The present disclosure relates generally to methods and apparatus for combining multiple laser beams to generate a single beam.
There are many applications in which the generation of a high power, high brightness laser beam is desired. In addition, it is desirable that such a beam be efficient in terms of its energy utilization and thermal dissipation.
One approach uses an optically-pumped, high-gain, rare Earth-doped optical fiber as a gain medium with a built-in guiding structure. This is designed to have a single transverse mode, which provides intrinsically robust optical properties so that the output beam divergence of a single fiber is limited by diffraction. It has also a high thermal dissipation rate due to a large surface-to-volume ratio. However, the available power from a single device is currently limited to a few kilowatts by deleterious nonlinear effects, such as stimulated light scattering and thermally generated nonlinearities, which are aggravated by the long internal propagation length of the fiber.
An alternative approach is to combine the outputs of multiple fiber lasers in a single beam, either at the target or at the source. In such approaches, it is beneficial to maximize the number of combined lasers, but that can be limited by a number of factors.
The embodiments described herein provide for increasing the number of laser outputs that may be combined to generate a single, more powerful laser beam. While the invention will be described in connection with certain embodiments, it is understood that it is not limited to these embodiments. To the contrary, the present invention includes all alternatives, modifications and equivalents within the scope of the embodiments disclosed.
Additional objects, advantages and novel features of the invention will be set forth in part in the description that follows, and in part will become apparent to those skilled in the art upon examination of the following or may be learned by practice of the invention. The objects and advantages of the invention may be realized and attained by means of the instrumentalities and combinations particularly pointed out in the appended claims.
The accompanying drawings provide visual representations which will be used to more fully describe various representative embodiments. They can be used by those skilled in the art to better understand the representative embodiments disclosed and their inherent advantages. The drawings are not necessarily to scale, emphasis instead being placed upon illustrating the principles of the devices, systems, and methods described herein. In these drawings, like reference numerals may identify corresponding elements.
The various methods, systems, apparatus, and devices described herein generally provide for the combining of multiple laser beams to produce a laser beam having increased power.
While this invention is susceptible of being embodied in many different forms, there is shown in the drawings and will herein be described in detail specific embodiments, with the understanding that the present disclosure is to be considered as an example of the principles of the invention and not intended to limit the invention to the specific embodiments shown and described. In the description below, like reference numerals may be used to describe the same, similar or corresponding parts in the several views of the drawings.
In this document, the term “configured” or the like may relate to the capacity of a device whether the device is in an operational or non-operational state. Configured may also refer to specific settings in a device that effect the operational characteristics of the device whether the device is in an operational or non-operational state. In other words, the hardware, software, firmware, registers, memory values, and/or the like may be “configured” within a device, whether the device is in an operational or nonoperational state, to provide the device with specific characteristics.
In addition, it should be understood that any figures that highlight any functionality and/or advantages, are presented for example purposes only. The disclosed architecture is sufficiently flexible and configurable, such that it may be utilized in ways other than that shown. For example, the steps listed in any flowchart may be re-ordered or only optionally used in some embodiments.
The present disclosure relates to techniques for generating a laser beam having an increased power. The techniques enable a laser beam to be generated by combining the outputs of multiple lasers, such as fiber lasers, into a single, more powerful beam. The limitations of prior approaches are overcome by superimposing a number of fiber lasers, each operating at different individual wavelengths, by means of a dispersive element, such as an optical grating.
It is known that a single array of N lasers of different wavelengths λ1, λ2, . . . , λN, can be combined. However, the value of N cannot be arbitrarily large since the physical space is limited and some degree of separation is needed between the different wavelengths. The present disclosure describes methods for combining two or more arrays having the same wavelengths or different wavelengths. In one embodiment, four times as many laser beams can be combined by superposition in a single beam to provide a beam with the same beam quality as that of a single beam but with increased power.
High power lasers have application in many areas such as material processing (welding, cutting, drilling, soldering, marking, surface modification, etc.), large-scale laser displays (RGB sources), remote sensing (e.g., with LIDAR), medical applications (e.g., surgery), fundamental science (e.g., particle acceleration in particle accelerators) and laser-induced nuclear fusion.
One approach combines the lasers at the source using a phased array architecture that provides a one- or two-dimensional array of lasers with time-varying output fields that are in near-synchrony. The on-axis beam intensity at the target is then determined by the geometric size of the array and the degree that it is filled by the sub-apertures (“fill factor”, expressed as a percentage). This approach is technically difficult because of the phasing requirement and, in applications where this would be important, suffers from loss of optical coherence in propagation through atmospheric turbulence.
An alternative approach overlays or superimposes the beams of a number of laser amplifiers so that all fill the same aperture. Beam superposition can be implemented either by coherent or incoherent techniques. In both approaches, the shape of the combined beam is identical to the shapes of the individual beams. Coherent beam combining (CBC), which sums beam amplitudes, is generally performed by using a number of master oscillator-injection-locked amplifiers as sources (so that their operating wavelengths are identical and output fields are coherent with respect to each other). CBC may also be performed in a tiled array configuration. In contrast, incoherent beam combining, which sums beam intensities, or powers, converts brightness by means of a device that responds to an internal degree of freedom, such as polarization or wavelength. Note, however, that in both cases, the total power in the output beam cannot exceed the sum of individual beam powers, by the law of conservation of energy. The present disclosure relates to incoherent beam combining via wavelength combining of beams, also known as spectral beam combining (SBC). SBC has the advantage over CBC of not requiring phase control (in which “optical path lengths” must be controlled typically to within a tenth of the wavelength), while wavelength control, which replaces phase control, is much easier to achieve and far less sensitive to vibrations and other sources of noise.
Therefore, in accordance with an embodiment of the present disclosure, light beams from multiple laser sources (“emitters”) are combined with ultra-high energy efficiency, almost complete polarization independence, and total phase and optical path difference insensitivity. The emitters are arranged in two or more one-dimensional arrays, operating at well-controlled distinct wavelengths. The light beams are combined by beam-superposition using a dispersive element, such as a diffraction grating, to provide a combined stable output beam of power equal to that of the total power of the free-running emitters and beam quality nearly equal to that of the single emitters. Each emitter produces near diffraction-limited coherent light of distinct controlled wavelength that, by means of a lens or corresponding optics, is transformed into a collimated beam that is incident upon the diffraction grating at a corresponding selected angle, to produce a single mutually shared diffracted beam. By utilizing a one-dimensional diffraction grating, first and second emitter arrays are located on opposing sides of the combined output beam, and the emitters are arranged such that all diffracted beams overlap to form the combined output beam.
In one example embodiment, emitter wavelengths are controlled by an external resonator in a Master Oscillator Power Amplifier (MOPA) configuration. As many as four, one-dimensional, emitter arrays may be combined. The four arrays are arranged, respectively, in the four quadrants of the half-space adjoining a two dimensional diffraction grating having a rectangular groove geometry.
In the apparatus of
where n=1, 2, . . . , N, and xn is the distance of the nth emitter 102 from the lens axis 110. The diffraction grating 104 may be tilted at an angle θ′ with respect to the direction of the output beam 112, so that the angles of incidence θn (measured with respect to the grating normal 114) are given by
where β is the tilt angle of the array of lasers 102. The corresponding angle of incidence 116 from the surface of the diffraction grating is π/2−β radians. For a reflective grating, the incident waves are diffracted by the grating in directions θn′ for each diffraction order m=±1, ±2, . . . , according to the grating equation
where d is the grating period, which equals the distance between neighboring grooves and λn is the operating wavelength of the nth laser. Equation (3) is interpreted in the following manner: For each incident beam of wavelength λn and direction θn a diffracted beam is formed for each integer value of m, provided that the predicted values of sin θn′ lie in the range between and including −1 and +1. Thus, it can be shown that the number of diffracted beams produced by an incident beam of a given wavelength and incident direction is finite, and can be either an odd or even number.
In other embodiments, a dispersive element other than a diffraction grating is used. For example, a quartz prism may be used. The dispersive element has the property that light of different wavelengths is diffracted by different amounts, allowing beams that have different wavelengths and are incident at different angles to be combined into a single output beam.
Equation (3) can be rewritten as
which indicates that, as traced on the surface of the diffraction grating, the output beam has m more wavelengths in a distance d than does the incident wave. Equation (3) also applies for a transmission grating.
Beam combining is accomplished by matching each incident direction θn with a corresponding wavelength λn so that all diffracted waves emerge at the same angle, denoted θ′, so that θ1′θ2′= . . . =θN′≡θ′, as determined by repeated application of Equation (3). Since |sin x|≤1, equation (3) shows that the product on the right-hand side must satisfy |m|λn<2d. This places upper limits on the order and wavelength and a lower limit on the grating period, d.
For example, in the so-called Littrow configuration, the diffracted wave retraces the incident wave, so that θ′=θ≡θL where
In an array, at most one amplifier can satisfy the Littrow condition exactly because of the requirement θn′=θn. However, if the Littrow condition is satisfied by any element (except approximately) the light will couple back either into the same laser, or into another
Choosing the diffraction order as m=−1, and rearranging equation (3), gives
Using
Thus, the quantity fB/d represents the ‘available array space’ and the ratio f/d represents the factor by which spatial spread is related to the corresponding spectral spread.
In terms of the emitter separation distance, s, the maximum number of array elements is given by
Equation (7) shows that in order to make N as large as possible it is beneficial to use a transform lens of large focal length and a short-period grating.
Assuming a grating having 1/d =1000 lines/mm, lens focal length f=1 m, E equal to a typical gain bandwidth of 50 nm (as for an Ytterbium-doped fiber amplifier), and assuming s=250 μm, this yields N≅200 elements in an array. The wavelength separation between neighboring elements is Δλs=s×(d/f)=B/N, which equals 25·10−11 m, or 0.25 nm for this example. In practice, each laser in the array emits light within a range of wavelengths, called the spectral width, or linewidth. In order to avoid mutual coupling (cross talk) between the lasers, the wavelength separation between adjacent lases should be larger than the linewidth, so that the spectra of adjacent lasers do not overlap significantly, since that may result in a pulsation instability. The permissible overlap would likely depend on the operating power level, which could more easily become an issue in high-power arrays. This will depend on factors such the operating wavelength, pump wavelength, and type of laser (diode or fiber laser, dopant in case of rare Earth fiber laser, etc.). The wavelength separation may be by measurement, for example.
The arrangement is possible when either array is designed such that the combined beam 214 emerges in the direction that is normal to the grating 212. The parts of the system above the indicated reflection plane, and below it, are mirror images of each other that share the same output beam. The same concept can be applied to a transmission grating.
In accordance with one embodiment, the available power in the output beam 214 is doubled by combining two arrays, as shown in
since θ′=0. The same equation holds for the lower system, where m=+1 and all θn<0.
In accordance with a further aspect of the disclosure, it is recognized that it is not necessary that the system be symmetric. Even if the beams of the upper array are combined into an output beam 214 that is not orthogonal to the grating 212, another array 206, emitting at the same wavelengths as array 202 can be matched to it to yield an output beam in the same direction. An asymmetric geometry may be preferable because, in the symmetric geometry, the two arrays can couple through specular reflection (i.e. ordinary reflection, which satisfies equation (3) by letting m=0). This is undesirable, as discussed above. The power levels of all lasers making up both arrays are not subject to constraint. Also, a different set of wavelengths may be used in each array. The values for the angles {tilde over (θ)}n associated with array 206 are selected first and then the wavelengths are calculated, dependent upon the angles.
In a general case, the angles of array 206 are denoted by {tilde over (θ)}n where {tilde over (θ)}n<0. In the case of an arbitrary shared direction θ′ of the output beam, the angles satisfy the relation
where the angles θn of array 202 satisfy equation (5). For efficient beam combining, the beams emerging from array 202 are configured to produce only a single diffraction beam (of order m=−1). If, for example, a diffracted beam of order m=+1 were produced by the beams of array 202, the energy of the combined output beam would be reduced by the energy of the errant beam. Similarly, the beams emerging from array 206 are arranged to produce only a single diffraction beam (of order m=1). If an order m=−1 beam were produced by the same array, the energy carried by the combined beam would be reduced similarly. In addition, the arrays are configured such that no light is scattered into any of the higher diffracted orders, given by m=±2, ±3, . . . . These conditions are met when the grating period d be smaller than all wavelengths λn and is larger than each half-wavelength
In addition to this required range of d as determined by the wavelengths, the beam directions must fall within certain ranges. Thus, given the limits ±1 of the sine function, the following inequalities are satisfied by the incident angle
where the subscript n is omitted, since it is not needed for present purposes.
Equations (5) and (9) provide two more inequalities relating to the output angle:
Using equations (5) and (9) with m=−1 and +1, respectively, to substitute for λ/d in equations (10) and (11), these can be written in more convenient form in terms of parameters x,x′, defined by x=−sin θ and x′=sin θ′, given by
|3x′+2x|>1,|x′+2x|>1,|2x′+x|≤1 (12)
along with |x|≤1 and |x′|≤1. It is noted that, as required, these inequalities are satisfied by a wave refracted in the orthogonal direction to the grating, i.e.,
The above applies also to the extension of the concept utilizing a grating that is ruled in two orthogonal directions (denoted by x and y axes) to combine the beams of four arrays into a single beam. Here, two grating equations are in effect, one corresponding to each ruling, which are more conveniently expressed in the terms of the direction cosines. Denoting the angles between the incident waves' propagation direction and the x axis by αn, the corresponding angles with respect to the y axis by βn, and the angles α′ and β′ to denote the direction of the combined diffracted waves, the direction cosines of the incident and diffracted ray directions are cos αn, cos βn and cos α′, cos β′ with respect to the grating rulings. The grating equations corresponding to x and y directions are then
where dx and dy are the corresponding grating periods and mx,my are positive or negative integers denoting the respective diffraction orders. Taking mx,my=±1 yields four possible combinations, represented by the relations
These relations determine four orientations for the incident beams. The four beams are in the directions (α,β), (−α,−β), (α,−β) and (−α,β). They overlap and combine to produce a single output beam in the direction (α′,β′). For a symmetric configuration, for which cos α′=cos β′=0 and the output beam is normal to the diffraction grating, the relations are
An alternative configuration, the ‘Littrow’ configuration, offers an advantage, since it permits the ratio λ/d to be close to 2. This is because it satisfies sin θ≈sin θ′≈λ/2d. Equation (7) implies that the array size could be double that of the system disclosed above, although the Littrow system is limited to one array. However, this advantage is more than offset by the fact that, since the combined beam must pass through the array, there may not be much left of the useful array space defined above. In contrast, in the system disclosed above, there is sufficient space between the arrays to enable the combined beam to pass between them.
In addition, an alternate embodiment uses a transmission grating, which transmits all incident beams into the space behind the grating. Diffraction into different diffraction orders occurs in the same manner as when a reflection grating is employed and beam combining may be implemented using the same principles.
Important characteristics of the lasers used in spectral beam combination are (i) their operating wavelengths result in a combined output beam and (ii) the lasers are free of wavelength drift (i.e., stable). In one embodiment of the disclosure, this is accomplished by use of an external cavity or resonator.
The use of an external cavity is one method by which the system can be controlled to lock to those wavelengths that combine into a single beam. The advantage of this method is that it is done automatically. Other methods use closed feedback loops in which wavelengths are actively measured and somehow adjusted to the right values.
However, external cavities or resonators, such as shown in
In alternative implementations, quartz prisms are used in place of optical gratings as dispersive elements. Since their dispersive power is smaller, it is possible to combine a much smaller number of lasers because of the limited bandwidth of the gain medium. The grating can be either a reflection or transmission grating. In the former the combined beam travels in opposite direction to the incident beams and shares the same spatial region, while in the latter the combined and incident beams have the same direction.
A limitation of the spectral beam combining technique is that only narrow-band beams can be combined since the diffraction grating spreads the beam in different directions when it is not monochromatic.
Once a number of beams have been combined into a single beam, this beam cannot be combined again with similar beams in a series configuration. Coherent beam superposition has the advantage of permitting repeated combining, however, the significant advantage of spectral beam combining is that it does away with the phase control requirement. In a sense, phase control is substituted by the lighter requirement of wavelength control. This present disclosure provides for an apparatus for performing spectral beam combining in a parallel architecture in order to superimpose up-to four arrays of multiple spectrally separated emitters, in which each array may optimally span the same spectral range.
The principal parameters that measure device performance are the maximum number of emitters of which the output beams can be combined, the total power of the output beam and its beam quality. These also depend on the beam power and beam quality of individual emitters, as well as the gain spectrum and linewidth of their free-running output fields. Clearly, the maximum radiation intensity that the grating can withstand without significant thermal distortion is also an important parameter, which in fact may ultimately determine the system capacity. The apparatus and methodology disclosed herein increase the maximum numbers of combining elements over that of existing art.
Employment of two-dimensional rectangular-geometry gratings, which are ruled in two mutually orthogonal directions, in any of the configurations described above, enables four linear arrays to be combined simultaneously.
In
The light produced by the first plurality of emitters in a first array may be directed onto the diffraction grating by passing it through a first lens, such as cylindrical lens for example, having a first line of focus on the diffraction grating and the light produced by the second plurality of emitters onto the diffraction grating may be directed onto the diffraction grating by passing it through a second lens having a second line of focus on the diffraction grating. The first and second lines of focus are oriented parallel to the lines of the diffraction grating.
An advantage of wavelength or spectral beam combining over coherent beam combining (CBC), whether using a tiled array or a single aperture, is that spectral beam combining does not required the extremely rigorous phase and polarization control that is needed for CBC. In addition, these same factors guarantee that a spectral beam combining system is far less sensitive to environmental vibrations. However, the spectral properties of the output beams of each array should be well controlled.
For example, the spectral linewidth and jitter σλ result in angular spreading of the output beam, given by
σθ′=√{square root over (<cos2θ>w02/f2+σλ2/d2)} (16)
where f is the focal length of the collimating lens, d is the line spacing of the grating and the first term under the square root sign is the diffractive effect of the finite core radius w0. The brackets indicate averaging over the array.
In accordance with the disclosure, the source linewidth, that is the linewidth of the emitters, is controlled to be small. As discussed below, this enables more emitters to be used without light from adjacent emitters containing overlapping wavelengths. In addition, the system may be configured to minimize the effects of finite source linewidth.
The linewidth is the cause of divergence, or spreading, of the output beam, which increases the diameter on the beam when focused by a lens (or on a distant target). In other words, the “beam quality” is reduced. From equation (3) above, a small increment A in the wavelength results in a change in direction of the output beam given by
where d is the grating period (separation of grooves), θ′ is the direction of the combined beam measured with respect to the grating normal, and Δλ is the emitter linewidth. The angle Δθ′ measures the divergence of the output beam induced by the emitter linewidth. The term cos θ′ in the denominator shows that it is beneficial that the combined beam is directed close to the grating normal and in addition that the grating period d. Suppose it is required for a certain application that the angular spread of the output beam is less than 10−6 radians=1μrad (corresponding to a beam spread of 1 cm at a range of 10 km), then Equation (17) shows that the spectral width must be less than one-millionth of the grating parameter. For example, if the grating has 1000 lines per millimeter, then d=10−6 m=1 μm and the linewidth Δλ must be less than 10−12 m, or one pico-meter (pm). At a central wavelength of one micrometer this corresponds to a frequency range of 300 Megahertz (300 million cycles per second).
When feedback is provided by a partially reflecting plane mirror placed orthogonal to the output beam, a slight error Δθ′ in the direction of the output beam will result in a displacement, Δs, of the returned beam in the array plane. The displacement is given by Δs=f Δθ′, where f is the focal length of the transform lens. Combining this with the Equation (17), gives
where Δλ is the linewidth of the emitter. The bandwidth occupied per emitter is defined as b=B|(N−1) is the spectral separation of the emitters, or Free Spectral Range (FSR), where B is the total bandwidth occupied by the array (for ytterbium-doped fiber lasers and semiconductor lasers B is approximately 40 nm (nanometers)) and N is the number of emitters. Equation (7) gives the relation
s=bf/d, or b=sd/f, (19)
where s is the distance between neighboring emitters as measured between their centers. This gives the relation between the spectral width of each emitter (b) and the space (s) that it occupies. Thus, it is advantageous to use a grating with a large number of lines per millimeter (so that d is small) and a lens of large focal-length f.
In order to minimize cross-talk (coupling between neighboring emitters when feedback is present), Δs is required to be small compared to s, i.e. Δs<s, which implies
Thus, the linewidth of the emitted radiation should be small compared to the FSR, which in turn is proportional to the emitter separation, s, in terms of the ratio d/f.
In the apparatus disclosed above, the combining technique is highly efficient, and beam quality achieved is similar to that of a single beam. In addition, the technique is insensitive phase and optical path variability and is sensitive to polarization only to the same degree as the grating.
Chromatic and other lens aberrations may limit array size, but these factors may be ameliorated by use of specially designed lenses (such as multiplets, aspheric and achromatic glasses, for example) and by using lens with longer focal lengths (although this would increase the size of the system). Thermal limitations may be ameliorated by using special dielectric multilayer gratings.
While various embodiments have been described above, it should be understood that they have been presented by way of example, and not limitation. It will be apparent to persons skilled in the relevant art(s) that various changes in form and detail can be made therein without departing from the spirit and scope. In fact, after reading the above description, it will be apparent to one skilled in the relevant art(s) how to implement alternative embodiments. Thus, the present embodiments should not be limited by any of the above described exemplary embodiments.
The invention described herein may be manufactured, used and licensed by or for the Government of the United States for all governmental purposes without the payment of any royalty.
Number | Name | Date | Kind |
---|---|---|---|
5524012 | Wang | Jun 1996 | A |
6456756 | Mead | Sep 2002 | B1 |
7199924 | Brown et al. | Apr 2007 | B1 |
7233442 | Brown et al. | Jun 2007 | B1 |
7489447 | Zheng | Feb 2009 | B2 |
7535631 | Brown et al. | May 2009 | B2 |
8179594 | Tidwell et al. | May 2012 | B1 |
8472763 | Liu et al. | Jun 2013 | B1 |
8526110 | Honea et al. | Sep 2013 | B1 |
20100110556 | Chann et al. | May 2010 | A1 |
Entry |
---|
T. Y. Fan, “Laser Beam Combining for High-Power, High-Radiance Sources”, IEEE J. Sel. Topics Quant. Electron. vol. 11, 567, Oct. 10, 2005. |
Thomas H. Loftus, “522 W average power, spectrally beam-combined fiber laser with near-diffraction-limited beam quality”, Optics Letters, 32, 349-351 (2007). |
C. C. Cook and T. Y. Fan, “Spectral beam combining of Yb-doped fiber lasers in an external cavity,” in OSA Trends in Optics and Photonics, vol. 26, Adv. Solid-State Lasers, M. M. Fejer, H. Injeyan, and U. Keller, Eds. Washington, DC: Optical Society of America, 1999, pp. 163-166. |
V. Daneu, A. Sanchez, T.Y. Fan, H. K. Choi, G.W. Turner, and C. C. Cook, “Spectral beam combining of a broad-stripe diode laser array in an external cavity,” Opt. Lett., vol. 25, pp. 405-407, Mar. 2000. |
C. Hamilton, S. Tidwell, D. Meekhof, J. Seamans, N. Gitkind, and D. Lowenthal, “High power laser source with spectrally beam combined diode laser bars,” Proc. SPIE, vol. 5336, 2004. |
Zhanda Zhu, Long Gou, Menghua Jiang, Yongling Hui, Hong Lei, and Qiang Li, “High beam quality in two directions and high efficiency output of a diode laser array by spectral-beam-combining,” Opt. Express 22, 17804-17809 (2014). |
W. A. Clarkson, V. Matera, T. M. J. Kendall, D. C. Hanna, J. Nilsson, and P. W. Turner, “High-power wavelength-combined cladding-pumped Tm-doped silica fibre lasers,” in OSA Trends in Optics and Photonics (TOPS), vol. 56, Conf. on Lasers and Electra-optics (CLEO 2001), Washington, DC: Optical Society of America, 2001, pp. 363-364. |
M. Reich, J. Limpert, A. Liem, T. Clausnitzer, H. Zellmer, E. B. Kley, and A. Tunnermann, “Spectral beam combining of ytterbium-doped fiber lasers with a total output power of 100 W,” in Europhys. Conf. Abstracts, vol. 28, 2004. |
Max Born and Emil Wolf, Principles of Optics, 5th Edition, Ch.8, Pergamon Press (1975). |
Peter O. Minott, James B. Abshire, “Grating Rhomb Diode Laser Power Combiner”, Proc. SPIE 0756, Optical Technologies for Space Communication Systems, (Jun. 3, 1987); doi: 10.1117/12.940022; http://dx.doi.org/10.1117/12.940022. |
I. H. White, “A multichannel grating cavity laser for wavelength division multiplexing applications,” in Journal of Lightwave Technology, vol. 9, No. 7, pp. 893-899, Jul. 1991. doi: 10.1109/50.85791. |
Antonio Sanchez-Rubio, Tso Yee Fan, Steven J. Augst, Anish K. Goyal, Kevin J. Creedon, Juliet T. Gopinath, Vincenzo Daneu, Bien Chann, and Robin Huang, Wavelength Beam Combining for Power and Brightness Scaling of Laser Systems, MIT Lincoln Laboratory Journal, vol. 20, No. 2, 2014. |
B. Chann, R. K. Huang, L. J. Missaggia, C. T. Harris, Z. L. Liau, A. K. Goyal, J. P. Donnelly, T. Y. Fan, A. Sanchez-Rubio, and G. W. Turner, “Near-diffraction-limited diode laser arrays by wavelength beam combining,” Opt. Lett. 30, 2104-2106 (2005). |
Sandro Klingebiel, Fabian Röser, Bülend Ortaç, Jens Limpert, and Andreas Tünnermann, “Spectral beam combining of Yb-doped fiber lasers with high efficiency,” J. Opt. Soc. Am. B 24, 1716-1720 (2007). |
Oleksiy G. Andrusyak, “Dense Spectral Beam Combining With volume Bragg Gratings in Photo-Thermo-Refractive Glass,” A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the College of Optics and Photonics at the University of Central Florida Orlando, Florida, 2009. |
O. Schmidt, C. Wirth, D. Nodop, J. Limped, T. Schreiber, T. Peschel, R. Eberhardt, and A. Tünnermann, “Spectral beam combination of fiber amplified ns-pulses by means of interference filters,” Opt. Express 17, 22974-22982 (2009). |
Derrek Drachenberg, Ivan Divliansky, Vadim Smirnov, George Venus, Leonid Glebov, “High-power spectral beam combining of fiber lasers with ultra high-spectral density by thermal tuning of volume Bragg gratings”, Proc. SPIE 7914, Fiber Lasers VIII: Technology, Systems, and Applications, 79141F (Feb. 11, 2011); doi: 10.1117/12.877172. |
S. A. Kemme, D. A. Scrymgeour, D. W. Peters, “High efficiency diffractive optical elements for spectral beam combining”, Proc. SPIE 8381, Laser Technology for Defense and Security VIII, 83810Q (May 7, 2012); doi: 10.1117/12.919593. |
Ott, Daniel & Divliansky, Ivan & Anderson, Brian & Venus, George & Glebov, Leonid. (2013). Scaling the spectral beam combining channels in a multiplexed volume Bragg grating. Optics express. vol. 21, No. 24. |
Drachenberg DR, Andrusyak O, Venus G, Smirnov V, Lumeau J, Glebov LB, Ultimate efficiency of spectral beam combining by volume Bragg gratings, Appl Opt. Oct. 20, 2013;52(30):7233-42. doi: 10.1364/AO.52.007233. |