Design of a series-coupled microring resonator wavelength filter using the digital filter design method

Zhifeng Peng; Takuya Komatsubara; Mao Yamauchi; Taro Arakawa

doi:10.1364/JOSAB.437989

Journal of the Optical Society of America B
Vol. 38,
Issue 10,
pp. 2837-2846
(2021)
•https://doi.org/10.1364/JOSAB.437989

Design of a series-coupled microring resonator wavelength filter using the digital filter design method

Zhifeng Peng, Takuya Komatsubara, Mao Yamauchi, and Taro Arakawa

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Zhifeng Peng, Takuya Komatsubara, Mao Yamauchi, and Taro Arakawa, "Design of a series-coupled microring resonator wavelength filter using the digital filter design method," J. Opt. Soc. Am. B 38, 2837-2846 (2021)

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Abstract

We propose a digital filter design method for high-order series-coupled microring resonator (MRR) filters considering coupling loss in coupling areas. This method makes it possible to design high-order MRR filters with desired parameters such as a 3 dB wavelength bandwidth, free spectral range (FSR), and center wavelength, which have been difficult to design so far. It is possible to apply the proposed design method to design MRR filters based on the Vernier effect with an expanded FSR. We demonstrate fourth-order Butterworth and Chebyshev silicon-based MRR filters designed with the proposed method. The 3 dB wavelength bandwidth, FSR, and center wavelength of the designed MRR filter are almost identical with the target values.

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (42)

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Parameters	Butterworth	Chebyshev
$L$ (µm)	139.5	139.5
$K_{0}$	0.699	0.322
$K_{1}$	0.137	0.091
$K_{2}$	0.065	0.061
$K_{3}$	0.137	0.091
$K_{4}$	0.699	0.322

Performance Parameters	Target	Butterworth	Chebyshev
$λ_{0}$ (nm)	1550	1550	1550
FSR (nm)	4.1	4.1	4.1
$Δ λ$ (nm)	0.6	0.6	0.6
Shape factor	–	3.71	2.44
Roll-off (dB)	–	49.96	62.67
Insertion loss (dB)	–	1.28	2.33

Parameters	Butterworth	Chebyshev
$L_{1}, L_{3}$ (µm)	32.5, 48.7	32.5, 48.7
$K_{0}$	0.151	0.121
$K_{1}$	0.011	0.003
$K_{2}$	0.003	0.005
$K_{3}$	0.025	0.024
$K_{4}$	0.447	0.069

Performance Parameters	Target	Butterworth	Chebyshev
$λ_{0}$ (nm)	1550	1550	1550
FSR (nm)	35.2	35.2	35.2
$Δ λ$ (nm)	0.6	0.61	0.62
Cross talk (dB)	–	39.12	42.26
Shape factor	–	3.63	2.68
Roll-off (dB)	–	87.74	99.17
Insertion loss (dB)	–	5.38	8.39

Target $Δ λ$ (nm)	$K$ of the Butterworth MRR Filter	$K$ of the Chebyshev MRR Filter
0.7	0.174, 0.015, 0.004, 0.034, 0.499	0.140, 0.004, 0.006, 0.033, 0.092
0.6	0.151, 0.011, 0.003, 0.025, 0.447	0.121, 0.003, 0.005, 0.024, 0.069
0.5	0.128, 0.008, 0.002, 0.018, 0.390	0.102, 0.002, 0.003, 0.017, 0.067
0.4	0.103, 0.005, 0.001, 0.011, 0.323	0.082, 0.001, 0.002, 0.011, 0.055
0.3	0.079, 0.003, 0.0008, 0.006, 0.257	0.062, 0.001, 0.001, 0.006, 0.040

Abstract

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Equations (42)

Journal of the Optical Society of America B