Analytic expressions for the reflection delay, penetration depth, and absorptance of quarter-wave dielectric mirrors

Author

Babic, Dubravko I. ; Corzine, Scott W.

Author_Institution

Dept. of Electr. & Comput. Sci., California Univ., Santa Barbara, CA, USA

Volume

28

Issue

2

fYear

1992

fDate

2/1/1992 12:00:00 AM

Firstpage

514

Lastpage

524

Abstract

The authors analyze the operation of high-reflectivity quarter-wave (QW) dielectric mirrors at the band-stop center (Bragg) frequency, relevant for the design of small-cavity optoelectronic structures. The energy penetration depth concept is used to determine a first-order linear approximation for the reduction of the mirror peak reflectivity of the QE mirror as a function of the mirror material parameters and the number of layers. The expression can be applied in the limit of small loss. The mathematical analysis and expressions for the absorptance and the peak reflectivity of a dielectric mirror with weak material absorption are presented. The use of the results is illustrated for a typical vertical cavity surface-emitting laser structure

Keywords

laser accessories; light absorption; mirrors; reflectivity; Bragg frequency; absorptance; band-stop center; diode lasers; energy penetration depth; first-order linear approximation; high-reflectivity; laser mirrors; mirror layer number; mirror material parameters; mirror peak reflectivity; peak reflectivity; quarter-wave dielectric mirrors; reflection delay; small loss limit; small-cavity optoelectronic structures; vertical cavity surface-emitting laser structure; weak material absorption; Delay; Dielectric materials; Frequency; Linear approximation; Mathematical analysis; Mirrors; Optical materials; Optical reflection; Reflectivity; Vertical cavity surface emitting lasers;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.123281

Filename

123281