Semicomputational calculation of Bragg shift in stratified materials

Benjamin Frey, Patrick Snyder, Klaus Ziock, Ali Passian

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The fiber Bragg grating (FBG) may be viewed as a one dimensional photonic band-gap crystal by virtue of the periodic spatial perturbation imposed on the fiber core dielectric material. Similar to media supporting Bloch waves, the engraved weak index modulation, presenting a periodic "potential"to an incoming guided mode photon of the fiber, yields useful spectral properties that have been the basis for sensing applications and emerging quantum squeezing and solitons. The response of an FBG sensor to arbitrary external stimuli represents a multiphysics problem without a known analytical solution despite the growing use of FBGs in classical and quantum sensing and metrology. Here, we study this problem by first presenting a solid mechanics model for the thermal and elastic states of a stratified material. The model considers an embedded optical material domain that represents the Bragg grating, here in the form of an FBG. Using the output of this model, we then compute the optical modes and their temperature- and stress-induced behavior. The developed model is applicable to media of arbitrary shape and composition, including soft matter and materials with nonlinear elasticity and geometric nonlinearity. Finally, we employ the computed surface stress and temperature distributions along the grating to analytically calculate the Bragg shift, which is found to be in reasonable agreement with our experimental measurements.

Original languageEnglish
Article number055307
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume104
Issue number5
DOIs
StatePublished - Nov 2021

Funding

We would like to thank P. Dragic for reading the manuscript. B.F. and P.S. acknowledge support from the National Science Foundation (NSF) and Department of Defense (DoD) under Grants No. PHY-1659598 and No. PHY-1950744. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the NSF or DoD. K.Z. and A.P. acknowledge support from the U.S. Department of Energy, National Nuclear Security Administration, Office of Defense Nuclear Nonproliferation Research and Development (DNN R&D). ORNL is managed by UT-Battelle, LLC, under Contract No. DE-AC05-00OR22725 for the U.S. Department of Energy.

Fingerprint

Dive into the research topics of 'Semicomputational calculation of Bragg shift in stratified materials'. Together they form a unique fingerprint.

Cite this