Abstract
We present an alternative method for the complete characterization of
linear passive optical devices using the measurement of the spectral power
density of an intermediate interferometric transfer function. Important advantages
of this method compared to other published methods are the simplicity of the
interferometric setup and the fact that iterative algorithms are not required.
This method makes use of spectral interferometry to implement an intermediate
transfer function which is mathematically related to the optical device transfer
function and whose phase response is proven to be minimum. This last fact
permits the unique retrieval of the phase response from the magnitude response
using the Hilbert transform (in particular, minimum-phase reconstruction algorithms).
Therefore, the whole intermediate transfer function (amplitude and phase responses)
can be obtained using only power measurements. Once the intermediate interferometric
function has been fully established, the complete optical device transfer
function is reconstructed by inverting the mathematical relation between them.
We have applied the proposed method to the characterization of fiber Bragg
gratings, obtaining results that are in close agreement with the original
transfer functions.
© 2012 IEEE
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