Digital synthesis of optical interleaver based on a solid multi-mirror Fabry&#x2013;Perot interferometer

Juan Zhang; Dong Hua; Yipeng Ding; Yang Wang

doi:10.1364/AO.56.009976

Digital synthesis of optical interleaver based on a solid multi-mirror Fabry–Perot interferometer

Juan Zhang, Dong Hua, Yipeng Ding, and Yang Wang

Applied Optics
Vol. 56,
Issue 36,
pp. 9976-9983
(2017)
•https://doi.org/10.1364/AO.56.009976

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Juan Zhang, Dong Hua, Yipeng Ding, and Yang Wang, "Digital synthesis of optical interleaver based on a solid multi-mirror Fabry–Perot interferometer," Appl. Opt. 56, 9976-9983 (2017)

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Related Topics
Table of Contents Category
- Optical Devices
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Buffers, couplers, routers, switches, and multiplexers (060.1810)
- Wavelength filtering devices (230.7408)

About this Article
History
- Original Manuscript: September 11, 2017
- Revised Manuscript: November 7, 2017
- Manuscript Accepted: November 19, 2017
- Published: December 14, 2017

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Abstract

Starting from the matrix method introduced by Stadt, Muller, and Bae, digital signal processing (DSP) techniques are used to design multi-mirror Fabry–Perot (MMFP) interferometers. Solid MMFP interleavers with different filter orders and duty cycles are synthesized and optimized with this DSP method to achieve high isolation, wide flattop, and large passband bandwidth ratio. Tolerance analysis of a typical structure is presented as well. This method is used to explain an interferometric measurement to show its utility in experimental practice. This method can also be applied to the design and analysis of other interference devices based on Fabry–Perot etalons.

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Structures	B	C
Reflection coefficients	$r_{1} = 0.5713$ $r_{2} = 0.9118$	$r_{1} = 0.4286$ $r_{2} = 0.8580$ $r_{3} = 0.9400$

Structures	PBR at $- 0.0436 dB$ Isolation	PBR at $- 0.0173 dB$ Isolation	PBR at $- 0.0069 dB$ Isolation
B	54.17%	49.55%	45.98%
A	58.61%	52.44%	48.40%
C	71.97%	68.86%	66.47%

Duty Cycles	$1 ∶ 3$	$1 ∶ 4$	$1 ∶ 5$	$1 ∶ 6$
Reflection coefficients	$r_{1} = 0.2951$	$r_{1} = 0.3577$	$r_{1} = 0.4286$	$r_{1} = 0.4671$
	$r_{2} = 0.6926$	$r_{2} = 0.7819$	$r_{2} = 0.8580$	$r_{2} = 0.8911$
	$r_{3} = 0.8332$	$r_{3} = 0.8972$	$r_{3} = 0.9400$	$r_{3} = 0.9591$

Duty Cycles	Rectangular Degree	Ripple (dB)	Isolation (dB)
$1 ∶ 3$	4.65	0.00242	−34.89
$1 ∶ 4$	4.47	0.00154	−44.03
$1 ∶ 5$	4.32	0.00058	−54.48
$1 ∶ 6$	3.98	0.00016	−61.15

	FWHM	FSR	Finesse
Theoretical results in Ref. [10]	10.1 pm	299.7 pm	29.7
Experimental results in Ref. [10]	13 pm	300 pm	23.1
Synthesized spectrum (this work)	13.1 pm	299.9 pm	22.9

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