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Understanding profile-induced group-delay ripple in Bragg gratings
1Australian Photonics Cooperative Research Centre, Optical Fibre Technology Centre, University of Sydney, 206 National Innovation Centre, Australian Technology Park, Eveleigh, NSW 1430, Australia.
Applied Optics
|March 18, 2008
Summary
Chirped Bragg gratings exhibit group-delay ripple due to their apodization profile. This study explains ripple origins and provides quantitative expressions for its components.
Area of Science:
- Optics and Photonics
- Wave Phenomena
- Materials Science
Background:
- Chirped Bragg gratings (CBGs) are crucial optical components.
- Understanding group-delay ripple is essential for precise signal processing.
- Apodization profiles significantly influence grating performance.
Purpose of the Study:
- To analyze the relationship between group-delay ripple and apodization in CBGs.
- To provide simple physical explanations for deviations from ideal linear group delay.
- To derive quantitative expressions for ripple characteristics.
Main Methods:
- Analysis of reflection at discontinuities and band gaps.
- Consideration of optical path lengths within grating cavities.
- Derivation of mathematical expressions for ripple components.
Main Results:
- Identified the direct link between apodization profile and group-delay ripple.
- Provided physical insights into ripple formation using fundamental optical concepts.
- Obtained quantitative expressions for the amplitude, phase, and period of ripple components.
Conclusions:
- The apodization profile is the primary determinant of group-delay ripple in CBGs.
- Fundamental optical principles adequately explain ripple behavior.
- The derived expressions enable precise prediction and control of ripple.
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