Title :
Effect of layer thickness variations on propagation delay and penetration depth of a quarter-wave distributed Bragg reflector
Author :
Law, K.-K. ; Babic, D.I.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
Abstract :
The authors derive an analytical formula for the change of propagation delay and phase penetration depth of a quarter-wave distributed Bragg reflector (DBR) owing to thickness and/or composition variations. The analytical expression provides a very good estimate of change in penetration depth with arbitrary thickness perturbation in one or more layers of the DBR. For a Fabry-Perot cavity clad on both sides by two quarter-wave DBRs, the shift in the Fabry-Perot mode due to thickness variations in one or both of the DBRs can be simply obtained by calculation using the change in penetration depths of the corresponding DBR or both DBRs.<>
Keywords :
claddings; integrated optics; mirrors; optical resonators; reflectivity; AlGaAs-AlAs; Fabry-Perot cavity; Fabry-Perot mode; GaAs; arbitrary thickness perturbation; clad; composition variations; layer thickness variations; penetration depth; phase penetration depth; propagation delay; quarter-wave DBRs; quarter-wave distributed Bragg reflector; Distributed Bragg reflectors; Fabry-Perot; Frequency; Mirrors; Optical computing; Optical devices; Optical reflection; Propagation delay; Reflectivity; Vertical cavity surface emitting lasers;
Journal_Title :
Photonics Technology Letters, IEEE