Semicomputational calculation of Bragg shift in stratified materials

Area of Science:

• Photonics and Optics
• Materials Science
• Solid Mechanics

Background:

• Fiber Bragg gratings (FBGs) are 1D photonic crystals with periodic structures used in sensing.
• Understanding FBG response to external stimuli is a complex multiphysics problem.
• Existing models lack analytical solutions for arbitrary FBG sensor applications.

Purpose of the Study:

• To develop a comprehensive solid mechanics model for FBG thermal and elastic states.
• To compute optical mode behavior under temperature and stress.
• To analytically calculate Bragg shifts for improved FBG sensor applications.

Main Methods:

• Developed a solid mechanics model for stratified materials with embedded optical domains (FBGs).
• Computed optical modes and their responses to temperature and stress.
• Utilized computed surface stress and temperature to analytically determine Bragg shift.

Main Results:

• The model accurately captures thermal and elastic states of FBG materials.
• Computed optical modes show predictable behavior under external stimuli.
• Analytical Bragg shift calculations align well with experimental measurements.

Conclusions:

• The developed model provides an analytical solution for FBG sensor responses.
• This approach is applicable to diverse materials, including soft and nonlinear ones.
• The findings advance FBG applications in classical and quantum sensing and metrology.