EMISSION POWER OF AN ELECTRIC-DIPOLE IN THE PHOTONIC BAND-STRUCTURE OF THE FCC LATTICE

It has been suggested that spontaneous emission can be inhibited if at omic transition frequencies fall inside photonic band gaps, that is, t hree-dimensional frequency stop bands of electromagnetic waves generat ed by three-dimensional periodic dielectric materials (photonic crysta ls). There has been a growing interest in how atomic emission spectra are changed quantitatively inside the photonic crystals. We develop a classical theory for the calculation of the emission power from the el ectric dipole located in three-dimensional photonic crystals by incorp orating the plane-wave method, dyadic Green's function, Poynting theor em, and tetrahedron k-space integration. With the method we perform nu merical computations for the emission power of an electric dipole loca ted in the photonic crystals of the fcc lattice structure with spheric al atoms. The results show the total inhibition of emission in the pho tonic band gap as well as strong enhancement around the band edges. In addition, the data indicate the strong dependencies of the emission s pectrum on the dipole position and the dipole moment in the photonic c rystal.