An Analytical Solution for Fiber Optic Links with Photonic-Assisted Millimeter Wave Upconversion Due to MZM Nonlinearities

Souza, Romildo Henrique de; Coutinho, Olympio Lucchini; Oliveira, José Edimar Barbosa; Ferreira, Antônio Alves; Ribeiro, José Antônio Justino

doi:10.1590/2179-10742017v16i1885

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Journal of Microwaves, Optoelectronics and Electromagnetic Applications

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Article • J. Microw. Optoelectron. Electromagn. Appl. 16 (01) • Jan-Mar 2017 • https://doi.org/10.1590/2179-10742017v16i1885 copy

An Analytical Solution for Fiber Optic Links with Photonic-Assisted Millimeter Wave Upconversion Due to MZM Nonlinearities

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

Photonic-assisted technique employed in the generation of stable and high-purity signals in the millimeter wave band has been investigated using dual-parallel Mach-Zehnder modulator. Indeed, this type of generation performs a high order RF multiplier, whose operation principle steams out from the nonlinear characteristic of the external modulators. Its application in direct-detection fiber optic link was investigated based on an exact formulation that properly takes into account both the dispersion of a single mode fiber and the modulator nonlinearity. Analytic expression for the link transfer function dependence with respect to both modulator bias point and modulation index were obtained. It is worthwhile to mention that RF tuning is enabled since no optical filtering is required. As an illustration of the modeling usefulness, it is analytically shown that a 60 GHz millimeter signal, generated by photonic quadruplicating a 15 GHz signal using dual-parallel Mach-Zehnder modulator, can be transmitted through a 80 km link of standard single mode fiber with less than 0.1 dB deviation with respect to ideal flat response. This performance is much better than previously published results.

Index Terms
Chromatic Dispersion; Electro-optic Up-conversion; Fiber Optic; Radio over Fiber

Bias Point	Normalized Optical Power		Normalized Electrical Power
Bias Point	n even	n odd	n even	n odd
MATB	$J_{n}^{2} (m)$	0	$\frac{J_{n}^{2} (2 m)}{2}$	0
QB	$\frac{J_{n}^{2} (m)}{2}$	$\frac{J_{n}^{2} (m)}{2}$	0	$\frac{J_{n}^{2} (2 m)}{2}$
MITB	0	$J_{n}^{2} (m)$	$\frac{J_{n}^{2} (2 m)}{2}$	0

Harmonic	Exact Solution [⁹[9] A. A. Ferreira, J. A. Ribeiro, R. H. Souza, N. A. Roso, O. L. Coutinho, J. E. B. Oliveira, “Large signal analysis of photonic-assisted millimeter wave upconversion using Mach-Zehnder modulators,” Anais do MOMAG 2014, Curitiba, p. 518-523 (2014).]	Approximated Solution [⁶[6] C-T. Lin, et al., “Optical millimeter-wave up-conversion employing frequency quadrupling without optical filtering,” IEEE Transactions on Microwave Theory and Techniques, vol. 57, no. 8, pp. 2084-2092, Aug. 2009.], [⁷[7] C-T. Lin, et al., “Optical millimeter-wave signal generation using frequency quadrupling and no-optical filtering,” IEEE Photonics Technology Letters, vol. 20, no. 12, pp. 1027-1029, June 2008.], [⁸[8] N. A. Al-Shareefi, et al., “Development of a new approach for high-quality quadrupling frequency optical millimeter- wave signal generation without optical filtering,” PIERS, vol. 134, pp. 189-208, 2013.]
i(4ω_RF)	$J_{4} (2 m) + 2 J_{4} (\sqrt{2} m)$	$J_{2}^{2} (m) + 2 J_{2} (m) . J_{6} (m)$
i(8ω_RF)	$J_{8} (2 m) - 2 J_{8} (\sqrt{2} m)$	$2 J_{2} (m) . J_{6} (m)$
i(12ω_RF)	$J_{12} (2 m) + 2 J_{12} (\sqrt{2} m)$	$J_{6}^{2} (m)$

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