Abstract

The application of photonics to astronomy offers major advantages in the area of highly-multiplexed spectroscopy, especially when applied to extremely large telescopes. These include the suppression of the near-infrared night-sky spectrum [J. Bland-Hawthorn et al, Opt. Express 12, 5902 (2004), S. G. Leon-Saval et al, Opt. Lett. 30, 2545 (2005)] and the miniaturisation of spectrographs so that they may integrated into the light-path of individual spatial samples [J. Bland-Hawthorn et al, Proc SPIE 6269, 62690N (2006)]. Efficient collection of light from the telescope requires multimode optical fibres and three-dimensional photonic devices. We propose ultrafast laser inscription (ULI) [R. R. Thomson et al, Opt. Express 15, 11691 (2007)] as the best technology to fabricate 3D photonic devices for astrophotonic applications.

© 2009 Optical Society of America

1. Highly multiplexed spectroscopy

Highly Multiplexed Spectroscopy (HMS) is a key observational technique for the next generation of Extremely Large Telescopes (ELTs). HMS includes both simultaneous observations of multiple faint objects at the limits of detection (multiple object spectroscopy: MOS) and spatially-resolved spectroscopy over contiguous fields of brighter structured objects (integral field spectroscopy: IFS) and a mixture of the two (diverse field spectroscopy: DFS). Examples of MOS include studies of large samples of distant galaxies to determine the cosmic equation of state; and individual stars in this and nearby galaxies to determine their origins by “galactic archaeology”. Examples of IFS include studies of the nuclei of active galaxies which harbour supermassive black holes and uncovering evidence of galactic mergers. DFS is aimed mainly at the assembly of primeval galaxies and studies of dense star clusters where intermediate mass black holes may reside. These all require multiplex factors of 102 → 105. With ELTs the sensitivity is boosted by both the increase in collecting area and by the improved spatial resolution available, reinforcing the importance of HMS for the future.

The largest multiplex gains for MOS are generally achieved with fibre systems in which optical fibres are placed at the focal surface of the telescope to intercept light from the targets of interest. These use conventional step-index multimode fibres (MMFs) made from fused silica with a core diameter of ~100μm. They are convenient for large scale integration due to their flexibility but are compromised in efficiency by étendue non-conservation and high attenuation at wavelengths <400nm. Slit masks can be used with wide-field spectrographs to improve efficiency but this also restrict the choice of targets. IFS can also be realized using composite fibre-lenslet and monolithic diamond-machined technologies [1].

2. Photonics applied to highly-multiplexed spectroscopy

2.1 Background suppression

Removal of the night-sky spectrum is a critical requirement for NIR spectroscopy. The spectrum consists of an aperodic forest of very narrow, intense emission lines which vary with both position in the sky and time. This degrades the signal/noise ratio (SNR) of the object spectrum or requires costly or lossy processes to remove them. Removal is best done before the light enters the spectrograph because the optics and disperser add significant wings to the spectral PSF [2] which hinders the removal of the background.

A promising photonic solution is couple the light from the telescope into an optical fibre inscribed with an Aperiodic Fiber Bragg-Grating (AFBG). AFBGs on single-mode fibres have already been demonstrated to suppress the brightest OH lines at 1500–1570nm [3] but, for astronomy, the celestial light must be captured using MMFs to increase the coupling efficiency. Since each mode has a different propagation constant, the Bragg condition in a MMF-FBG is satisfied at different wavelengths for each transverse mode. This leads to an error in the passband which degrades the spectrum. To overcome this problem, a novel photonic device could be used to couple the multimode light to an array of SMFs with inscribed AFBGs [4] as discussed further in §3.

2.2 Photonic spectrographs

The trend towards increased multiplex gain in astronomy and the increased physical size of the telescopes, allied to the unfavorable scaling laws for the instruments, make fibre-based solutions attractive for ELTs [1]. However, the scaling laws imply impractically large instruments unless the effective slit width can be reduced so that the required resolving power can be obtained with a smaller disperser. This requires high image quality over the wide fields necessary for HMS which may not be delivered by AO initially Even then, observations of faint galaxies need wider slits to match their characteristic physical size.

The main problem is that traditional dispersers (surface-relief or index-modulated) have an inherent geometric constraint that makes size reduction difficult. To generalize previous discussions of photonic spectrographs [5], consider the spectral resolution of a spectrograph with a slit width sized to optimize SNR and therefore generally wider than the diffraction limit of the telescope. The spectral resolution is then determined by the smallest resolvable angle emerging from the disperser, δβ, via Eq. 1:

δλ=[]δβ=sΓfS[]=χDTDS1Γ[]

using conservation of étendue δβ = s’/fc = s/fs where s and s’ are the widths of the slit and the image of it on the detector respectively and fs and fC are the focal lengths of the collimator and camera respectively. Γ is the anamorphic factor introduced the disperser and the term in square brackets is the angular dispersion. In terms of the angular width of the slit projected on the sky, χ = sDs /fsDT, where DT is the telescope aperture diameter and Ds is the diameter of the collimated beam incident on the disperser, the resolving power is given by Eq. (2):

Rλδλ=ΓDSDTλχ[]1

This is a very general expression, independent of the details of the disperser, and dependent only on the slitwidth, size of the collimated beam and the anamorphic factor (~1).

For a spectrograph using a diffraction grating, the dispersion is obtained from Eq. (3) which gives the interference between beams emerging from adjacent scattering centers in a medium with refractive index, n, at angle β:

n(sinα+sinβ)=mρλ

where the input angle is α and β is the linear density of scattering centers in the dispersion direction (i.e. the rulings). The dispersion and anamorphic factor respectively are cosβ/() and cosβ/cosα (for air), so from Eq. (2) the resolving power is given by Eq. (4)

RG=DSχDT(sinα+sinβcosα)=2DStanγχDT

where we have substituted from Eq. (3) to eliminate details of the disperser in the first expression. The second expression is for the blaze condition when α = βγ. This occurs when the scattering centers are in phase with the edges of their clear apertures to maximize the intensity from each facet. The geometry of the optical system imposes a practical restriction that 0 < tanγ < 4.

So far, this is very familiar to astronomers. However, if we replace the grating by an array of waveguides – defined generically to include SMFs – with path differences between adjacent scattering centers of Δy = (dy/dx)Δx where x is the coordinate along the fibre array and Δx is the centre-centre pitch, then Eq. (3) becomes Eq. (5)

[dy/dx]+sinβ=mρλ

where ρ = 1/Δx. Thus the dispersion and the anamorphic factor respectively are cosβ/() and unity. So, the resolving power, from Eq. (2), is given by Eq. (6)

RP=DSχDT([dydx]+sinβ)1cosβ=DSχDT[dydx]

since the blaze condition occurs when the phase difference between the centre and edge of a fibre, (π/λ)sinβ, vanishes, i.e. when β = 0. This is determined only by the exit angle since the phase is constant over each waveguide exit aperture.

 

Fig. 1. Left – Cartoon of photonic spectrograph with a phased waveguide array as the disperser. Right – traditional spectrograph of the same overall dimensions, but worse spectral resolution.

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Compared with the grating spectrograph, there is no limit imposed by geometry, only by the construction of the waveguide array. This means that the resolving power can exceed that of a grating spectrograph by a factor W = [dy/dx]/2tanγwhich can be made arbitrarily large as demonstrated in Fig. 1 where the waveguides are wound N times round a circle. For N = 6 windings, the advantage is W = (2N+1)π/8 = 5 in a volume comparable to a traditional spectrograph. Conversely this means that, for a given resolving power, the characteristic size of the spectrograph may be drastically reduced (by a factor ~W2) since the disperser size dominates the spectrograph dimensions.

3. Coupling celestial light into photonic devices

Light arriving at a telescope from the depths of the cosmos is inherently multimoded. Furthermore, the sample size is determined by the SNR of the required data product (e.g. line flux, radial velocity) rather than the achievable spatial resolution, and this is often larger than the mode area or core size of a SMF. Coupling light directly into a SMF is inefficient [6] so it is better to use MMFs where losses can be limited to ~1%. However, existing photonic devices (e.g. FBGs and Arrayed Waveguide Gratings: AWGs), have been developed for single-mode input. This presents a major challenge to astrophotonics.

Once the light from the telescope has been collected by a MMF, it must be processed by the photonic device. Since each transverse mode in a MMF exhibits a different propagation constant, a different electric field distribution and a different phase profile across the mode, careful control and manipulation of these modes is essential to optimise the operation of the photonic device. For the OH-suppression (OHS) application (§2), each transverse mode supported by a MMF has a slightly different propagation constant, which degrades the rejection passband and reduces performance. To overcome this, it may be possible to use optical fibre tapering techniques to create a low-loss transition between a MMF and an array of SMFs [4] such that the transverse modes supported by the MMF may be transformed into the supermodes supported by the SMF array. Furthermore, since the supermodes supported by the SMF array are degenerate, with each exhibiting an almost identical propagation constant, a multimode fibre filter with the spectral characteristics of a SMF-FBG could be realized by placing Bragg gratings in the SMFs. Such a device would remove the night-sky background with high coupling efficiency and throughput.

The throughput of the proof-of-concept device demonstrated in ref. [4] was limited to ~3%. The authors state that this was due to the mismatch in the number of modes supported by the MMF and the number of supermodes supported by the array of SMFs. Although this may be reduced by increasing the number of SMFs in order to address the full modal content of the incoming MMF, scaling this technology to MMFs that support 50–100 modes will require greater complexity in design and manufacture. Furthermore for HMS, each of the 102–105 MMFs would need to be adapted in this way implying up to ~107 individual SMFs – an integrated solution is clearly required.

4. Technology options

4.1 Requirements

From the previous discussion we can define two critical astrophotonic applications of particular interest to HMS: firstly, the suppression of atmospheric OH emission lines using AFBGs and, secondly, the miniaturization and modularization of spectrographs so that, in the limit, each MMF feeds an individual spectrograph. Both of these applications will require the manipulation of highly multimode light and thus integrated and advanced 3D mode converters. In addition, the photonic spectrograph requires a disperser fashioned as a phased array of waveguides with arbitrarily large phase shifts between adjacent scattering centers. Furthermore, we anticipate that the implied multiplexity of the waveguides (50–100 for the OHS application alone) will require the ability to weave the waveguides in 3D to allow low-loss and low cross-talk waveguide crossovers – topologically impossble in planar devices..

4.2 Ultrafast Laser Inscription (ULI)

Although optical fibre technology could be used to achieve these goals on a small scale, it may not be suitable for the large-scale production of many thousands of individual modules coupled to individual MMFs. We suggest that a more suitable technology may be the revolutionary technique of ultrafast laser inscription (ULI).

Ultrashort laser pulses are the shortest events ever created by humanity. Due to their brevity, extremely high peak powers can be obtained using relatively low energy pulses and average powers, e.g. a 100 fs pulse of 1.0 μJ energy peaks at a power of 10MW. When focused inside a dielectric material that is normally transparent to the laser wavelength, the peak intensity can be high enough to induce various nonlinear mechanisms that deposit optical energy in the material at the focus [7]. The deposited energy can induce highly localised modifications to the structure of the material which can in turn manifest themselves in a variety of ways, such as changes in the refractive index [8] or susceptibility to chemical etching [9] of the modified material. Since the light-matter interaction is nonlinear, only occurring above an intensity threshold, 3D structures can be directly inscribed inside the material by translating the material in 3D through the focus of the laser beam.

3D photonic structures can be directly inscribed inside the material. For example, the refractive index change can be used to directly inscribe 3D optical waveguides [10, 11], and optical waveguides have already been demonstrated that simultaneously exhibit low single mode fibre-to-waveguide coupling losses (~0.1 dB/facet) and propagation losses (0.3 dB/cm) [12]. The etch-rate modification on the other hand can be used to create micro-optics [13], free-standing multimode optical waveguides [9] and high aspect ratio micro-fluidics [14]. Thus, ULI is a revolutionary new 3D photonic device fabrication technology that provides the potential to realise devices that would have otherwise been impossible using conventional photonic device fabrication technologies.

4.3 Astrophotonic applications of ultrafast laser inscription

ULI can be used to make photonic devices to address the astrophotonic applications highlighted above. These would be very challenging to create initially, but once mastered the technique could be scaled to fabricate thousands of devices.

 

Fig. 2. Conceptual diagrams of (a) a highly dispersive 3D waveguide array and (b) an integrated OH-fluorescence filter. In both (a) and (b), the inscribed waveguides are green.

Download Full Size | PPT Slide | PDF

Figure 2 indicates how a ULI fabricated highly dispersive waveguide array and OHS device might appear. The highly dispersive waveguide array could be fabricated by directly inscribing a 3D spiral array of waveguides in a glass substrate using the refractive index change induced by the ULI process. The OHS device on the other hand could be fabricated by irradiating the substrate in such a way that after etching, a free-standing multimode optical waveguide would be formed, similar to that described in [9]. Before the etching was performed however, a tapered array of optical waveguides could be inscribed inside the multimode waveguide. Light from the telescope would be coupled into the multimode waveguide, the transverse modes of the multimode waveguide would then adiabatically transform into the supermodes supported by the waveguide array. The OH-fluorescence could then be filtered from the celestial light using aperiodic gratings inscribed in the waveguides by modulating the power during the inscription. After filtering, the waveguides could flare out into a linear array, for coupling the filtered light into a conventional or photonic spectrograph. The power modulation technique has already been used to fabricate monolithic waveguide lasers [15, 16] incorporating distributed feedback gratings with refractive index modulations in excess of 10-4 [16]. This level of index modulation is certainly adequate for the fabrication of complex grating structures [3].

4.4 Technological challenges for ultrafast laser inscription

For ULI to realise its full potential for astrophotonic applications, a number of technological issues must first be addressed. The first of these is the relatively high propagation losses currently associated with ULI fabricated waveguides. The lowest propagation loss reported to date for a ULI fabricated waveguide is ~0.1 dB/cm at 1.55μm wavelength[17]. This is an order of magnitude higher than can be achieved using more conventional waveguide fabrication technologies and, depending on the wavelength of the light being used, limits the maximum waveguide length to a few tens of cm. It should be noted however that although the ULI field has grown rapidly over the last decade, ULI is still a relatively immature technology. It is only now that researchers are beginning to study and understand the origins of the propagation losses in ULI fabricated waveguides [18], investigate exactly how the various ULI parameters affect the waveguide propagation losses [19], and find ways to reduce them. Consequently, we see no reason why, in the future, the propagation losses of ULI fabricated waveguides cannot be reduced to levels that will be acceptable for astrophotonic devices that require long waveguide lengths.

The second, and probably the more challenging, technological issue that must be addressed is the low refractive index contrast of ULI fabricated waveguides. Although it appears ULI can be used to inscribe waveguides in almost any transparent dielectric material, most commonly used substrate materials, such as silicate, borosilicate and phosphate glasses, exhibit modest (< 0.5 %) refractive index changes under irradiation. This limits the bend radii of the inscribed waveguides to ~50mm before radiation losses become unacceptable [12, 20]. Clearly, this is a limitation that must be addressed as it increases the device footprint and limits the complexity of the devices that can be created.

Currently, a number of routes show promise for overcoming this limitation. For example, Sugioka’s group at Riken have already demonstrated low-loss (< 0.3 dB) 90° waveguide bends using total-internal-reflection micro-mirrors [21]. These mirrors were created using ULI by irradiating regions that were then selectively removed using the etching technique described in section 4.2. Another route may be to use more exotic substrate materials that exhibit larger refractive index changes under irradiation. The Knox group at the University of Rochester have, for example, recently fabricated waveguides in a hydrogel polymer with a refractive index contrast of ≈ 4 % [22], and demonstrated waveguides with 1.0 mm bend radii that exhibited radiation losses below 0.1 dB/cm for 632 nm light. The Hirao group at Kyoto University have also recently demonstrated that silicon-rich structures can be directly inscribed in silicate glass using femtosecond laser pulses [23]. Since the refractive index of silicon is ≈ 3.4, techniques such as this could pave the way to extremely high refractive index contrast waveguides operating in the IR with very small bend radii.

It is our belief that techniques such as these will be optimised to a level that will enable the inscription of low-loss waveguides with tight bends, thus enabling the fabrication of highly integrated 3D astrophotonic devices.

5. Conclusions

In this paper we have proposed for the first time that ULI will be an enabling technology for astrophotonics. We currently see no other technology that can provide the unique fabrication capabilities of ULI.

References and links

1. J. R. Allington-Smith, “Strategies for spectroscopy on Extremely Large Telescopes – I. Image slicing”, MNRAS 376, 1099–1108 (2007). [CrossRef]  

2. S. C. Ellis and J. Bland-Hawthorn, “The case for OH suppression at near-infrared wavelengths,” MNRAS 386, 47–64 (2008). [CrossRef]  

3. J. Bland-Hawthorn, M. Englund, and G. Edvell, “New approach to atmospheric OH suppression using an aperiodic fibre Bragg grating,” Opt. Express 12, 5902–5909 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-24-5902. [CrossRef]   [PubMed]  

4. S. G. Leon-Saval, T. A. Birks, J. Bland-Hawthorn, and M. Englund, “Multimode fiber devices with single-mode performance,” Opt. Lett. 30, 2545–2547 (2005), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-19-2545. [CrossRef]   [PubMed]  

5. J. Bland-Hawthorn and A. Horton, “Instruments without optics: an integrated photonic spectrograph,” Proc. SPIE 6269, 62690N (2006). [CrossRef]  

6. J. Corbett, T. Butterley, and J. R. Allington-Smith, “Fibre modal power distributions in astronomy and their application to OH-suppression fibres,” MNRAS 378, 482–492 (2007). [CrossRef]  

7. C. B. Schaffer, A. Brodeur, and E. Mazur, “Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses,” Meas. Sci. Technol. 12, 1784–1794 (2001). [CrossRef]  

8. K. M. Davis, K. Miura, N. Sugimoto, and K. Hirao, “Writing waveguides in glass with a femtosecond laser,” Opt. Lett. 21, 1729–1731 (1996), http://www.opticsinfobase.org/abstract.cfm?URI=ol-21-21-1729. [CrossRef]   [PubMed]  

9. Y. Cheng, K. Sugioka, and K. Midorikawa, “Freestanding optical fibers fabricated in a glass chip using femtosecond laser micromachining for lab-on-a-chip application,” Opt. Express 13, 7225–7232 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-18-7225. [CrossRef]   [PubMed]  

10. R. R. Thomson, H. T. Bookey, N. D. Psaila, A. Fender, S. Campbell, W. N. MacPherson, J. S. Barton, D. T. Reid, and A. K. Kar, “Ultrafast-laser inscription of a three dimensional fan-out device for multicore fibre coupling applications,” Opt. Express 15, 11691–11697 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-18-11691. [CrossRef]   [PubMed]  

11. S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys. A – Mater. 77, 109–111 (2003). [CrossRef]  

12. S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, “Telecom-band directional coupler written with femtosecond fiber laser,” IEEE Photon. Technol. Lett. 18, 2174–2176 (2006). [CrossRef]  

13. Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, “Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining,” Appl. Phys. A – Mater. 85, 11–14 (2006). [CrossRef]  

14. Y. Bellouard, A. Said, M. Dugan, and P. Bado, “Fabrication of high-aspect ratio, micro-fluidic channels and tunnels using femtosecond laser pulses and chemical etching,” Opt. Express 12, 2120–2129 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-10-2120. [CrossRef]   [PubMed]  

15. G. D. Marshall, P. Dekker, M. Ams, J. A. Piper, and M. J. Withford, “Directly written monolithic waveguide laser incorporating a distributed feedback waveguide-Bragg grating,” Opt. Lett. 33, 956–958 (2008), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-9-956. [CrossRef]   [PubMed]  

16. M. Ams, P. Dekker, G. D. Marshall, and M. J. Withford, “A 100 mW monolithic Yb waveguide laser fabricated using the femtosecond laser direct-write technique,” (2008), http://arxiv.org/abs/0809.4550v1.

17. Y. Nasu, M. Kohtoku, and Y. Hibino, “Low-loss waveguides written with a femtosecond laser for flexible interconnection in a planar light-wave circuit,” Opt. Lett. 30, 723–725 (2005), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-7-723. [CrossRef]   [PubMed]  

18. S. M. Eaton, W. Chen, H. Zhang, Iyer R., M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, “Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths,” J. Lightwave Technol. (to be published).

19. M. Ams, G. D. Marshall, and M. J. Withford, “Study of the influence of femtosecond laser polarisation on direct writing of waveguides,” Opt. Express 14, 13158–13163 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-13158. [CrossRef]   [PubMed]  

20. L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, “Optical loss measurements in femtosecond laser written waveguides in glass,” Opt. Commun. 259, 626–630 (2006). [CrossRef]  

21. Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, “Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing,” Appl. Phys. A – Mater. 88, 699–704 (2007). [CrossRef]  

22. L. Ding, R. I. Blackwell, J. F. Künzler, and W. H. Knox, “Femtosecond laser micromachining of waveguides in silicone-based hydrogel polymers,” Appl. Opt. 47, 3100–3108 (2008). [CrossRef]   [PubMed]  

23. K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, “Formation of Si structure in glass with a femtosecond laser,” Appl. Phys. A – Mater. 93, 183–188 (2008). [CrossRef]  

References

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  1. J. R. Allington-Smith, "Strategies for spectroscopy on Extremely Large Telescopes - I. Image slicing", MNRAS 376,1099-1108 (2007).
    [CrossRef]
  2. S. C. Ellis and J. Bland-Hawthorn, "The case for OH suppression at near-infrared wavelengths," MNRAS 386, 47-64 (2008).
    [CrossRef]
  3. J. Bland-Hawthorn, M. Englund, and G. Edvell, "New approach to atmospheric OH suppression using an aperiodic fibre Bragg grating," Opt. Express 12, 5902-5909 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-24-5902.
    [CrossRef] [PubMed]
  4. S. G. Leon-Saval, T. A. Birks, J. Bland-Hawthorn, and M. Englund, "Multimode fiber devices with single-mode performance," Opt. Lett. 30, 2545-2547 (2005), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-19-2545.
    [CrossRef] [PubMed]
  5. J. Bland-Hawthorn and A. Horton, "Instruments without optics: an integrated photonic spectrograph," Proc. SPIE 6269, 62690N (2006).
    [CrossRef]
  6. J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
    [CrossRef]
  7. C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
    [CrossRef]
  8. K. M. Davis, K. Miura, N. Sugimoto, and K. Hirao, "Writing waveguides in glass with a femtosecond laser," Opt. Lett. 21, 1729-1731 (1996), http://www.opticsinfobase.org/abstract.cfm?URI=ol-21-21-1729.
    [CrossRef] [PubMed]
  9. Y. Cheng, K. Sugioka, and K. Midorikawa, "Freestanding optical fibers fabricated in a glass chip using femtosecond laser micromachining for lab-on-a-chip application," Opt. Express 13, 7225-7232 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-18-7225.
    [CrossRef] [PubMed]
  10. R. R. Thomson, H. T. Bookey, N. D. Psaila, A. Fender, S. Campbell, W. N. MacPherson, J. S. Barton, D. T. Reid, and A. K. Kar, "Ultrafast-laser inscription of a three dimensional fan-out device for multicore fibre coupling applications," Opt. Express 15, 11691-11697 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-18-11691.
    [CrossRef] [PubMed]
  11. S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
    [CrossRef]
  12. S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
    [CrossRef]
  13. Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
    [CrossRef]
  14. Y. Bellouard, A. Said, M. Dugan, and P. Bado, "Fabrication of high-aspect ratio, micro-fluidic channels and tunnels using femtosecond laser pulses and chemical etching," Opt. Express 12, 2120-2129 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-10-2120.
    [CrossRef] [PubMed]
  15. G. D. Marshall, P. Dekker, M. Ams, J. A. Piper, and M. J. Withford, "Directly written monolithic waveguide laser incorporating a distributed feedback waveguide-Bragg grating," Opt. Lett. 33, 956-958 (2008), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-9-956.
    [CrossRef] [PubMed]
  16. M. Ams, P. Dekker, G. D. Marshall, and M. J. Withford, "A 100 mW monolithic Yb waveguide laser fabricated using the femtosecond laser direct-write technique," (2008), http://arxiv.org/abs/0809.4550v1.
  17. Y. Nasu, M. Kohtoku, and Y. Hibino, "Low-loss waveguides written with a femtosecond laser for flexible interconnection in a planar light-wave circuit," Opt. Lett. 30, 723-725 (2005), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-7-723.
    [CrossRef] [PubMed]
  18. S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).
  19. M. Ams, G. D. Marshall, and M. J. Withford, "Study of the influence of femtosecond laser polarisation on direct writing of waveguides," Opt. Express 14, 13158-13163 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-13158.
    [CrossRef] [PubMed]
  20. L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
    [CrossRef]
  21. Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
    [CrossRef]
  22. L. Ding, R. I. Blackwell, J. F. Künzler, and W. H. Knox, "Femtosecond laser micromachining of waveguides in silicone-based hydrogel polymers," Appl. Opt. 47, 3100-3108 (2008).
    [CrossRef] [PubMed]
  23. K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
    [CrossRef]

2008 (3)

2007 (3)

R. R. Thomson, H. T. Bookey, N. D. Psaila, A. Fender, S. Campbell, W. N. MacPherson, J. S. Barton, D. T. Reid, and A. K. Kar, "Ultrafast-laser inscription of a three dimensional fan-out device for multicore fibre coupling applications," Opt. Express 15, 11691-11697 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-18-11691.
[CrossRef] [PubMed]

J. R. Allington-Smith, "Strategies for spectroscopy on Extremely Large Telescopes - I. Image slicing", MNRAS 376,1099-1108 (2007).
[CrossRef]

J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
[CrossRef]

2006 (4)

J. Bland-Hawthorn and A. Horton, "Instruments without optics: an integrated photonic spectrograph," Proc. SPIE 6269, 62690N (2006).
[CrossRef]

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

M. Ams, G. D. Marshall, and M. J. Withford, "Study of the influence of femtosecond laser polarisation on direct writing of waveguides," Opt. Express 14, 13158-13163 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-13158.
[CrossRef] [PubMed]

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

2005 (3)

2004 (2)

2001 (1)

C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
[CrossRef]

1996 (1)

Aitchison, J. S.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Allington-Smith, J. R.

J. R. Allington-Smith, "Strategies for spectroscopy on Extremely Large Telescopes - I. Image slicing", MNRAS 376,1099-1108 (2007).
[CrossRef]

J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
[CrossRef]

Ams, M.

Ashcom, J. B.

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

Bado, P.

Barton, J. S.

Bellouard, Y.

Birks, T. A.

Blackwell, R. I.

Bland-Hawthorn, J.

Bookey, H. T.

Brodeur, A.

C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
[CrossRef]

Burghoff, J.

S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
[CrossRef]

Butterley, T.

J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
[CrossRef]

Campbell, S.

Chen, W.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Cheng, Y.

Y. Cheng, K. Sugioka, and K. Midorikawa, "Freestanding optical fibers fabricated in a glass chip using femtosecond laser micromachining for lab-on-a-chip application," Opt. Express 13, 7225-7232 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-18-7225.
[CrossRef] [PubMed]

Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
[CrossRef]

Corbett, J.

J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
[CrossRef]

Davis, K. M.

Dekker, P.

Ding, L.

Dugan, M.

Eaton, S. M.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Edvell, G.

Ellis, S. C.

S. C. Ellis and J. Bland-Hawthorn, "The case for OH suppression at near-infrared wavelengths," MNRAS 386, 47-64 (2008).
[CrossRef]

Englund, M.

Fender, A.

Gattass, R. R.

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

Hanada, Y.

Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
[CrossRef]

Herman, P. R.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Hibino, Y.

Hirao, K.

K. M. Davis, K. Miura, N. Sugimoto, and K. Hirao, "Writing waveguides in glass with a femtosecond laser," Opt. Lett. 21, 1729-1731 (1996), http://www.opticsinfobase.org/abstract.cfm?URI=ol-21-21-1729.
[CrossRef] [PubMed]

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

Ho, S.

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Horton, A.

J. Bland-Hawthorn and A. Horton, "Instruments without optics: an integrated photonic spectrograph," Proc. SPIE 6269, 62690N (2006).
[CrossRef]

Iyer, R.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Kanehira, S.

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

Kar, A. K.

Knox, W. H.

Kohtoku, M.

Künzler, J. F.

Leon-Saval, S. G.

Li, J.

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

MacPherson, W. N.

Marshall, G. D.

Maxwell, I.

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

Mazur, E.

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
[CrossRef]

Midorikawa, K.

Y. Cheng, K. Sugioka, and K. Midorikawa, "Freestanding optical fibers fabricated in a glass chip using femtosecond laser micromachining for lab-on-a-chip application," Opt. Express 13, 7225-7232 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-18-7225.
[CrossRef] [PubMed]

Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
[CrossRef]

Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
[CrossRef]

Miura, K.

K. M. Davis, K. Miura, N. Sugimoto, and K. Hirao, "Writing waveguides in glass with a femtosecond laser," Opt. Lett. 21, 1729-1731 (1996), http://www.opticsinfobase.org/abstract.cfm?URI=ol-21-21-1729.
[CrossRef] [PubMed]

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

Nasu, Y.

Ng, M. L.

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Nolte, S.

S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
[CrossRef]

Piper, J. A.

Psaila, N. D.

Reid, D. T.

Said, A.

Sakakura, M.

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

Schaffer, C. B.

C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
[CrossRef]

Shimotsuma, Y.

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

Sugimoto, N.

Sugioka, K.

Y. Cheng, K. Sugioka, and K. Midorikawa, "Freestanding optical fibers fabricated in a glass chip using femtosecond laser micromachining for lab-on-a-chip application," Opt. Express 13, 7225-7232 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-18-7225.
[CrossRef] [PubMed]

Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
[CrossRef]

Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
[CrossRef]

Thomson, R. R.

Tong, L.

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

Tsai, H. L.

Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
[CrossRef]

Tuennermann, A.

S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
[CrossRef]

Wang, Z.

Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
[CrossRef]

Will, M.

S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
[CrossRef]

Withford, M. J.

Zhang, H.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Zhang, L.

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

Appl. Opt. (1)

IEEE Photon. Technol. Lett. (1)

S. M. Eaton, W. Chen, L. Zhang, H. Zhang, R. Iyer, J. S. Aitchison, and P. R. Herman, "Telecom-band directional coupler written with femtosecond fiber laser," IEEE Photon. Technol. Lett. 18, 2174-2176 (2006).
[CrossRef]

J. Lightwave Technol. (1)

S. M. Eaton, W. Chen, H. Zhang, R. Iyer, M. L. Ng, S. Ho, J. Li, J. S. Aitchison, and P. R. Herman, "Spectral loss characterization of femtosecond laser written waveguides in glass with application to demultiplexing of 1300 and 1550 nm wavelengths," J. Lightwave Technol. (to be published).

Meas. Sci. Technol. (1)

C. B. Schaffer, A. Brodeur, and E. Mazur, "Laser-induced breakdown and damage in bulk transparent materials induced by tightly focused femtosecond laser pulses," Meas. Sci. Technol. 12, 1784-1794 (2001).
[CrossRef]

MNRAS (3)

J. R. Allington-Smith, "Strategies for spectroscopy on Extremely Large Telescopes - I. Image slicing", MNRAS 376,1099-1108 (2007).
[CrossRef]

S. C. Ellis and J. Bland-Hawthorn, "The case for OH suppression at near-infrared wavelengths," MNRAS 386, 47-64 (2008).
[CrossRef]

J. Corbett, T. Butterley, and J. R. Allington-Smith, "Fibre modal power distributions in astronomy and their application to OH-suppression fibres," MNRAS 378, 482-492 (2007).
[CrossRef]

Opt. Commun. (1)

L. Tong, R. R. Gattass, I. Maxwell, J. B. Ashcom, and E. Mazur, "Optical loss measurements in femtosecond laser written waveguides in glass," Opt. Commun. 259, 626-630 (2006).
[CrossRef]

Opt. Express (5)

Opt. Lett. (4)

Proc. SPIE (1)

J. Bland-Hawthorn and A. Horton, "Instruments without optics: an integrated photonic spectrograph," Proc. SPIE 6269, 62690N (2006).
[CrossRef]

Other (5)

S.  Nolte, M.  Will, J.  Burghoff, and A.  Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A - Mater. 77, 109-111 (2003).
[CrossRef]

M. Ams, P. Dekker, G. D. Marshall, and M. J. Withford, "A 100 mW monolithic Yb waveguide laser fabricated using the femtosecond laser direct-write technique," (2008), http://arxiv.org/abs/0809.4550v1.

Y. Cheng, H. L. Tsai, K. Sugioka, and K. Midorikawa, "Fabrication of 3D microoptical lenses in photosensitive glass using femtosecond laser micromachining," Appl. Phys. A - Mater. 85, 11-14 (2006).
[CrossRef]

Z. Wang, K. Sugioka, Y. Hanada, and K. Midorikawa, "Optical waveguide fabrication and integration with a micro-mirror inside photosensitive glass by femtosecond laser direct writing," Appl. Phys. A - Mater. 88, 699-704 (2007).
[CrossRef]

K. Miura, K. Hirao, Y. Shimotsuma, M. Sakakura, and S. Kanehira, "Formation of Si structure in glass with a femtosecond laser," Appl. Phys. A - Mater. 93, 183-188 (2008).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

Left – Cartoon of photonic spectrograph with a phased waveguide array as the disperser. Right – traditional spectrograph of the same overall dimensions, but worse spectral resolution.

Fig. 2.
Fig. 2.

Conceptual diagrams of (a) a highly dispersive 3D waveguide array and (b) an integrated OH-fluorescence filter. In both (a) and (b), the inscribed waveguides are green.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

δλ = [ ] δβ = s Γ f S [ ] = χ D T D S 1 Γ [ ]
R λ δλ = Γ D S D T λ χ [ ] 1
n ( sin α + sin β ) = mρλ
R G = D S χ D T ( sin α + sin β cos α ) = 2 D S tan γ χ D T
[ dy / dx ] + sin β = mρλ
R P = D S χ D T ( [ dy dx ] + sin β ) 1 cos β = D S χ D T [ dy dx ]

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