Optical filter device with aperiodically arranged grating elements
First Claim
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1. A method for creating an optical filter having aperiodically configured filter elements, comprising:
- selecting initial characteristic attributes for the filter elements based upon a random seed;
generating an initial configuration of the filter elements having the initial characteristic attributes;
defining a cost function representing a goodness of fit between a desired spectral response and a computed spectral response of the optical filter;
using a simulated annealing process to iteratively compute the cost function by modifying at least one characteristic attribute of at least one filter element; and
if the iteratively computed cost function is less than a predetermined cost function, selecting the configuration of the filter elements that corresponds to the iteratively computed cost function as a desired configuration of the filter elements to provide the desired spectral response.
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Abstract
A method for producing aperiodic gratings and waveguides with aperiodic gratings uses a simulated annealing process that starts with a random configuration of grating elements and iteratively computes a spectral response from a Fourier transform of the configuration of grating elements obtained in successive iterations. A cost function is computed as a convergence criterion. The aperiodic grating can be used, for example, as a filter in WDM applications.
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Citations
22 Claims
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1. A method for creating an optical filter having aperiodically configured filter elements, comprising:
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selecting initial characteristic attributes for the filter elements based upon a random seed;
generating an initial configuration of the filter elements having the initial characteristic attributes;
defining a cost function representing a goodness of fit between a desired spectral response and a computed spectral response of the optical filter;
using a simulated annealing process to iteratively compute the cost function by modifying at least one characteristic attribute of at least one filter element; and
if the iteratively computed cost function is less than a predetermined cost function, selecting the configuration of the filter elements that corresponds to the iteratively computed cost function as a desired configuration of the filter elements to provide the desired spectral response. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A method for producing an optical waveguide with at least one desired optical transmission characteristic, comprising:
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selecting initial characteristic attributes for aperiodically configured grating elements based upon a random seed;
generating an initial configuration of the grating elements having the initial characteristic attributes;
defining a cost function representing a goodness of fit between a desired spectral response and a computed spectral response of the optical waveguide;
using a simulated annealing process to iteratively compute the cost function by modifying at least one characteristic attribute of at least one grating element;
if the iteratively computed cost function is less than a predetermined cost function, selecting the configuration of the grating elements that corresponds to the iteratively computed cost function as a desired configuration of the grating elements to provide the desired spectral response; and
forming an aperiodic grating corresponding to the desired configuration of the grating elements in or on the optical waveguide so that the optical waveguide has the at least one desired optical transmission characteristic. - View Dependent Claims (13, 14, 15, 16, 17, 18, 19, 20, 21, 22)
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Specification