Order Chromatic Research Articles

Performance Analysis Of Optical Modulation Techniques Based On Reduction Of Second Order Harmonics And Chromatic Dispersion on OFDM Signals

ABSTRACT This work explains the theoretical and mathematical investigations of the transmission performance of an optical Single Sideband (SSB) modulation technique generated by a Mach Zehnder Modulator (MZM) with a 90° and 120° phase shift using hybrid coupler (Modified SSB) in addition to the Vestigial Sideband technique (VSB). The problem addressed in this paper is the effect of non-linearity of the transmitter system and the chromatic dispersion in single mode fiber due to the presence of second- and higher order harmonics. The non-linearity of the transmitter generates second and higher order harmonics, which affects the system performance leading to reduction in the data rate and increased distortion. The transmission performance of SSB, M-SSB and VSB is evaluated based on the extinction ratio of the MZM, different transmission lengths of the fiber, optical signal modulation index and the receiver sensitivity. A mathematical model has been developed for all the systems representing the modulation techniques till the second order. The baseband modulation consists of an RF signal of frequency 18 GHz and an Orthogonal Frequency Division Multiplexing (OFDM) signal with 4-QAM modulation technique converted to optical signal, using the MZM and transmitted over a SMF of distance of 75 Km. Our results show that the M-SSB technique proves to be more immune toward transmitter nonlinearity and chromatic dispersion as compared to its counterparts. In addition to this, it improves the receiver sensitivity by 6.56 dBm. The results generated by software simulation are in tandem with the mathematical model.

Comparative study on epsilon-near-zero transparent conducting oxides: High-order chromatic dispersions and modeling of ultrashort pulse interactions

A comparative study on the chromatic dispersions and the interactions with ultrashort pulses in epsilon-near-zero (ENZ) transparent conducting oxides (TCOs) is theoretically presented. The ENZ TCOs exhibit rapidly varying and unprecedentedly large $N\mathrm{th}$-order dispersions in the ENZ region, which is exclusive to ENZ plasmonic materials. However, it is found that in both physical and mathematical senses, the concepts of high $N\mathrm{th}$-order chromatic dispersions are inapplicable for ENZ TCOs with Drude-like permittivity. Subsequently, the impacts of the complex permittivity dispersion profiles on ultrashort pulse interactions are discussed. Comparisons are made between propagation patterns in an ENZ AZO waveguide obtained from the nonlinear Schr\"odinger equation (NLSE) and Maxwell's equations, as well as between interactions of femtosecond pulses with different temporal widths in a subwavelength ENZ AZO slab. Results show that the well-received NLSE is not suitable for modeling ENZ TCOs in either case, and subwavelength interaction patterns with different pulse widths are quite different, where the shorter pulse can excite stronger localized resonance.

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

Using the Lugiato-Lefever model, we analyze the effects of third order chromatic dispersion on the existence and stability of dark and bright soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third order dispersion only dark solitons exist over an extended parameter range, we find that third order dispersion allows for stable dark and bright solitons to coexist. Reversibility is broken and the shape of the switching waves connecting the top and bottom homogeneous solutions is modified. Bright solitons come into existence thanks to the generation of oscillations in the switching wave profiles. Finally, oscillatory instabilities of dark solitons are also suppressed in the presence of sufficiently strong third order dispersion.

Noise conversion in Kerr comb RF photonic oscillators

Transfer of amplitude and phase noise from a continuous wave optical pump to the repetition rate of a Kerr frequency comb is studied theoretically, with focus on generation of spectrally pure radio frequency (RF) signals via demodulation of the frequency comb on a fast photodiode. It is shown that both the high order chromatic dispersion of the resonator spectrum and frequency-dependent quality factor of the resonator modes facilitate the optical-to-RF noise conversion that limits spectral purity of the RF signal.

Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption

We show full three-dimensional electrical and optical simulation of a tunable silicon-based photonic crystal chromatic dispersion compensator with high power efficiency and ultralow power consumption (114 nW), operating at a speed of 40.5 MHz. The device exploits a structure where the optical field maximum is not in a photonic crystal waveguide, but rather in a hybrid Si3N4/Si/SiO2 structure that will allow greater ease of fiber coupling due to larger mode size and reduced loss. The chromatic dispersion compensation is broadband and produces constant second order chromatic dispersion over an optical communication band such as C-band.

Chromatic Dispersion in Ge-Doped SiO<sub>2</sub>-Based Single Mode Fibres due to Temperature Dependence of the Ultraviolet Absorption: Numerical and Experimental Results

The main information transmission limitation in optical communications employing SiO2 optical fibres is imposed by the optical pulses temporal broadening, resulting from the dispersive properties of the transmission medium (chromatic dispersion). Usually, this dispersion is modelled assuming a -0.4 meV/°C dependence of the 11 eV gap energy. We have monitored the 4.3 eV absorption band, with temperature and obtained a thermal dependence of -0.026 meV/°C. With this value we can predict the first and second order chromatic dispersion for a wavelength of 1550 nm.

Chromatic dispersion induced distortion of modulated monochromatic light employing direct detection

The spectrum of an intensity modulated (IM) and a combined intensity-frequency modulated (IM-FM) monochromatic light source has been generated. The amplitudes of the modulated carrier and the first three pairs of sidebands are plotted showing the influence of IM on an FM signal. The effects of first order chromatic dispersion on the baseband amplitude response and harmonic distortion are determined. The manner in which modulation type and depth, modulating frequency, wavelength, and fiber length alter harmonic distortion is presented. Numerical examples giving the amplitude response of a single-mode fiber system as well as the magnitude of the second- and third-harmonic distortion caused by chromatic dispersion are presented. Based on this material, the limits placed on analog transmission due to chromatic dispersion may be assessed.

ON THE RELATIVISTIC ABERRATION THEORY OF A COMBINED FOCUSING-DEFLECTION SYSTEM WITH MULTI-STAGE DEFLECTORS

In the present paper, the relativistic first order chromatic and third order geometrical aberration formulas, which are different from those in ref. [1], have been derived for a combined focusing-deflection system with superimposed field, and all aberration coefficients have been given in explicit form. With the help of these aberration formulas, the deflection aberrations of a combined system with multi-stage deflectors have been discussed in detail.