This invention relates to optical devices and systems and, in particular, to the thermo-optic behavior of optical paths within such devices and systems.
Optical devices are sensitive to changes in temperature. For example, the output wavelength, the optical power output and the current threshold of a semiconductor laser are sensitive to temperature. Similarly, the effective refractive indices of optical modes in a semiconductor or glass waveguide also change with temperature. Typically, optical devices and systems are designed to account for such thermally-induced shifts, at least in those device/system parameters that are the most important for proper performance of the device/system.
Dense wavelength divisional multiplexed (DWDM) systems boost information-carrying capacity by employing multiple sources of differing wavelength to broadcast multiple signals over a single fiber. As the density of the fiber channels increases, the requirements of wavelength stability of each channel becomes more stringent. Currently, DWDM systems use channels spaced apart by 50 or 100 GHz. To achieve wavelength stability over a 25-year system lifetime, optical sources need wavelength stabilization. One way to provide such wavelength stabilization is by controlling the thermo-optic behavior of the system components over an operating temperature range ΔT.
In a DWDM system, the channel wavelengths are packed together at minimal spacing. Therefore, any significant drift in the output wavelength of the lasers (used as carrier signal sources) poses serious problems. One source of wavelength drift is aging of the lasers. Wavelength changes due to aging can be corrected by changing the temperature of the laser by a thermoelectric cooler/heater (TEC). Although the wavelength of each laser can be controlled by an etalon used as a frequency discriminator, the optical path length of the etalon is also temperature sensitive. Thus, changing the temperature of the laser might also change the temperature of the etalon if the two devices are located in the same package. Nevertheless, other phenomena can also affect the temperature of the etalon and hence its optical path length. For example, (1) aging of the temperature control circuit used to maintain the laser at a predetermined temperature and at a predetermined output wavelength, and/or (2) the temperature gradient produced across the etalon because the TEC is typically located on the base of the etalon could also affect the temperature of the etalon.
Accordingly, there is a need for controlling the thermo-optic behavior of an optical path within optical devices and over a temperature range. There is also a need for an optical etalon used as wavelength discriminator that is essentially temperature insensitive over the temperature operating range of the corresponding optical system.
In accordance with one aspect of the invention, a method of controlling the thermo-optic behavior of an optical path over a range of temperatures ΔT comprises the steps of determining a figure of merit (FoM) (fractional change in optical pathlength with respect to temperature) for the optical path and including in the path an optical etalon of NaBi(Mo1-xWxO4)2 crystalline material that enables the conditions specified by the FoM to be satisfied. The NaBi(Mo1-xWxO4)2 (sodium bismuth molybdate-tungstate) crystalline material is highly transparent at a wavelength of radiation propagating in the path, and has a coefficient of thermal expansion (CTE) and a refractive index n such that the CTE and dn/dT of the etalon compensate one another over a temperature range ΔT. In one embodiment, the CTE and dn/dT of the etalon compensate one another to perform frequency discrimination that is essentially temperature insensitive over that range ΔT.
In accordance with another aspect of our invention, a semiconductor device such as an apparatus, subassembly, subsystem, system comprises an optical path over which radiation at a wavelength propagates and an optical etalon of NaBi(Mo1-xWxO4)2 crystalline material disposed in the path that enables the conditions specified by the FoM to be satisfied. The NaBi(Mo1-xWxO4)2 crystalline material is highly transparent at a wavelength λ of radiation propagating in the path and has a coefficient of thermal expansion (CTE) and refractive index n such that the CTE and dn/dT are mutually adapted to satisfy the specifications upon the FOM over a temperature range ΔT.
In the following detailed description, reference is made to various specific embodiments in which the invention may be practiced. These embodiments are described with sufficient detail to enable those skilled in the art to practice the invention, and it is to be understood that other embodiments may be employed, and that various structural, logical and electrical changes may be made without departing from the spirit or scope of the invention.
The term NaBi(Mo1-xWxO4)2 (sodium bismuth molybdate-tungstate) is intended to include not only elemental NaBi(Mo1-xWxO4)2 but NaBi(Mo1-xWxO4)2 with other trace metals or in various alloyed combinations with other metals as known in the optical, electronic, and semiconductor industry, as long as the optical properties of the NaBi(Mo1-xWxO4)2 remain unchanged.
Referring to the drawings, where like elements are designated by like reference numerals,
The source 12 may include an active device, for example a semiconductor laser, or a passive device, for example an optical waveguide through which an optical radiation signal propagates. Alternatively, the source 12 may include an object from which optical radiation is reflected or scattered, or a combination of active and passive devices. Similarly, the utilization device 14 may include a photodetector, an optical receiver, an optical waveguide, an optical isolator, an optical coupler or multiplexor, a piece of terminal equipment, or a combination of them. The transmission medium 19 may include, for example, an air path, an optical fiber, or an integrated optical waveguide (as in the planar waveguides of silicon optical bench or semiconductor technology, for example).
A typical optical transmitter 90 that incorporates some of the components of
Referring back to
Thus, the optical etalon operates to filter out signals at wavelengths other than those that are coincident, or nearly so, with the maxima in the etalon transmission characteristic, which may be used to stabilize the wavelength of the source 12. Nevertheless, an etalon may be subjected to changes in temperatures that cause the transmission characteristic to shift, as shown in
In accordance with one embodiment of the present invention, the change in optical path length through the NaBi(Mo1-xWxO4)2 etalon due to thermal expansion is balanced, or nearly so, by the temperature-induced change in its reflective index given by dn/dT, so that the NaBi(Mo1-xWxO4)2 etalon is made to be essentially temperature insensitive. The balancing is expressed using the equation for optical pathlength L0 given by equation (1):
L0=nL (1)
wherein:
L0=optical pathlength of etalon;
n=refractive index; and
L=length of the sample
and where the optical path in this case is to be only the path segment defined by the etalon itself (not the entire path 11 shown in
Since, by definition, the coefficient of thermal expansion (CTE) is defined as:
CTE=(1/L)(dL/dT) (3)
it results that
dL0/dT=nL[CTE+(1/n)(dn/dT)] (4)
Finally, we define a figure of merit FoM as the fractional change in optical pathlength with respect to temperature as follows:
FoM=(1/L0)(dL0/dT) (5)
and substituting equations (1) and (4) into equation (5) we obtain:
FoM=CTE+(1/n)(dn/dT) (6)
which has units of ppm/K (i.e., parts-per-million per degree Kelvin). For the crystalline material of the etalon to be temperature insensitive, FoM must essentially equal zero (FoM≅0), which reduces equation (6) to:
CTE=−(1/n)(dn/dT) (7)
Thus, in the ideal case, the CTE and (1/n)(dn/dT) of the crystalline material should be of the same magnitude and of opposite sign. Depending on system considerations, however, less than perfect equality may be acceptable. Accordingly, the present invention is not limited to a temperature insensitive etalon characterized by an FoM which is essentially equal to zero (FoM≅0), and the invention contemplates a relatively temperature insensitive etalon characterized by a “small” FoM, that is an FoM which is within the range of about [−2, 2] (FoM ∈[−2, 2] or ˜|FoM|<2). In addition, the material should have high transparency over a predetermined wavelength range of operation ΔL of the etalon and dn/dT should be relatively insensitive to temperature and wavelength; i.e., d/dT(dn/dT) and d/dλ(dn/dT) should be essentially constant over the operating range of interest.
Optical Etalon Preparation
According to an embodiment of the present invention, crystals of NaBi(Mo1-xWxO4)2 (sodium bismuth molybdate-tungstate) in tetragonal scheelite phase were grown from NaBi(Mo1-xWxO4)2 molten liquid using the Czochralski growth technique, which is commonly used to produce large, high quality, single crystal sample of congruently melting oxides. Starting materials were prepared by grinding stoichiometric mixtures of alkali carbonate with bismuth oxide, tungsten oxide and molybdenum oxide. High purity starting materials, typically 5N, were used. After grinding, the powder was pressed to 10,000 psi in an isostatic press. Starting materials were placed in a platinum-lined boat and heated slowly to about 550° C. in a box furnace to react the carbonate. The 550° C. temperature is well below the melting temperature of the solid solution samples.
Using the above starting materials in an RF-heated Czochralski crystal growth furnace, crystals of NaBi(Mo1-xWxO4)2 with a diameter of about 20 mm and a weight of about 150 g have been grown using an iridium-wire to initiate growth. The lower two-thirds of a typical boule is composed of a few large grains. Melting temperatures increase from 865° C. for the molybdate to 930° C. for the tungstate. These low melting temperatures indicate that the crystals could be grown in air using platinum crucibles although iridium crucibles and N2/1.8% O2 atmospheres have been used for growth experiments carried out so far.
Samples of NaBi(Mo1-xWxO4)2 with values of x={0, 0.05, 0.10, 0.15, 0.25, 0.50 and 1.0} were cut from crystalline sections of the boules to make etalons. Crystals were oriented with the c-axis parallel to the optical axis to within 2° using Laue diffraction. Rectangular solids of about 3–4 mm on a side were prepared with 1–2 mm thickness. Opposing faces were polished flat and parallel using standard diamond polishing techniques. Values of FoM data measured along the c-axis are given in Table 1 below:
Results and Conclusion
Samples of NaBi(Mo1-xWxO4)2 with values of tungsten (W) percentage x={0, 0.05, 0.10, 0.15, 0.25, 0.50 and 1.0} were obtained as described above. Subsequently, transmission characteristics of each etalon were measured by passing 1549 nm to 1551 nm light from a tunable external cavity laser through the etalon and sensing it with a p-i-n detector coupled to a transimpedance amplifier. Transmission characteristics of a NaBi(Mo1-xWxO4)2 sample for which x=0.25 are shown in
As illustrated in
Shift in wavelength of an etalon transmission spectrum for a given change in temperature is a “bottom line” test of a temperature insensitive etalon. Quantitative comparison of a NaBi(Mo1-xWxO4)2 etalon and one of fused silica or LiCaAlF6 can be made using data of
δL0=L0*FoM(T)*δT (8)
Integrating equation (8) and assuming small change in L0 (T),
Using a linear fit of data from FIG. 4,
FoM=(dFoM/dT)*(T−T0) (10)
in which T0 is the temperature at which FoM=0.
Substituting this linear form of FoM given by equation (10) into equation (8) gives:
δL0=L0*(dFoM/dT)*({overscore (T)}−T0)*ΔT (11)
in which {overscore (T)} and T0 are average temperature (T1+T2)/2 and change in temperature (T2−T1), respectively.
Putting data into equation (11), average wavelength=1550 nm, FoM slope=0.028 ppm/K2, T1=15° C. and T2=35° C. (so that average temperature is 25° C. and the temperature change ΔT is 20° C). From
The NaBi(Mo1-xWxO4)2 etalons of the present invention show superior temperature insensitivity of the material with x=0.25, compared to fused silica and LiCaAlF6 etalons. For the 15–35° C. applications in wavelength stabilizers, variations of transmission characteristics of NaBi(Mo1-xWxO4)2 etalons are expected to change no more than 5.5 pm, an amount corresponding to a small 1.4% of a 50 GHz-channel spacing. Thus, NaBi(Mo1-xWxO4)2 etalon transmission characteristic can be considered temperature independent.
While the invention has been described and illustrated with reference to specific embodiments, the present invention is not limited to the details of the specific embodiments. Accordingly, the above description and drawings are only to be considered illustrative of exemplary embodiments which achieve the features and advantages of the present invention. Modifications and substitutions to specific process conditions and structures can be made without departing from the spirit and scope of the present invention. Accordingly, the invention is not to be considered as being limited by the foregoing description and drawings, but is only limited by the scope of the appended claims.
Number | Name | Date | Kind |
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3381225 | Alfeev | Apr 1968 | A |
4749254 | Seaver | Jun 1988 | A |
5245689 | Gualtieri | Sep 1993 | A |
6486999 | Ackerman et al. | Nov 2002 | B1 |
Number | Date | Country | |
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20030128990 A1 | Jul 2003 | US |