Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics

被引:307
作者
Dung, HT [1 ]
Knoll, L [1 ]
Welsch, DG [1 ]
机构
[1] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany
关键词
D O I
10.1103/PhysRevA.57.3931
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive, and absorbing dielectric medium is developed. The classical Maxwell equations with spatially varying and Kramers-Kronig consistent permittivity are regarded as operator-valued field equations, introducing additional current-and charge-density operator fields in order to take into account the noise associated with the dissipation in the medium, it is shown that the equal-time commutation relations between the fundamental electromagnetic fields (E) over cap and (B) over cap and the potentials (A) over cap and <(phi)over cap> in the Coulomb gauge can be expressed in terms of the Green tensor of the classical problem. From the Green tensors for bulk material and an inhomogeneous medium consisting of two bulk dielectrics with a common planar interface it is explicitly proven that the well-known equal-time commutation relations of QED are preserved.
引用
收藏
页码:3931 / 3942
页数:12
相关论文
共 79 条
[41]   PHENOMENOLOGICAL QUANTUM-ELECTRODYNAMICS [J].
JAUCH, JM ;
WATSON, KM .
PHYSICAL REVIEW, 1948, 74 (08) :950-957
[42]   QUANTUM OPTICS OF TRAVELING-WAVE ATTENUATORS AND AMPLIFIERS [J].
JEFFERS, JR ;
IMOTO, N ;
LOUDON, R .
PHYSICAL REVIEW A, 1993, 47 (04) :3346-3359
[44]   Microscopic theory of quantization of radiation in molecular dielectrics: Normal-mode representation of operators for local and averaged (macroscopic) fields [J].
Juzeliunas, G .
PHYSICAL REVIEW A, 1996, 53 (05) :3543-3558
[45]   QUANTIZATION AND PHASE-SPACE METHODS FOR SLOWLY VARYING OPTICAL-FIELDS IN A DISPERSIVE NONLINEAR MEDIUM [J].
KENNEDY, TAB ;
WRIGHT, EM .
PHYSICAL REVIEW A, 1988, 38 (01) :212-221
[46]   VACUUM FIELD FLUCTUATIONS AND SPONTANEOUS EMISSION IN THE VICINITY OF A DIELECTRIC SURFACE [J].
KHOSRAVI, H ;
LOUDON, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 433 (1888) :337-352
[47]   VACUUM FIELD FLUCTUATIONS AND SPONTANEOUS EMISSION IN A DIELECTRIC SLAB [J].
KHOSRAVI, H ;
LOUDON, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 436 (1897) :373-389
[48]   RESONATORS IN QUANTUM OPTICS - A 1ST-PRINCIPLES APPROACH [J].
KNOLL, L ;
VOGEL, W ;
WELSCH, DG .
PHYSICAL REVIEW A, 1991, 43 (01) :543-553
[49]   ACTION OF PASSIVE, LOSSLESS OPTICAL-SYSTEMS IN QUANTUM OPTICS [J].
KNOLL, L ;
VOGEL, W ;
WELSCH, DG .
PHYSICAL REVIEW A, 1987, 36 (08) :3803-3818
[50]   QED OF RESONATORS IN QUANTUM OPTICS [J].
KNOLL, L ;
WELSCH, DG .
PROGRESS IN QUANTUM ELECTRONICS, 1992, 16 (03) :135-182