Filters, including optical filters, having equal group delay...

Optical: systems and elements – Optical amplifier – Correction of deleterious effects

Reexamination Certificate

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C359S589000

Reexamination Certificate

active

11246645

ABSTRACT:
The present invention provides an optical telecommunications network that includes at least one of a filter having equal group delay ripple and minimized phase non-linearity which is formed by the process including limiting at least one of the group delay ripple and the phase non-linearity of the filter between a predetermined upper boundary and a predetermined lower boundary, wherein such limiting includes selecting a baseline filter of a predetermined order having a given transmission at a given frequency from a center frequency of the baseline filter; deriving a scaling factor by, where the given transmission of the baseline filter is equal to a predetermined transmission of the filter, comparing the given frequency from the center frequency of the baseline filter to a predetermined frequency from a center frequency of the filter; applying the scaling factor to a denominator polynomial of the baseline filter to obtain a denominator polynomial of the filter; and performing simplex-type multi-parameter optimization of at least one of a calculated group delay and a calculated phase non-linearity within a predetermined frequency band.

REFERENCES:
patent: 6853756 (2005-02-01), Gerlach et al.
patent: 7206477 (2007-04-01), Madsen
patent: 2006/0067695 (2006-03-01), Doerr et al.
patent: 02004170838 (2004-06-01), None

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