Density of states of slab photonic crystals and the laser oscillation in photonic crystals

Author

Ohtaka, Kazuo

Author_Institution

Center for Frontier Sci., Chiba Univ., Japan

Volume

17

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

2161

Lastpage

2169

Abstract

A treatment of the density of states of electromagnetic normal modes of slab photonic crystals is given to illustrate the thickness dependence of the Q values of the slab modes of arrayed dielectric spheres. The onset of the laser oscillation is then examined for a slab photonic crystal of arrayed cylinders by simulating active cylinders as having a complex dielectric constant of negative imaginary part γ. It is shown that the divergence of the transmittivity of light occurs as an indication of the onset of lasing, when the slab is thick enough to give high Q values to the slab modes. The threshold value of γ is discussed in comparison with a one dimensional (1-D) multilayer stack of thin film,

Keywords

electronic density of states; permittivity; photonic band gap; solid lasers; arrayed dielectric spheres; complex dielectric constant; density of states; electromagnetic normal modes; laser oscillation; negative imaginary part γ; one dimensional multilayer stack; photonic crystals; simulating active cylinders; slab modes; slab photonic crystals; thickness dependence; threshold value; Bandwidth; Dielectric constant; Frequency estimation; Interference; Laser modes; Nonhomogeneous media; Optical arrays; Photonic crystals; Slabs; Thumb;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.803007

Filename

803007