Radiation transport between two concentric spheres

被引:13
作者
Pollaine, SM [1 ]
机构
[1] Univ Calif Lawrence Livermore Natl Lab, Livermore, CA 94550 USA
关键词
D O I
10.1088/0029-5515/40/12/309
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The eigenfunctions for the transport of radiation between concentric spheres are proved to be the spherical harmonics and Legendre polynomials. The corresponding eigenvalues are then derived for the cases of both an outer emitting sphere and an inner absorbing sphere, and an inner emitting sphere and an outer absorbing sphere. Simple approximations to these eigenvalues are found and their various properties are derived. These results are then applied to the problem of ICF capsules inside hohlraums.
引用
收藏
页码:2061 / 2069
页数:9
相关论文
共 12 条
[1]   THE QUALITY OF THE ILLUMINATION FOR A SPHERICAL CAPSULE ENCLOSED IN A RADIATING CAVITY [J].
CARUSO, A ;
STRANGIO, C .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1991, 30 (05) :1095-1101
[2]   ILLUMINATION OF A SPHERICAL CAPSULE WITHIN A RADIATING CAVITY [J].
CARUSO, A ;
STRANGIO, C .
NUCLEAR FUSION, 1991, 31 (07) :1399-1405
[3]  
HAAN SW, 1983, 8364 COPD L LIV NAT
[4]   DEVELOPMENT OF THE INDIRECT-DRIVE APPROACH TO INERTIAL CONFINEMENT FUSION AND THE TARGET PHYSICS BASIS FOR IGNITION AND GAIN [J].
LINDL, J .
PHYSICS OF PLASMAS, 1995, 2 (11) :3933-4024
[5]  
LINDL JD, 1993, B AM PHYS SOC, V38, P3934
[6]   RADIATION SYMMETRIZATION IN INDIRECTLY DRIVEN ICF TARGETS [J].
MURAKAMI, M ;
MEYERTERVEHN, J .
NUCLEAR FUSION, 1991, 31 (07) :1333-1341
[7]   ANALYSIS OF RADIATION SYMMETRIZATION IN HOHLRAUM TARGETS [J].
MURAKAMI, M .
NUCLEAR FUSION, 1992, 32 (10) :1715-1724
[8]   SMOOTHING OF NONUNIFORMITY BY X-RAY-RADIATION IN CANNONBALL TARGET [J].
MURAKAMI, M ;
NISHIHARA, K .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1986, 25 (02) :242-247
[9]   DYNAMICAL COMPENSATION OF IRRADIATION NONUNIFORMITIES IN A SPHERICAL HOHLRAUM ILLUMINATED WITH TETRAHEDRAL SYMMETRY BY LASER-BEAMS [J].
PHILLION, DW ;
POLLAINE, SM .
PHYSICS OF PLASMAS, 1994, 1 (09) :2963-2975
[10]  
ROSE ME, 1957, ELEMENTARY THEORY AN