Optical response of three-dimensional photonic lattices: Solutions of inhomogeneous Maxwell's equations and their applications

被引:58
作者
Sakoda, K [1 ]
Ohtaka, K [1 ]
机构
[1] CHIBA UNIV, FAC ENGN, DEPT APPL PHYS, INAGE KU, CHIBA 263, JAPAN
来源
PHYSICAL REVIEW B | 1996年 / 54卷 / 08期
关键词
D O I
10.1103/PhysRevB.54.5732
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We have formulated a Green's function method for the radiation field in an arbitrary three-dimensional photonic lattice to deal with the source term of an extrinsic polarization field P-ex(r,t). It is shown that the induced field is expressed as a superposition of P-ex(r,t) itself and the photonic-band eigenmodes of a nonzero frequency. The longitudinal eigenmodes of zero frequency, which are important for the closure relation of photonic bands, is shown to contribute nothing to the propagating electric field. We have applied this method to the treatments of sum frequency generation, dipole radiation, and free induction decay.
引用
收藏
页码:5732 / 5741
页数:10
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