Radiation conditions for the time-dependent Schrodinger equation: Application to strong-field photoionization

被引:28
作者
Boucke, K [1 ]
Schmitz, H [1 ]
Kull, HJ [1 ]
机构
[1] RHEIN WESTFAL TH AACHEN, INST THEORET PHYS A, D-52056 AACHEN, GERMANY
来源
PHYSICAL REVIEW A | 1997年 / 56卷 / 01期
关键词
D O I
10.1103/PhysRevA.56.763
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Radiation conditions are introduced as an exact method to truncate numerical solutions of the time-dependent Schrodinger-equation at the boundaries of the numerical grid. A rigorous derivation of radiation conditions is given by the Green-function method for one- and three-dimensional regions. An accurate finite-difference representation is obtained for a one-dimensional region. The method is applied to calculations of strong-field photoionization. The calculation of ionization probabilities and energy spectra by the truncated solution is illustrated.
引用
收藏
页码:763 / 771
页数:9
相关论文
共 31 条
[1]  
Abramowitz M., 1965, HDB MATH FUNCTIONS, P437
[2]   SUPPRESSION OF IONIZATION IN STRONG LASER FIELDS [J].
BURNETT, K ;
KNIGHT, PL ;
PIRAUX, BRM ;
REED, VC .
PHYSICAL REVIEW LETTERS, 1991, 66 (03) :301-304
[3]   A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].
Crank, J ;
Nicolson, P .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226
[4]   ABOVE-THRESHOLD IONIZATION [J].
EBERLY, JH ;
JAVANAINEN, J ;
RZAZEWSKI, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1991, 204 (05) :331-383
[5]   PREDICTION OF A NEW SEQUENCE OF PEAKS IN ABOVE-THRESHOLD DETACHMENT SPECTRUM IN AN INTENSE LASER FIELD [J].
FAISAL, FHM ;
SCANZANO, P .
PHYSICAL REVIEW LETTERS, 1992, 68 (19) :2909-2912
[6]   MODELING LASER IONIZATION [J].
GOLDBERG, A ;
SHORE, BW .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1978, 11 (19) :3339-3347
[7]   COMPUTER-GENERATED MOTION PICTURES OF 1-DIMENSIONAL QUANTUM-MECHANICAL TRANSMISSION AND REFLECTION PHENOMENA [J].
GOLDBERG, A ;
SCHEY, HM ;
SCHWARTZ, JL .
AMERICAN JOURNAL OF PHYSICS, 1967, 35 (03) :177-&
[8]   NUMERICAL-SIMULATION OF MULTIPHOTON PHOTODETACHMENT OF H- IONS [J].
GREENWOOD, WG ;
EBERLY, JH .
PHYSICAL REVIEW A, 1991, 43 (01) :525-534
[9]   PHOTOELECTRON-SPECTRA FOR A 2-ELECTRON SYSTEM IN A STRONG LASER FIELD [J].
GROBE, R ;
EBERLY, JH .
PHYSICAL REVIEW LETTERS, 1992, 68 (19) :2905-2908
[10]   AN ASYMPTOTIC WAVE-FUNCTION SPLITTING PROCEDURE FOR PROPAGATING SPATIALLY EXTENDED WAVE-FUNCTIONS - APPLICATION TO INTENSE FIELD PHOTODISSSOCIATION OF H-2+ [J].
HEATHER, RW .
COMPUTER PHYSICS COMMUNICATIONS, 1991, 63 (1-3) :446-459