Method of characterizing fiber bragg gratings using iterative processing
First Claim
1. A method of determining a complex reflection impulse response of a fiber Bragg grating, the method comprising:
- (a) providing a measured amplitude of a complex reflection spectrum of the fiber Bragg grating;
(b) providing an estimated phase term of the complex reflection spectrum;
(c) multiplying the measured amplitude and the estimated phase term to generate an estimated complex reflection spectrum;
(d) calculating an inverse Fourier transform of the estimated complex reflection spectrum, wherein the inverse Fourier transform is a function of time; and
(e) calculating an estimated complex reflection impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex reflection spectrum.
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Abstract
A method determines a complex reflection impulse response of a fiber Bragg grating. The method includes providing a measured amplitude of a complex reflection spectrum of the fiber Bragg grating. The method further includes providing an estimated phase term of the complex reflection spectrum. The method further includes multiplying the measured amplitude and the estimated phase term to generate an estimated complex reflection spectrum. The method further includes calculating an inverse Fourier transform of the estimated complex reflection spectrum, wherein the inverse Fourier transform is a function of time. The method further includes calculating an estimated complex reflection impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex reflection spectrum.
8 Citations
53 Claims
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1. A method of determining a complex reflection impulse response of a fiber Bragg grating, the method comprising:
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(a) providing a measured amplitude of a complex reflection spectrum of the fiber Bragg grating;
(b) providing an estimated phase term of the complex reflection spectrum;
(c) multiplying the measured amplitude and the estimated phase term to generate an estimated complex reflection spectrum;
(d) calculating an inverse Fourier transform of the estimated complex reflection spectrum, wherein the inverse Fourier transform is a function of time; and
(e) calculating an estimated complex reflection impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex reflection spectrum. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. A computer system comprising:
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means for estimating an estimated phase term of a complex reflection spectrum of a fiber Bragg grating;
means for multiplying a measured amplitude of the complex reflection spectrum of the fiber Bragg grating and the estimated phase term to generate an estimated complex reflection spectrum;
means for calculating an inverse Fourier transform of the estimated complex reflection spectrum, wherein the inverse Fourier transform is a function of time; and
means for calculating an estimated complex reflection impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex reflection spectrum.
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19. A method of determining a complex transmission impulse response of a fiber Bragg grating, the method comprising:
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(a) providing a measured amplitude of a complex transmission spectrum of the fiber Bragg grating;
(b) providing an estimated phase term of the complex transmission spectrum;
(c) multiplying the measured amplitude and the estimated phase term to generate an estimated complex transmission spectrum;
(d) calculating an inverse Fourier transform of the estimated complex transmission spectrum, wherein the inverse Fourier transform is a function of time; and
(e) calculating an estimated complex transmission impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex transmission spectrum.
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20-32. -32. (canceled)
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33. A method of characterizing a fiber Bragg grating, the method comprising:
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(a) providing a measured amplitude of a Fourier transform of a complex electric field envelope of an impulse response of the fiber Bragg grating;
(b) providing an estimated phase term of the Fourier transform of the complex electric field envelope;
(c) multiplying the measured amplitude and the estimated phase term to generate an estimated Fourier transform of the complex electric field envelope;
(d) calculating an inverse Fourier transform of the estimated Fourier transform of the complex electric field envelope, wherein the inverse Fourier transform is a function of time; and
(e) calculating an estimated electric field envelope of the impulse response by applying at least one constraint to the inverse Fourier transform of the estimated Fourier transform of the complex electric field envelope.
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34-45. -45. (canceled)
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46. An apparatus for characterizing at least one fiber Bragg grating, the apparatus comprising:
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a laser pulse source, the laser pulse source generating at least one input laser pulse;
an optical spectrum analyzer;
a first optical path optically coupled to the laser pulse source, the first optical path comprising a pulse stretcher and an attenuator, wherein a first portion of the input laser pulse propagates from the laser pulse source and is stretched by the pulse stretcher and is attenuated by the attenuator;
a second optical path optically coupled to the first optical path and comprising a mirror, wherein a first portion of the stretched and attenuated laser pulse from the first optical path is reflected from the mirror;
a third optical path optically coupled to the first optical path and comprising a first fiber Bragg grating, wherein a second portion of the stretched and attenuated laser pulse from the first optical path is reflected from the first fiber Bragg grating;
a fourth optical path optically coupled to the second optical path, the third optical path, and the optical spectrum analyzer, wherein the reflected pulse from the mirror and the reflected pulse from the first fiber Bragg grating propagate to the optical spectrum analyzer; and
a fifth optical path optically coupled to the laser pulse source and the optical spectrum analyzer, the fifth optical path comprising a delay line, wherein a second portion of the input laser pulse propagates from the laser pulse source along the fifth optical path to the optical spectrum analyzer. - View Dependent Claims (47, 48, 49, 50, 51, 52, 53)
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Specification