This application is a national phase of International Application No. PCT/GB2010/050463 filed Mar. 18, 2010 and published in the English language.
The invention relates to a device and method for modulating an optical carrier field with a single sideband signal. Applications exist in optical fibre telecommunications networks and optical fibre sensor networks.
It is well known that modulation formats generated electrically can be translated to optical frequencies by use of an optical single sideband (SSB) modulator. Because of the increased interest in the generation of more complex modulation formats to improve spectral efficiency there is a need for efficient and cost-effective methods for optical SSB modulation.
The usual method of generating optical SSB is to use one or more Mach-Zehnder Interferometer (MZI) arrangements. The arms of the MZI contain optical phase adjusters and electro-optic phase modulators. These are driven by a combination of electrical signals. The correct phase relationships to cancel (null) out the carrier and one set of sidebands is achieved using an appropriate combination of optical path lengths and control of the phase of the electrical drive signals. The resultant modulator is large (several cm long), often requiring special travelling-wave electrode structures, and is not well suited to optical integration in a photonic integrated circuit (PIC).
The present invention provides a device for modulating an optical carrier field with a single sideband signal as claimed in claim 1 and a method as claimed in claim 9. Optional features are described in the dependent claims.
According to the invention a much more compact architecture is possible, at least in preferred embodiments, based on optical intensity modulators (typically 100 um long) in the arms of a Michelson Interferometer. Reflection-mode electro-absorption modulators (REAMs), placed at the ends of each arm of the interferometer, may be driven by suitably phased electrical modulating signals. The relative optical path length of the two arms may be adjustable so that the correct optical phase relationship between the modulated optical carriers can be obtained. The Michelson Interferometer is inherently more compact than the MZI and is ideally suited to REAM technology. The small size, wide bandwidth, and low operating voltage of REAMs is also a major advantage for producing array devices suitable for PICs.
In broad terms, a method for generating an optical single sideband signal, the method comprising the steps of splitting an optical field into two parts and introducing a relative phase delay of +/−π/4 radians in each direction of transmission to one of the parts, intensity reflection-modulating each part with electrical signals having a relative phase delay of +/−π/2 radians and then recombining the reflection-modulated signals.
The reflection-modulators may be reflection electro-absorption modulators (R-EAMs). The optical splitting, combining and phase delay means may be performed by silica on silicon waveguides. The component parts may be assembled on a hybrid photonic integrated circuit.
The optical splitting, combining and phase delay means may be performed by indium phosphide waveguides. The component parts may be assembled on a monolithic photonic integrated circuit.
Additional optical splitters, combiners, and phase adjusters may be used to remove, or reduce, the optical carrier. The outputs of two single sideband modulators may be combined. A phase adjuster may be used to control the level of the carrier.
A number of single sideband generators or component parts may be combined on one or more hybrid or monolithic photonic integrated circuits.
There is also disclosed a feedback control system to optimise the residual optical carrier level by controlling the phase, and amplitude, of the component signals within the SSB generator.
Embodiments of the invention are further described hereinafter with reference to the accompanying drawings, in which:
Eo(t)=0.5A·{[1+m·x(t)]0.5·Cos(wt)−[1+m·x^(t)]0.5·Sin(wt)} (1)
where A is the amplitude of the input field and m is the intensity modulator modulation index. The square root terms are due to the intensity modulation process. An ideal 2×2 coupler scatter matrix was used in deriving equation 1, see for example Agrawal, “Applications of Nonlinear Fiber Optics”, Academic Press 2001).
A series expansion of the square root terms of Equation 1 gives:
Eo(t)=0.5A·{[1+m·x(t)/2−0.25m2x2(t)/2!+ - - - ]·Cos(wt)−[1+m·x^(t)/2−0.25m2x^2(t)/2!+ - - - ]·Sin(wt)} (2)
For low modulation index (m<<1) higher order terms in the series expansion can be ignored and the output is approximated by:
Eo(t)˜(A/√2)·[Sin(wt−π/4)+m/(2√2)·{x(t)·Cos(wt)−x^(t)·Sin(wt)}] (3)
The first term in Equation 3 is the residual carrier and the other terms are the desired SSB signal. This type of SSB signal is called an SSB-TC where TC stands for transmitted carrier. The example SSB modulator described in
Due to imperfections in the balance of the optical splitting/combining ratios of the coupler 2 and differences in the optical path loss in the arms connecting the reflection modulators it may be desirable to adjust the electrical drive signal parameters, such as dc bias and modulating signal amplitude, in order to optimise the sideband suppression ratio. The phase shift element 3 may be implemented as a variable phase adjuster, based on a waveguide heater, as this offers an additional degree of freedom in setting the operating point of the SSB generator.
The Hilbert transform of a signal is equivalent to applying a π/2 phase shift to all of the frequency components of the signal. The modulating signal x(t), and its Hilbert transform x^(t) at the electrical inputs 6a, 6b, can be virtually any type of information carrying waveform, ranging from a simple analogue or digital baseband signals, to a frequency division multiplex of many data signals. Applications range from point-to-point digital transmission systems to frequency division multiplexes of many data signals as used in cable access television (CATV) systems for example.
A variable optical attenuator could be placed in either output port of coupler 10, or input port of coupler 11, in order to allow the amplitudes of the two carriers to be balanced to give maximum carrier suppression when they are combined in anti-phase in coupler 11.
The advantages of the proposed method of SSB generation are summarised below:
Eo(x1t)=0.5−3/2·Ei·{[1+m·x1(t)]0.5−[1−m·x1(t)]0.5} (4)
where Ei is the input optical field and m is the intensity modulator modulation index. The square root terms are due to the intensity modulation process. An ideal 2×2 coupler scatter matrix was used in deriving Equation 4, see for example Agrawal, “Applications of Nonlinear Fiber Optics”, Academic Press 2001. Using a series expansion of the square root terms, Equation 4 simplifies to:
Eo(x1t)=0.5−3/2·Ei·{[m·x1(t)]/2−[m·x1(t)]2/8+[m·x1(t)]3/16−+ - - - −[m·x1(t)]/2+[m·x1(t)]2/8−[m·x1(t)]3/16+− - - - } (5)
which simplifies further to . . .
Eo(x1t)=0.5−3/2·Ei·{[m·x1(t)]+[m·x1(t)]3/8+ - - - } (6)
The important observation here is that all of the even order harmonics cancel leaving only the odd order terms. Equation 6 only shows the series expansion terms up to powers of 3. Ignoring the higher order (odd harmonic) terms has negligible impact when the modulation depth m<1, and all of the even order harmonics cancel anyway.
Similarly, the resulting optical field Eo(t), at the output 17 of the coupler 2b, is now given by Equation 7:
Eo(x^1t)=0.5−3/2·Ei·{[m·x^1(t)]+[m·x^1(t)]3/8+ - - - } (7)
The signals described by Equations 6 and 7 are combined in coupler 11 with a relative phase shift of φ radians due to the phase adjuster 12. If this phase difference is set to +/−π/2 radians, then the signals on output ports 13 and 14 become:
Eo(t)=0.25·Ei·{[m·x1(t)]+[m·x1(t)]3/8+/−j·([m·x^1(t)]+[m·x^1(t)]3/8)} (8)
where j represents the square root of −1. One signal, corresponding to either +j or −j, will appear on one output port and the corresponding signal with opposite sign will appear on the other output port.
For low modulation index (m<<1) higher order terms in the series expansion can be ignored and the output is approximated by:
Eo(t)˜0.25·Ei·{[m·x1(t)]+/−j·[m·x^1(t)]} (9)
Equation 9 is immediately recognisable as the classic equation for an SSB signal. One sign of j (−) corresponding to a lower side-band SSB signal, the other (+) corresponding to an upper side-band SSB signal. Thus, the two output ports 13, 14 will have opposite side-band SSB signals. The main difference between this result and that given earlier in Equation 3 is that the carrier and all of the even-order harmonics have been eliminated. However, this improvement in signal quality is achieved at the expense of reduced efficiency since only one SSB signal is generated on each output port.
Due to imperfections in the balance of the optical splitting/combining ratios of the coupler 2 and differences in the optical path loss in the arms connecting the reflection modulators it may be desirable to adjust the electrical drive signal parameters, such as dc bias and modulating signal amplitude, in order to optimise the sideband suppression ratio. The phase shift elements 3 and 12 may be implemented as a variable phase adjuster, based on a waveguide heater, as this offers an additional degree of freedom in setting the operating point of the SSB generator.
Throughout the description and claims of this specification, the words “comprise” and “contain” and variations of them mean “including but not limited to”, and they are not intended to (and do not) exclude other components, integers or steps. Throughout the description and claims of this specification, the singular encompasses the plural unless the context otherwise requires. In particular, where the indefinite article is used, the specification is to be understood as contemplating plurality as well as singularity, unless the context requires otherwise.
Features, integers, characteristics or groups described in conjunction with a particular aspect, embodiment or example of the invention are to be understood to be applicable to any other aspect, embodiment or example described herein unless incompatible therewith. All of the features disclosed in this specification (including any accompanying claims, abstract and drawings), and/or all of the steps of any method or process so disclosed, may be combined in any combination, except combinations where at least some of such features and/or steps are mutually exclusive. The invention is not restricted to the details of any foregoing embodiments. The invention extends to any novel one, or any novel combination, of the features disclosed in this specification (including any accompanying claims, abstract and drawings), or to any novel one, or any novel combination, of the steps of any method or process so disclosed.
Number | Date | Country | Kind |
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0904600.4 | Mar 2009 | GB | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/GB2010/050463 | 3/18/2010 | WO | 00 | 9/15/2011 |
Publishing Document | Publishing Date | Country | Kind |
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WO2010/106368 | 9/23/2010 | WO | A |
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