EXPLICIT NONDIVERGENT FORMULAS FOR ATOMIC AND MOLECULAR DYNAMIC HYPERPOLARIZABILITIES

被引：138

作者：

BISHOP, DM

机构：

[1] Department of Chemistry, University of Ottawa, Ottawa

来源：

JOURNAL OF CHEMICAL PHYSICS | 1994年 / 100卷 / 09期

关键词：

D O I：

10.1063/1.467062

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Two methods are used to develop nondivergent, compact, sum-over-states formulas for dynamic hyperpolarizabilities up to fifth order. Expressions for both atoms and molecules are given; those at fourth and fifth order for the first time. The fifth-order formula is related to such nonlinear optical phenomena as stimulated hyper-Raman scattering and the self-induced intensity-dependent refractive index. Questions of time-reversal invariance are also discussed. Importantly, the derivations explicitly take into account secular divergences in a simple and clear way.

引用

页码：6535 / 6542

页数：8

共 14 条

[1] CALCULATION OF THE POLARIZABILITY AND HYPERPOLARIZABILITY TENSORS, AT IMAGINARY FREQUENCY, FOR H, HE, AND H2 AND THE DISPERSION POLARIZABILITY COEFFICIENTS FOR INTERACTIONS BETWEEN THEM [J].

BISHOP, DM ;

PIPIN, J .

JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (05) :3375-3381

[2] Aspects of non-linear-optical calculations [J].

Bishop, DM .

ADVANCES IN QUANTUM CHEMISTRY, VOL 25, 1994, 25 :1-45

[3]

Bogaard M. P., 1975, INT REV SCI PHYS C 2, V2, P149

[4]

Boyd R. W., 2003, NONLINEAR OPTICS

[5] MANY-BODY PROBLEM FOR STRONGLY INTERACTING PARTICLES .2. LINKED CLUSTER EXPANSION [J].

BRUECKNER, KA .

PHYSICAL REVIEW, 1955, 100 (01) :36-45

[6]

Butcher P. N., 1990, ELEMENTS NONLINEAR O, DOI DOI 10.1017/CBO9781139167994

[7]

BUTCHER PN, 1965, B OHIO STATE U, V200

[8] THE POLARIZABILITY OF MOLECULES IN STRONG ELECTRIC FIELDS [J].

COULSON, CA ;

MACCOLL, A ;

SUTTON, LE .

TRANSACTIONS OF THE FARADAY SOCIETY, 1952, 48 (02) :106-113

[9]

Hanna D. C., 1979, NONLINEAR OPTICS FRE

[10]

HIRSCHFELDER JO, 1964, ADV QUANTUM CHEM, V1, P255

← 1 2 →