The invention relates to in-band signaling, and in particular to optical cross-connect switches providing an in-band signaling capability. The invention finds application to micro-electromechanical systems (MEMS), but it is not so limited.
The optical cross-connect switch promises to become a key element of fiber-optic networks. Steering elements in the optical switch are used to direct beams of light from input fibers to the desired output fibers (or equivalently, optical waveguides). The amount of optical power coupled through a given connection is a function of a) the amount of power present in the input fiber, b) insertion losses at the fibers, lenses, and mirrors, c) coupling loss due to mode radii mismatches and longitudinal errors, and d) coupling loss due to errors in beam alignment as effected by the steering elements.
Previous optical switches have not capitalized on the loss due to errors in beam alignment as a means of intentionally modulating the power emerging from the output fibers en route to certain other elements of the optical network. A fraction of signal power can be utilized to generate a set of commands to signal other elements downstream along the optical path. This command set can be encoded as a sequence of events expressed by different optical power levels, discrete frequencies, or their combination. Such in-band signals travel along the same optical channels available for data. One representative use is to optically add a key to the data channel through the “send” optical switch allowing the “receive” optical switch to use the key to determine what optical connection should be made for the incoming data. In an all-optical network employing optical switches in conjunction with power-level-sensitive elements, such as optical amplifiers and multi-wavelength systems, the signaling function currently executed using dedicated elements can potentially be absorbed by the optical switch, thereby minimizing or eliminating the need for expensive post-switch signaling sources.
In-band signaling techniques can be implemented with a single mirror actuated with at least one actuator used as a beam-steering element; the power loss is governed by the mirror deflecting angle in at least one axis away from a set of angles that maximize coupling.
In prior art, such as found in U.S. Pat. Nos. 6,711,340; 6,484,114 and 6,556,285 of the assignee of the present invention Glimmerglass Networks, Inc., techniques were disclosed for optical beam alignment of cross-connect switches and similar optical devices using a constant amplitude dithering technique. The subject matter of these patents is incorporated by reference herein for all purposes. Although the power-loss mechanism is similar to the loss mechanism employed in the present context, the prior art is not applicable to the general case of using two or more steering elements, nor to the specific case of an in-operation optical switch utilizing prescribed motions of the steering elements that prohibit the methods of the prior patents. The need exists for a technique for optical modulation that can be effected using the steering elements of an in-operation optical switch without deleterious impact on the switching functions.
It has been shown in U.S. Pat. Nos. 6,556,285 and 6,484,114 that four coordinate errors can be detected using synchronous detection. The four orthogonal oscillations, dithers, of the output errors are produced through associated motion of the mirrors as defined by a kinematic mapping between an actuator space and a coupling space. Each mirror in the optical path is actuated with a pair of orthogonal, in the x and y directions, angular displacement commands. These imposed angular displacement commands that effect dither are in addition to the nominal mirror steering commands that center the beams on the mirrors. The four unknown alignment errors are detected by demodulating the logarithm of the power with the four time-orthogonal dither mode variable signals and averaging over the minimum time period that the four dither cycles repeat. It has been shown that the effects of the four dithers on the logarithm of the power are separable and proportional to the alignment errors that can be individually minimized. In the prior art, the objective has been to maintain a constant power at the output fiber with minimal optical loss of a connection using dithering. In contrasts, as will be explained, an object of the present invention is to excite an in-band signal, or a modulated signal with unique frequency signatures.
The need exists for an in-band signaling technique for optical modulation that can be effected using the steering elements of an in-operation optical switch without deleterious impact on the switching functions and which is robust in the presence of noise and variations of in-line optical power.
According to the invention, in a multiple-axis free-space-coupled single-mode fiber-optic transmission system, such as an optical cross-connect switch, a method and apparatus are provided for the closed loop attenuation of optical beam power signals employed to align and cause dithering via MEMS mirrors which are manipulated to impose an additional signal on the optical beam frequency modulation; in particular a time-varying set of induced mirror angles that yield a desired time history of optical power levels that are modulated according to a digital code in the frequency modulation pattern. The present invention includes methods to excite variable frequency modulated signals into the optical data channel while maintaining a sufficient alignment for optical coupling. The controlled time sequence expressed as a time-varying optical power level can be used for in-band signaling along the same optical channels available for conventional optical data. The modulated signal is conveyed through the cross-connect switch and is useful for example in control and command of the cross-connect switch.
In a specific embodiment involving two tip-tilt mirrors employed to couple optical power from an input fiber to an output fiber, the four mirror axes are actuated in such a way as to produce a time-varying set of induced mirror angles that yield a desired time history of optical power levels. The controlled time sequence is expressed as a time-varying optical signal of discrete frequencies that can be used for in-band signaling. Such continuous or burst signals travel along the same optical channels available for data conveyed through the fibers.
The technique can be used simultaneously with compatible alignment-detection techniques that ignore the frequency component and infer optical alignment through observation of signals at the frequencies of induced motions, known as dithers. The theoretical basis, as presented here, for four-axis variable speed attenuation is sufficient for the general case. Therefore, the disclosure is to be understood to address the cases for applications of more or fewer than four axes with a plurality of steering elements in the optical path.
The invention will be better understood by reference to the following detailed description in connection with the accompanying drawings.
Referring to
Referring to
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Assuming that longitudinal misalignments are zero and that the beam is matched to the mode field radius of the output fiber, the total coupled power Pout, a scalar quantity measured at the output fiber, can be approximated in a Gaussian form in terms of an input power Pin and four normalized beam alignment errors:
P
out
=P
in
e
−(α
+β
+ρ
+σ
), (1)
where Pin is the optical power before loss due to alignment errors, and the four normalized errors α, β, ρ, and σ are given by:
where:
f is the lens focal length,
w0 is the beam radius at 1/e2 power density,
λ is the laser wavelength, and
ngap is the index of refraction of the medium in the lens/fiber gap.
As discussed previously, the four normalized coordinate errors in angles α and β, and positions Px and Py are detected using synchronous detection. The detection process is explained as follows for the simplified case of a scalar normalized error x. The coupled output power is given in Gaussian form by:
P
out
=P
in
e
−x
,
where x(t) at time t is the sum of the unknown error xu and the known sinusoidal dither component xd(t) at frequency ωd:
x=x
u
+x
d. (2)
The logarithm of the power Pout is given by:
log(Pout)=log(Pin)−x2.
Since the quantity x2 is given by:
the log of the power is given by:
log(Pout)=log(Pin)−(xu2+2xuxd+xd2). (3)
In the case of a MEMS fiber-optic switch for which the coupled power is Gaussian in the four normalized alignment errors, quadrature dithering of the beam alignments, sine and cosine signals at a given frequency, produces a constant coupled power when the alignment errors, ignoring the dither component, are zero and the model parameters of the system are properly tuned.
To resolve mathematically the unknown alignment errors from 4-axis, (Xuθx, Xuθy, XuPx, XuPy) by, it can be shown that the orthogonal dithers, xd, from equation 2 to be expressed as Aθ sin(ωθ t), Bθ cos(ωθ t), AP sin(ωP t) and BP cos(ωP t) added to the existing alignment errors of 4 axes, resulting the following:
X
θx
=Xu
θx
+A
θ sin(ωθt)
X
θy
=Xu
θy
+A
θ sin(ωθt)
X
Px
=Xu
Px
+A
P sin(ωθPt)
X
Py
=Xu
Py
+A
P sin(ωθPt)
where ωθ and ωP are dithering frequencies, and Aθ, Bθ, AP and BP are four dither amplitudes that are “known” misalignment and will constitute small optical losses. Aθ, Bθ, AP and BP are calibration parameters that are determined and scaled by controlled bias voltages. The four unknown alignment errors, Xuθx, Xuθy, XuPx, XuPy, can be detected by demodulating the logarithm of the power with the four time-orthogonal dither mode variable signals and averaging over the minimum time period (T=2π/ωo).
Mathematically, it can be represented as follows:
X
θx=MoveAvgFilt(Xθx(t)*sin(ωθt))
X
θy=MoveAvgFilt(Xθy(t)*cos(ωθt))
X
Px=MoveAvgFilt(XPx(t)*sin(ωPt))
X
Py=MoveAvgFilt(XPy(t)*cos(ωPt))
where MoveAvgFilt(g(t)) is defined as 1/T∫g(t) dt over a period from t to t+T. To zero out other terms except the alignment errors in the equation 3, ωθ and ωP are necessary to be the harmonics of ωθ. For example, ωθ=2ωo and ωP=3ωo. It can be shown that these unknown alignment errors, Xuθx, Xuθy, XuPx, XuPy, can be are separable, individually minimized and corrected through feedback.
When the alignment errors, ignoring the dither component, are zero, as in
According to the invention, S(t) in
An example follows for the case of a plant incorporating a lens/fiber coupling element for which the power coupling is Gaussian in a set of normalized alignment errors.
Expanding on Equation 3 on 2 axes, the total coupled power P at the output fiber can be approximated from the total power Pmax in a Gaussian form with the two beam alignment errors in the coupling space as follows:
log P=log Pmax−Xuθx2−2A sin(ωθt)Xuθy−A2 sin2(ωθt)−Xuθy2−2B cos(ωθt)Xuθy−B2 cos2(ωθt)
This characteristic equation governs the relationship of detected power and the control of two orthogonal axes with a single dithering frequency, ωθ/(2π), where a sine signal with amplitude A is injected into Xuθx and a cosine signal with amplitude B is injected into Xuθy, where Xuθx and Xuθy are alignment errors which need to be corrected.
To yield constant output power at alignment, the amplitudes A and B of the dithers are made identical, i.e., A=B, in the coupling space. When errors Xuθx and Xuθy are zero, the sine and cosine dithering in the two axes results in the following:
log P=log Pmax−A2
In this equation, the response in power coupled through the system is constant. As shown in
When A is not equal to B, the coupling power will vary periodically with time because the distance that the dithering beam is away from the optical center is no longer a constant. When errors Xuθx and Xuθy are zero, the sine and cosine dithering in the two axes results in the following:
According to the invention, to excite a frequency modulation signal from a constant power dither mode, the values A and B are set unequal. From this equation, the power coupled through the system varies at the rate of two times the applied dither, cos(2ωθ t), with the modulation amplitude proportional to A2−B2.
For two-mirror systems, two dithers at frequencies ωθ and ωP, are used for solving four alignment errors. They are independent and their dither amplitudes of cosine or sine can be separately set to produce the modulations at either 2ωθ or 2ωP. The modulation depth, A2−B2, can also be predetermined by their relative amplitudes of four oscillations, cos(ωθ t), sin(ωθ t), cos(ωP t), and sin(ωP t) as a set of scaling factors in calibration. For example, to excite a frequency modulated signal from the constant power mode, the relative amplitude, A/B, of a corresponding dither pair will need to change from one to a non-one value.
To create a bi-value coding function such as G(nΔt)=[0 0 0 1 1 1 0 1 0 1], where Δt is the time interval between code symbols and n=0, 1, 2, . . . n, the binary sequence can be represented by alternating two frequencies, 2ωθ and 2ωP, resulting from their change in corresponding dither amplitude offset in time, where 2ωP represents “1” and 2ωP represents “0”. To create a multi-value coding function, the actual dither frequency can also be changed in time in addition to the relative dither amplitude change, as long as the ratio relationship among the averaging frequency, ωo, and two dither frequencies, ωθ, ωP, remains constant. Let say ωo, ωθ, and ωP or (2πfo, 2πfθ, 2πfP) are in the ratio of 1:2:3, respectively, then (fo, fθ, fP) can be set at (500 Hz, 1000 Hz, 1500 Hz) or (520 Hz, 1040 Hz, 1560 Hz) or other sets with the same ratio. In this example, the four resulting bases, 2000 Hz, 2080 Hz, 3000 Hz, and 3120 Hz, are available at different times for coding modulation.
Another method to excite a frequency modulation signal from a constant power dither mode is to add a constant phase (time) delay between cosine and sine dither in the two axes. It leads to the same effect even when their dither amplitudes are equal, A=B. With the phase delay, θd, between sine and cosine dithering injected when Xuθx and Xuθy are equal to zero, log P can be expressed as follows:
In this equation, the power coupled through the system varies at the rate of two times the applied dither, sin(2ωθt+φd), with the modulation amplitude proportional to sin(φd).
In summary, the objective of the present invention is to excite in-band signal with unique frequency signatures. This is done by orbiting the beam elliptically about the optical center. With unequal distances at two orthogonal axes, the coupling power at the output can be modulated at the frequency twice of the dither. There are two methods to make the optical beam trajectory elliptical about the optical center when the alignment errors=0 (excluding the known misalignment from dithering).
These two frequency modulation methods require a constant offset to be injected into either the amplitude of the cosine or the sine dither, or the phase delay between the cosine and the sine dither. These offset values set the modulation depth that can be predetermined in calibration and switched on or off according to the coding requirements. The accuracy of modulation depth is not necessary, provided the power change (AC) is strong enough for the detection circuit to pick up the frequency component. One great advantage of frequency modulation is its immunity to power variation. By offsetting the center of dithering from the optical center of the coupling fiber (e.g., shifting the optical center in any direction from the center shown in
It has been shown that the modulated frequency is directly related to the dither frequency. Therefore, the modulated frequency can be controlled by changing the dither frequency under the stated condition without affecting the alignment algorithm, as long as the ratio relationship among f1:f2:f3 are kept constant. The invention is presently implemented using sine and cosine signals at two frequencies for the four dithers; the averaging frequency, f1, and two dither frequencies, f2, f3, are set in the ratio 1:2:3, respectively. For coding schemes required of multiple values, as shown in
The invention has been explained with reference to specific embodiments. Other embodiments will be evident to those of skill in the art. It is therefore not intended that the invention be limited, except as indicated in the appended claims
The present application claims benefit under 35 USC 119(e) of U.S. provisional Application No. 61/560,393, filed on Nov. 16, 2011, entitled “IN-BAND SIGNALING IN OPTICAL CROSS-CONNECT SWITCH USING FREQUENCY MODULATION,” the content of which is incorporated herein by reference in its entirety.
Number | Date | Country | |
---|---|---|---|
61560393 | Nov 2011 | US |