Abstract

We present direct UV-written waveguides and Bragg gratings operating at 780 nm. By combining two gratings into a Fabry-Perot cavity we have devised and implemented a novel and practical method of measuring the group delay of Bragg gratings.

Highlights

  • Bragg grating and Bragg cavity theory: group delay and cavity lengthThe behaviour of light within Bragg gratings is usually described by means of coupled mode theory (see [6] for a comprehensive review)

  • We present direct UV-written waveguides and Bragg gratings operating at 780 nm

  • We focus our attention on Fabry-Perot etalons consisting of two nominally identical Bragg gratings

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Summary

Bragg grating and Bragg cavity theory: group delay and cavity length

The behaviour of light within Bragg gratings is usually described by means of coupled mode theory (see [6] for a comprehensive review). Analytical solutions to the coupled mode equations exist in the case of uniform, sinusoidal gratings, while for more complex structures the equations can be integrated numerically, requiring only the knowledge of the envelope of the index profile along the grating. In this way, it is possible to determine the amplitude and phase of the field everywhere, for a single grating, and for any combination of gratings. It should be pointed out that the group delay but virtually all the properties of the grating and waveguide alike can be experimentally retrieved from a single cavity spectrum like the one presented above, as there is a direct correspondence between the finesse and transmission on the one hand and reflectivity and losses on the other

Apparatus
Measurement method
Group delay as a function of frequency
Group delay as a function of mirror length
Findings
Summary and conclusion
Full Text
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