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The present invention provides a method for producing a Mach-Zehnder filtering device. The method includes the following steps : (a) providing an optical fiber having a jacket and a core containing rare earth element dopants; (b) stripping the jacket of a segment of the optical fiber; and (c) performing a fused-tapering to the stripped segment of the optical fiber to form a first and a second necks simultaneously, wherein the core exists in both the first and the second necks to form a Mach-Zehnder interferometer.