remington B A, MacGowan B J, Kikenny J D, Lindl J D, Atherton L J, Batha S H, Moses E 2013 Phys. Plasmas 20 056314
[11] Lan K, Liu J, Lai D X, Zheng W D, He X T 2014 Phys. Plasmas 21 010704
[12] Lan K, He X T, Liu J, Zheng W D, Lai D X 2014 Phys. Plasmas 21 052704
[13] Callahan D A, Amendt P, Dewald E L, Haan S W, Hinkel D E, Izurni N, Jones O S, Landen O L, Lindl J D, Pollaine S M, Suter L J, Tabak M, Turner R E 2006 Phys. Plasmas 13 056307
[14] Pei L C, Zhang X Z 1980 Monte Carlo Methods and Application in Particle Transportation (Beijing: Science Press) (in Chinese) [裴鹿成, 张孝泽 1980 蒙特卡罗方法及其在粒子输运问题中的应用 (北京:科学出版社)]
[15] Du S H, Zhang S F, Feng T G, Wang Y Z 1989 Computer Simulation of Transport Problems (Changsha: Hunan Science and Technology Press) (in Chinese) [杜书华, 张树发, 冯庭桂, 王元璋 1989 输运问题的计算机模拟(湖南科技出版社)]
[16] Li S, Li G, Tian D F, Deng L 2013 Acta Phys. Sin. 62 249501 (in Chinese) [李树, 李刚, 田东风, 邓力 2013 62 249501]
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[1] Zhang J, Chang T Q 2004 Fundaments of the Target Physics for Laser Fusion (Beijing: National Defense Industry Press) (in Chinese) [张均, 常铁强 2004 激光核聚变靶物理基础(北京: 国防工业出版社)]
[2] Lindle J D 1995 Phys. Plasmas 2 3933
[3] Haan S W, Lindl J D, Callanhan D A, Clark D S, Salmonson J D, Hammel B A, Atherton L J, Cook R C, Edwards M J, Glenzer S, Hamza A V, Hatchett S P, Herrmann M C, Hinkel D E, Ho D D, Huang H, Jones O S, Kline J, Kyrala G, Landen O L, MacGowan B J, Marinak M M, Meyerhofer D D, Milovich J L, Moreno K A, Moses E I, Munro D H, Nikroo A, Olson R E, Peterson K, Pollaine S M, Ralph J E, Robey H F, Spears B K, Springer P T, Suter L J, Thomas C A, Town R P, Vesey R, Weber S V, Wilkens H L, Wilson D C 2011 Phys. Plasmas 18 051001
[4] Lindl J D 1998 Inertial Confinement Fusion (New York: Springer-Verlag)
[5] Caruso A, Strangio C 1991 Jpn. J. Appl. Phys. Part 1 30 1095
[6] Amendt P, Cerjan C, Hamza A, Hinkel D E, Milovich J L, Robey H F 2007 Phys. Plasmas 14 056312
[7] Lan K, Gu P J, Ren G L, Wu C, Huo W Y, Lai D X, He X T 2010 Laser Part. Beams 28 421
[8] Murakami M 1992 Nucl. Fusion 32 1715
[9] Phillion D W, Pollaine S M 1994 Phys. Plasmas 1 2963
[10] Kline J L, Callahan D A, Glenzer S H, Meezan N B, Moody J D, Hinkel D E, Jones O S, MacKinnon A J, Bennedetti R, Berger R L, Bradley D, Dewald E L, Bass L, Bennett C, Bowers M, Brunton B, Bude J, Burkhart S, Condor A, Nicola J M D, Nicola P D, Dixit S N, Doeppner T, Dzenitis E G, Erber G, Folta J, Grim G, Lenn S, Hamza A, Hann S W, Heebner J, Henesian M, Hermann M, Hicks D G, Hsing W W, Izumi N, Jancaitis K, Jones O S, Kalantar D, Khan S F, Kirkwook R, Kyrala G A, LaFortune K, Landen O L, Lain L, Larson D, Pape S L, Ma T, MacPhee A G, Michel P A, Miller P, Montincelli M, Moore A S, Nikroo A, Nostrand M, Olson R E, Pak A, Park H A, Schneider M B, Shaw M, Smalyuk V A, Strozzi D J, Suratwala T, Suter L J, Tommasini R, Town R P J, Wonterghem B V, Wegner P, Widmann K, Widmayer C, Wilkens H, Williams E A, Edwards M J, Remington B A, MacGowan B J, Kikenny J D, Lindl J D, Atherton L J, Batha S H, Moses E 2013 Phys. Plasmas 20 056314
[11] Lan K, Liu J, Lai D X, Zheng W D, He X T 2014 Phys. Plasmas 21 010704
[12] Lan K, He X T, Liu J, Zheng W D, Lai D X 2014 Phys. Plasmas 21 052704
[13] Callahan D A, Amendt P, Dewald E L, Haan S W, Hinkel D E, Izurni N, Jones O S, Landen O L, Lindl J D, Pollaine S M, Suter L J, Tabak M, Turner R E 2006 Phys. Plasmas 13 056307
[14] Pei L C, Zhang X Z 1980 Monte Carlo Methods and Application in Particle Transportation (Beijing: Science Press) (in Chinese) [裴鹿成, 张孝泽 1980 蒙特卡罗方法及其在粒子输运问题中的应用 (北京:科学出版社)]
[15] Du S H, Zhang S F, Feng T G, Wang Y Z 1989 Computer Simulation of Transport Problems (Changsha: Hunan Science and Technology Press) (in Chinese) [杜书华, 张树发, 冯庭桂, 王元璋 1989 输运问题的计算机模拟(湖南科技出版社)]
[16] Li S, Li G, Tian D F, Deng L 2013 Acta Phys. Sin. 62 249501 (in Chinese) [李树, 李刚, 田东风, 邓力 2013 62 249501]
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