The present invention relates to a variable optical attenuator (VOA) device, and more particularly to a VOA incorporating hollow core optical waveguides formed in a semiconductor substrate.
Telecommunication and data networks are increasingly being implemented using optical components. To enable the power of an optical beam to be reduced in a controlled manner various types of variable optical attenuator (VOA) have been developed. In particular, VOAs are used as a convenient way of providing power equalisation in optical fibre networks and the like.
WO01/75503 describes a known VOA device in which a light beam is coupled from an input waveguide to an output waveguide via an optical path that includes a region in which the beam propagates through free space. A beam occluding MEMS shutter is located adjacent the free space gap and linear movement of the shutter into, and out of, the path of the beam provides controllable beam attenuation. VOA devices are also known in which a surface micro-machined shutter is provided in a free space region between solid core waveguides. A disadvantage of such devices is the requirement to provide a relatively large amount of shutter travel to provide the required attenuation. Devices of this type are thus relatively power hungry, and dispersion effects associated with the region of free space propagation can increase optical losses.
It is also known, for example see U.S. Pat. No. 4,516,827, U.S. Pat. No. 5,915,063 and U.S. Pat. No. 6,137,941, to provide VOA devices in which light is coupled from an input optical fibre to an output optical fibre via reflection from a reflective surface. In such devices, movement (e.g. tilting) of the reflective surface provides control over the amount of light coupled from the input optical fibre to the output optical fibre. Similar devices formed using solid core or “rib” input and output waveguides are also known.
Although reflective VOA devices as described in U.S. Pat. No. 4,516,827, U.S. Pat. No. 5,915,063 and U.S. Pat. No. 6,137,941 are typically less power hungry than shutter based devices of WO01/75503, the optical fibres have to be aligned with respect to the reflective surface with a high degree of accuracy. In order to ensure accurate control of beam attenuation it is also necessary to provide accurate control of movement of the reflective element. Furthermore, the robustness of such devices can be low and any mechanical shock can cause misalignment of the reflective element to the optical fibre thereby reducing device performance.
It is an object of the present invention to mitigate at least some of the aforementioned disadvantages to provide an improved VOA device.
According to a first aspect of the invention, a variable optical attenuator device comprises a first optical waveguide, a second optical waveguide and at least one moveable reflective element having a variable orientation with respect to at least one of said first and second optical waveguides, wherein the device is arranged such that, in use, the optical beam output by the first optical waveguide is reflected from the at least one moveable reflective element and the orientation of the at least one moveable reflective element determines the efficiency with which the optical beam is coupled into the second optical waveguide, characterised in that the first and second optical waveguides are hollow core optical waveguides.
The device of the present invention thus uses the orientation (i.e. the position or angular alignment) of the moveable reflective element to control the efficiency with which light is coupled from the first optical waveguide to the second optical waveguide. As described in more detail below, the device can thus provide control over the amount of light coupled from the first optical waveguide into the fundamental mode of the second optical waveguide thereby allowing the optical attenuation to be varied.
The VOA device of the present invention may be a standalone component, or may form part of a hollow core planar light circuit (PLC) of the type described in PCT patent application GB2003/000331. In a PLC configuration, the use of hollow core optical waveguides to guide light to and from the coupling means will remove the fibre end reflections that are typically associated with the optical fibre or rib waveguide devices of the prior art. Hence, index matching gels or epoxies, or antireflection coatings are not required on the faces of the first and second waveguides and hence the device is cheaper to fabricate. Furthermore, the use of hollow core optical waveguides allows the device to handle higher optical power.
It should be noted that when hollow core optical waveguide structures are produced, the hollow core is likely to fill with air. However, this should be seen in no way as limiting the scope of this invention. The hollow core may contain any fluid (for example a liquid or an inert gas such as nitrogen) or be a vacuum. The term hollow core simply means a core which is absent any solid material. Furthermore, the terms “light” and “optical” are used herein to refer to any electromagnetic radiation having a wavelength from the deep ultraviolet to the far infra-red. In fact, a skilled person would also appreciate that the present invention could be implemented for use with almost any wavelength of radiation; for example microwave or x-ray radiation.
Advantageously, the at least one moveable reflective element has a controllable angular alignment with respect to at least one of said first and second optical waveguides. In other words, a VOA is provided that comprises a first optical waveguide, a second optical waveguide and coupling means for controllably coupling light from the first optical waveguide to the second optical waveguide, the coupling means comprising a moveable reflective element having a controllable angular orientation with respect to at least one of said first and second optical waveguides, wherein the first and second waveguides are hollow core optical waveguides. A device of the present invention can thus use rotation of a moveable reflective element to control the coupling of light from the first optical waveguide to the second optical waveguide.
Advantageously, the device is arranged such that, in use, variation of the angular orientation of the moveable reflective element produces substantially no lateral displacement of the reflected light beam with respect to the second hollow core optical waveguide. In other words, the reflected optical beam stays substantially centred on the aperture of the second hollow core optical waveguide during operation. In such an arrangement, substantially all of the light will be coupled into the second hollow core optical waveguide and the angular orientation of the reflective element is used to control the angle of incidence of the light with respect to the second hollow core optical thereby controlling the optical modes of the second hollow core optical waveguide into which the beam is coupled. Alternatively, the device may advantageously be arranged such that lateral displacement of the beam with respect to the centre of the input aperture of the second hollow core optical waveguide is also provided. Any such lateral displacement will control the total amount of light that is coupled into the second hollow core optical waveguide; i.e. by an aperture type effect.
The at least one moveable reflective element may also or alternatively have a controllable position with respect to at least one of said first and second optical waveguides. In other words, a change in the position of the moveable reflective element (e.g. linear translation of the element) may be used to steer the optical beam toward the entrance of the second optical fibre from a different angle and/or to a different lateral position.
Advantageously, the first and second optical waveguides are formed in a common substrate. Forming the first and second optical waveguides in a common substrate allows accurate alignment of the optical waveguides with respect to one another.
The moveable reflective element may also be advantageously formed from, or aligned in, the common substrate. For example, the moveable reflective element may advantageously comprise a micro-electro-mechanical system (MEMS) component formed monolithically in the common substrate. In this manner, the MEMS component of the moveable reflective element can be formed in the same process as the hollow core waveguides thereby providing a simple way to produce a VOA without requiring additional processing or device assembly. Alternatively, the moveable reflective element may conveniently comprise a MEMS component hybridly attached to the common substrate. In particular, the moveable reflective component may advantageously be held in alignment in an alignment slot formed in the common substrate.
In this manner, the present invention alleviates the problem found with prior art VOA devices of the type described in U.S. Pat. No. 4,516,827, U.S. Pat. No. 5,915,063 and U.S. Pat. No. 6,137,941 of having to align optical fibres precisely to a moveable reflective element. The invention thus allows the first and second optical waveguides to be formed in a manner that ensures they remain in alignment with the moveable reflective element.
Conveniently, the moveable reflective element comprises a reflective coating. The material providing the reflective coating may be a layer of metal such as gold, silver or copper. Metals will exhibit a suitably low refractive index over a wavelength range that is governed by the physical properties of the metal; standard text books such as “the handbook of optical constants” by E. D. Palik, Academic Press, London, 1998, provide accurate data on the wavelength dependent refractive indices of various materials. In particular, gold has a refractive index less than that of air at wavelengths within the range of around 500 nm to 2.21 μm; this encompasses wavelengths within the important telecommunications band of 1400 nm to 1600 nm. Copper exhibits a refractive index less than unity over the wavelength range of 560 nm to 2200 nm, whilst silver has similar refractive index properties over a wavelength range of 320 nm to 2480 nm.
A layer of metal may be deposited using a variety of techniques known to those skilled in the art. These techniques include sputtering, evaporation, chemical vapour deposition (CVD) and (electro or electro-less) plating. CVD and plating techniques allow the metal layers to be deposited without significant direction dependent thickness variations. Sputtering using a rotating sample and/or source would also provide more even coverage. Plating techniques are especially advantageous as they permit batch (i.e. multi-substrate parallel) processing to be undertaken. In particular, electro-less plating is preferred for conformality.
A skilled person would recognise that adhesion layers and/or barrier diffusion layers could be deposited prior to depositing the layer of metal. For example, a layer of chrome or titanium could be provided as an adhesion layer prior to the deposition of gold. A diffusion barrier layer, such as platinum, may also be deposited on the adhesion layer prior to gold deposition. Alternatively, a combined adhesion and diffusion layer (such as titanium nitride, titanium tungsten alloy or an insulating layer) could be used.
The reflective coating may also be provided by a stack comprising layers of any one or more of metal, dielectric, or semiconductor; for example dielectric stacks or metal-dielectric stacks. The reflective properties of any multiple layer stack may also be dependent, to some extent, on the properties of the material on which they are deposited. Hence, the material of the substrate may also form a base layer, and be a part of, any such multiple layer stack.
In the case of a dielectric stack, a person skilled in the art would recognise that the optical thickness of a dielectric layer(s) provides an interference effect that will determine the reflective properties of the coating. The dielectric material may be deposited by CVD or sputtering or reactive sputtering. Alternatively, a dielectric layer could be formed by chemical reaction with a deposited metal layer. For example, a layer of silver could be chemically reacted to produce a thin surface layer of silver halide.
If a reflective coating is provided, the number of materials that can be used to form the substrate is greatly increased. For example, plastic waveguide devices may be fabricated by techniques including hot embossing or injection moulding. The technique involves forming a master. The master may be formed in semiconductor material, such as silicon, using a deep dry etch. Alternatively, the master may be formed by electro deposition of layers using the LIGA or UV LIGA technique. Once the master is formed, the hollow core waveguides may be formed in a plastic substrate by stamping (i.e. pressing) or hot stamping. A master may also be fabricated which is suitable for forming a sub-master that can be used to form the hollow core waveguides in the plastic substrate. Hollow plastic waveguides can thus be formed and coated with a reflective coating. The plastic hollow core waveguides that carry the reflective coating may also be formed from plastic or a polymer. For example, the hollow core waveguides could be formed using a lithographic process on a “spin-on” polymer coating (e.g. SU8 available from Microchem. Corporation)
Advantageously, the reflective element may comprise at least one deformable mirror. Deformation of the mirror can be used to alter the angular orientation of the mirror surface with respect to at least one of the first and second hollow core optical waveguides. Deformation of the mirror can be used to change its focal length and/or to laterally displace the reflected beam with respect to the second hollow core optical waveguide.
Advantageously, at least one additional reflective element having a fixed angular orientation is provided; the optical beam is then be reflected from both the at least one moveable reflective element and the additional reflective element. The provision of additional reflective elements allows various optical circuits to be implemented. For example, a circuit of the type described in
Conveniently, further hollow core optical waveguides are provided such that light (i.e. the optical beam) is substantially guided from the first optical waveguide to the second optical waveguide. In other words, the device is arranged such that the optical beam is substantially guided through the whole VOA device. This is advantageous over prior art devices that have a free space gap because guiding light between the first and second optical waveguides within hollow core waveguide reduces unwanted beam attenuation from free-space dispersion. The device is especially advantageous when used with small diameter beams where dispersion effects are proportionally greater.
The first optical waveguide is preferably arranged to guide radiation propagating in the fundamental mode to the coupling means. For example, the first optical waveguide may be dimensioned to preferentially propagate radiation in the fundamental mode (i.e. higher order mode are highly attenuated by the waveguide). Alternatively, the first optical waveguide may support multiple modes but light is coupled into it in a manner which excites only the fundamental mode.
Advantageously, the second optical waveguide is dimensioned to preferably support fundamental mode propagation; in other words, the waveguide is arranged to have high attenuation coefficients for higher order modes. In such a device, light directed to the second optical waveguide will either be (i) coupled into the fundamental mode of the waveguide, (ii) coupled into a higher order mode of the waveguide and thus attenuated or (iii) reflected away from the waveguide. Varying the angle of incidence of the light on the entrance aperture of the second optical waveguide (i.e. by changing the angular orientation of the moveable reflective element) thus controls the amount of light coupled into the fundamental mode of the waveguide.
Alternatively, the second optical waveguide may advantageously be dimensioned to support the propagation of multiple optical modes (i.e. arranged to have low attenuation coefficients for two or more optical modes). In this case, the angular orientation of the reflective element again controls the amount of light coupled into the fundamental mode of the second optical waveguide. Light not coupled into the fundamental mode of the second optical waveguide is either coupled into the higher order modes of the waveguide or reflected away from the waveguide. Attenuation can be achieved by coupling the second (multi-mode) optical waveguide to a single mode waveguide such as a single mode optical fibre. Only radiation propagating in the fundamental mode will subsequently propagate without significant attenuation in the single mode fibre. The power in any higher order modes will either be dissipated within the second optical waveguide (i.e. not enter the single mode optical fibre) or be attenuated within the single mode optical fibre.
The VOA device of the present invention may also be arranged to operate in multi-mode optical fibre systems. In one such arrangement, the second optical waveguide is arranged to be capable of propagating higher order modes than an output multi-mode optical fibre coupled thereto. For example, the second hollow core optical waveguide may be arranged to propagate light in N modes whilst an associated output multi-mode optical fibre is arranged to propagate light in M modes. If M is less than N, any optical power propagating in the second hollow core waveguide in modes of higher order than M will not be coupled into the output multi-mode optical fibre (and/or will be highly attenuated by the output multi-mode optical fibre) and the power contained therein will hence be dissipated.
In this manner, changes in the angular orientation of the moveable reflective element allow the optical power contained in modes of a higher order than M to be controlled thereby controlling the attenuation imparted by the device. If M is less than or equal to N, attenuation can also be achieved by altering the angular orientation of the reflective element sufficiently to control the total amount of light coupled into the second optical waveguide. This so-called aperture effect allows the amount of light not entering the second hollow core optical waveguide to be controlled.
The first optical waveguide and/or the second optical waveguide may advantageously comprise a tapered waveguide section. In other words, the cross-sectional dimensions of the hollow core optical waveguide may be varied along the length of the waveguide. This would allow, for example, the entrance aperture of the second optical waveguide to have a different cross-sectional dimension to a portion of the second optical waveguide from which radiation is coupled into an output optical fibre. As described below, the dimensions of the waveguide alters the coupling efficiency of a beam having a given lateral or angular misalignment. Hence, tapered waveguides can provide control over device attenuation for a given angular misalignment.
Advantageously, the hollow core optical waveguides of the device (e.g. the first optical waveguide and/or the second optical waveguide) have a substantially rectangular (which herein shall include square) cross-section. A square, or almost square, cross-section hollow core waveguide provides a waveguide in which the losses are substantially polarisation independent and is preferred when the polarisation state of the light is unknown or varying. Dimensioning the waveguide to have a depth greater than its width increases polarisation dependent losses, but may be advantageous when the polarisation state of light propagating through the waveguide is known. Although rectangular cross-section waveguides are convenient, many alternative waveguide shapes could be employed. For example, circular, elliptical, diamond shaped or v-shaped waveguides could be provided.
The internal surface of the hollow core waveguides (e.g. the first optical waveguide and/or the second optical waveguide) may conveniently comprise a reflective coating. The reflective coating applied to the internal surface of the hollow core waveguide may be a metal or stacks of dielectric and/or metal and/or semi-conductor of the type described above. Any coating applied to the internal surface of the hollow core waveguide may be the same as, or different to, any coating applied to the reflective element.
Advantageously, a first optical fibre attachment means is provided to hold in alignment an input optical fibre, the input optical fibre being arranged to couple light into the first optical waveguide. A second optical fibre attachment means may also be conveniently provided to hold in alignment an output optical fibre, the output optical fibre being arranged to receive light from the second optical waveguide.
The optical fibre attachment means may comprise an alignment slot formed in the device that is arranged to clamp an optical fibre in place thereby allowing optical connection to the first and/or second optical waveguides of the device. In the case of solid core fibres, stepped optical fibre alignment slots may be provided to hold both the buffer layer and the cladding. The alignment of the core of a hollow core optical fibre with the hollow core waveguide of the VOA may also be achieved; for example by clamping the optical fibre cladding in a alignment slot using spring clips or micro-grippers. The use of hollow core optical fibres would be especially advantageous as the air core to air core connection would be free from any unwanted reflections.
To provide efficient coupling between the core of an optical fibre and the first and/or second optical waveguides, the cross-section of the hollow core waveguide should be appropriate for the cross-section of the optical fibre core. In the case of solid core fibres, leakage into the cladding means that the width of the mode carried by the fibre is actually greater than the core diameter; for example typically the 10 μm solid core of a single mode glass fibre has a total field width of around 14 μm diameter. If the mode width of the fibre is different to that of the hollow core waveguide, lensed fibres may be used so that the optical field is expanded or reduced as appropriate to enable light to be coupled to/from fibres with a different size core to that of the hollow core waveguide. Alternatively, discrete lenses (e.g. ball or GRIN rod etc) can be located in the substrate and used to reduce/expand the optical field from a fibre end as required. Fibre ends of solid core fibres may also be anti-reflection coated to reduce optical losses.
Advantageously, the second optical fibre attachment means is arranged to receive a single mode optical fibre. In this manner, and as described above, if the second optical waveguide is dimensioned to support multi-mode propagation, angular movement of the moveable reflective element changes the mode into which light is coupled. Light in the fundamental mode is efficiently coupled into the fundamental mode of the single mode optical fibre; higher order modes are dissipated in the second optical waveguide and/or within the single mode optical fibre.
The device may advantageously comprise a beam dump means. For example, a circular or spiral hollow core waveguide structure could be used to dispose of waste light that is not coupled into the second optical waveguide. This reduces the possibility of noise being introduced due to multiple reflections of waste light.
Advantageously, the device is formed in a substrate comprising semiconductor material. Semiconductor substrates, such as Silicon, can be etched to provide hollow core waveguides with high accuracy using micro-fabrication techniques. The substrate may advantageously comprise a multiple layer wafer; for example SiGe or silicon-on-insulator (SOI) or silicon-on-glass. A person skilled in the art would recognise that micro-fabrication techniques typically involve a lithography step to define a pattern, followed by an etch step to transform the pattern in to one or more layers on, or in, the substrate material. The lithography step may comprise photolithography, x-ray or e-beam lithography. The etch step may be performed using ion beam milling, a chemical etch, a dry plasma etch or a deep dry etch (also termed deep silicon etch). Micro-fabrication techniques of this type are also compatible with various layer deposition techniques such as sputtering, CVD and electroplating.
Although substrates that comprise semiconductor material can advantageously be used, the device could also be formed on a variety of alternative substrate. For example, quartz, silica or glass substrates could be used. Conveniently, the substrate used in the present invention can readily have semiconductor processing techniques applied thereto. It should be noted that although semiconductor processing techniques are, by definition, developed for use with semiconductor substrates they may also be advantageously applied to certain non-semiconductor substrates where the semiconductor properties of the substrate are not required.
Preferably the device is formed in an silicon-on-insulator (SOI) wafer. It should be noted that in the case of certain semi-conductor materials (including silicon) light may be input and/or output from the optical waveguides of the VOA in a direction parallel or normal (i.e. through wafer) to the plane defining the surface of the wafer.
Conveniently, a base portion and a lid portion are provided to form the hollow core waveguide structures of the device. Such an arrangement provides a convenient means of producing the hollow core waveguide and is described in more detail in PCT patent application GB2003/000331. Advantageously, the device is formed by a micro-fabrication technique such as deep reactive ion etching. Preferably, the hollow core optical waveguide are formed in the plane of the substrate; i.e. they are arranged to guide light in a plane substantially parallel to the plane of the substrate.
The invention will now be described, by way of example only, with reference to the following drawings in which;
Referring to
As described above, this type of arrangement requires precise alignment of the optical fibres and the reflective surface. Obtaining such alignment, and ensuring it is maintained during the operation life of the VOA, can prove complex and costly.
Referring to
The first and second hollow core optical waveguides 24 and 26 are dimensioned to support multi-mode propagation and are arranged to run parallel to one another along the substrate. A first solid core fundamental mode fibre (not shown) is used, possibly in conjunction with ball or GRIN lenses, to couple light into the fundamental mode of the first hollow core optical waveguide 24. This light then exits the first hollow core optical waveguide 24 and is coupled into the second hollow core optical waveguide 26 after reflection from a rotateable mirror 28 and a fixed mirror 30.
Rotation of the mirror 28 (i.e. variation of the so-called offset angle) alters the relative power coupled into each of the various modes that can be excited in the second (multi-mode) hollow core optical waveguide. Appropriate angular alignment of the mirror 28 permits all the optical power to be coupled into the fundamental mode, however any angular misalignment results in optical power being coupled into the various higher order modes.
A second solid core fundamental mode optical fibre (not shown) is provided to receive the light propagating in the second optical waveguide. However, light will only be coupled efficiently into the fundamental mode fibre from the fundamental mode of the second optical waveguide; the higher order modes are either not coupled into the fundamental mode fibre or are highly attenuated in the fibre such that the optical power contained therein is dissipated within the device. In this manner, controlling the amount of light that is coupled into the fundamental mode of the second hollow core optical waveguide can be seen to provide control over the optical power propagating in the second fundamental mode optical fibre. In other words, variation of the angular orientation of the mirror 28 controls the beam attenuation imparted by the device.
Rotation of the mirror 28 about a pivot point 31 is provided by a curved comb electrostatic arrangement comprising inter-digitated electrode elements 29. Although a central pivot point is shown, the pivot point may be located at any point along the mirror. Similarly, the actuation mechanism or mechanisms may be located to act at any point along the mirror. A skilled person would recognise that numerous alternative types of micro-electromechanical system (MEMS) components could be used to provide the required motion. For example, the MEMS actuation component may be electromagnetic, bimorph, piezoelectric, or an electro-thermal MEMS actuation mechanism (e.g. a bent beam arrangement). More detail on MEMS device actuation technologies and the associated fabrication techniques can be found in “Fundamental of Microfabrication” by Marc Madou, published by CRC Press (Boca Raton) in 1997; ISBN 0-8493-9451-1.
The power coupling efficiency into the various modes of a multi-mode hollow core waveguide is shown as a function of angular misalignment (∝θ) in
Referring to
In use, rotation of the rotateable mirror 28 is used to alter the angular misalignment of the beam to the straight section 44 of the second hollow core optical waveguide. In the device 40, the majority of the optical power which is not coupled into the fundamental mode of the straight section 44 of the second hollow core optical waveguide is coupled into the beam dump waveguide section 46.
Referring to
The reduced cross-sectional dimensions of the entrance of the second tapered optical waveguide 54 decrease the angular misalignment sensitivity but increase the lateral alignment sensitivity. In other words, the use of a smaller waveguide entrance provide a VOA having a reduced amount of beam attenuation for a given change in angular misalignment due to rotation of the mirror 28. It can thus be seen that selection of the hollow core waveguide dimensions can be used to select the amount of attenuation that is produced for a given mirror rotation.
It should be noted that although the optical arrangements described with reference to
Referring to
The inclusion of the further section of hollow core optical waveguide 104 ensures any optical losses that may be associated with free space propagation of light are reduced. Furthermore, forming the waveguides and mirrors on a single substrate increases the alignment accuracy that can be obtained. The VOA 90 may also be incorporated with other optical components (e.g. lasers, wavelength filters etc) on a single substrate to form a higher complexity planar light circuit.
It should be noted that the actual mirror movement required to vary the beam attenuation is actually quite small. The amount of movement is illustrated with reference to
Simple geometry allows the required mirror length (L) to be estimated to be at least √{square root over (2)} times the waveguide width (W). Therefore, the required amount of displacement of the mirror end that is necessary to fully attenuate the beam is simply given by √{square root over (2)}×λ. This assumes the mirror is √{square root over (2)} times the waveguide width (W) and is arranged to pivot about its centre. Hence, for light having a wavelength of 1 μm, the mirror ends need to move by only about 1.4 μm.
The VOA may also be arranged such that “re-imaging” of an input beam injected into the hollow core waveguide from an input optical fibre occurs in the vicinity of the entrance of the output optical fibre. The re-imaging phenomena is explained in more detail elsewhere, for example see PCT patent application GB2003/000331. In short, the hollow core optical waveguide structure to which the optical fibres are coupled may be formed so as to act as a multi-mode waveguide. Appropriately dimensioning the multi-mode waveguide produces various beam splitting and combining functions in which beams can be produced that are images of the input beam.
In particular, rectangular or square cross-section hollow multi-mode waveguides can be designed to provide re-imaging of symmetric, anti-symmetric or asymmetric optical fields by designing the length of the waveguide to have an appropriate relationship to its width and depth. In other words, the Gaussian input profile of a input beam is re-imaged (i.e. reproduced) after propagating a certain distance along a given waveguide. This effect also gives rise to beam replication; i.e. multiple images of the beam being formed a distances shorter than the re-imaging length. This effect is described previously in U.S. Pat. No. 5,410,625 and provides the basis for multi-mode interference (MMI) beam splitting devices.
As an example, a symmetric field in a square sectioned waveguide will have a re-imaging length is given by the square of the waveguide width over the wavelength of the propagating radiation. Re-imaging of the symmetric field occurs at the re-imaging length and multiples of the re-imaging length. In between the re-imaging points, beam replication points and points of maximum field expansion are found.
For the case of a 50.0 μm wide hollow waveguide and 1.55 μm radiation, the re-imaging length is thus 1.613 mm. The symmetric field would be re-imaged at this length and also at integer multiples of this length, i.e. 3.23 mm, 4.84 mm etc. For example, a TEM00 Gaussian input beam from a single mode optical fibre could be re-imaged at distances of 1.613 mm.
Alternatively, for the case of an asymmetric optical field, re-imaging occurs at eight times the length required for symmetric field re-imaging, i.e. at 12.09 mm for a 50.0 μm wide hollow waveguide. A mirror image of the asymmetric field is also formed at half this length i.e. at 6.05 mm. In particular, offsetting the input from the centre line of the multimode region provides an asymmetric input that is re-imaged at pre-determined distances along the guide at an equivalent offset on either side of the centre line.
In the case of a rectangular waveguide where the depth and width of the waveguide are substantially different, the re-imaging lengths associated with the two waveguide cross-sectional dimensions (e.g. depth and width) are themselves different. However, by arranging that the relationship between the dimensions of the rectangular hollow waveguide is such that re-imaging is produced at identical lengths for the particular width and depth, any field can be re-imaged. Thus, a symmetric field can be re-imaged in a hollow rectangular waveguide by arranging that the re-imaging lengths associated with axes of width w1 and w2 to be identical.
In
Referring to
It has been found that, although the re-imaging effect is based on the interference of multiple guided modes, the device may be arranged to benefit from the re-imaging effect despite the inclusion of a small free space region within the optical path through the device.
As the beam converges to, or diverges away from, a re-imaging point there is short distance over which there is no interaction with (i.e. no reflection from) the walls of the waveguide. In other words, no guiding is necessary a certain distance either side of a re-imaging point. It can be shown that this “non-guiding” length (zc) either side of a re-imaging point is approximately given by:
where λ is the wavelength of light and w is the multi-mode guide width (i.e. the width of the first and second hollow core optical waveguide).
The second point d2 is located the non-guiding length (zc) away from the third (re-imaging) point d3. Hence, the arrangement is such that the free space propagation from the first hollow core waveguide to the second hollow core waveguide does not have any detrimental effect on the re-imaging phenomena. A plurality of re-imaging points will thus also be formed along the second waveguide at multiples of the re-imaging length from the point d3. Light may be readily coupled in to an optical fibre with minimal optical loss at any of these re-imaging points.
Referring to
A first re-imaging point is located at position 208, and the mirror surface (when the mirror is in the non-deflected position) is located a multiple of the re-imaging distance away from position 208. Light is thus efficiently coupled from the first optical waveguide 200 to the second optical waveguide 202 in the manner described above.
Movement of the mirror 204 away from the non-deflected position toward position 204′ causes a lateral displacement of the beam that is incident on the second optical waveguide 202. In addition, the increased coupling efficiency associated with the re-imaging effect are also reduced; i.e. the beam is also broadened in the vicinity of the entrance aperture. The optical coupling efficiency thus reduces as the mirror 204 is moved in the direction 206. It can therefore be seen that lateral displacement of a reflective element can provide a similar VOA function described to that described above for angular displacement of a reflective element. In summary, angular and/or lateral movement of a reflective element may thus provide a VOA having the various advantages described above.
Number | Date | Country | Kind |
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0317522.1 | Jul 2003 | GB | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/GB04/03187 | 7/23/2004 | WO | 1/19/2006 |