Characterization of a large core photonic crystal fiber made of lead–bismuth–gallium oxide glass for broadband infrared transmission

We report on characterization of a large solid core, photonic crystal fiber dedicated to broadband transmission range from visible to mid-infrared. We have fabricated a multi-mode photonic crystal fiber, made of a heavy metal-oxide glass based on the PbO-Bi2O3-Ga2O3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {PbO}{-}\hbox {Bi}_{2}\hbox {O}_{3}{-}\hbox {Ga}_{2}\hbox {O}_{3}$$\end{document} system, modified with SiO2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {SiO}_{2}$$\end{document} and CdO, synthesized in-house, which shows good transmission up to 4.5μm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4.5\,\upmu \hbox {m}$$\end{document}, as well as good rheological properties that permit multiple thermal processing steps without crystallization. The core of the fiber is created by replacement of central 60 tubes with solid rods. The photonic cladding is composed of 8 rings of air holes with a filling factor of 0.42. Simulation results shows that the fiber can be used for broadband transmission in the range of 430–3,000 nm. Calculated effective mode area of the fiber is 295μm2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$295\,\upmu \hbox {m}^{2}$$\end{document}. We have measured attenuation of the fiber in the range 800–1,700 nm and its sensitivity to bending losses. Attenuation ranges from 1 to 4 dB/m in the considered range and bending losses are below 0.7 dB.


Introduction
In the last several years, large mode area (LMA) photonic crystal fibers (PCFs) have attracted a significant increase of attention from the research community. LMA PCFs are needed for high power beam delivery, where reduction of peak energy densities is necessary, and for collecting light over large areas and linking it to spectrometers or other optical systems, mainly in the near-infrared and mid-infrared spectral range. In conventional optical fibers, the mode area is limited by the accuracy in controlling low dopant concentrations in the fiber core. However, single mode performance with mode areas of 400 µm 2 at 1,550 nm has been reported (Baggett et al. 2001). An easier way for obtaining large mode area is to use PCF fibers, which do not suffer from constraints related to doping, in particular for shortwavelength applications, and can have no attenuation cut-off wavelength . In this case, the number of guided modes is determined by the geometrical properties of a photonic cladding, such as lattice constant and filling factor. Several successful approaches for the designing and fabrication of LMA PCFs have been reported (Ritari et al. 2003;Folkenberg et al. 2004;Chen 2007;Tan et al. 2008;Matsui et al. 2011). Recently, development of ultra large core PCFs have been presented with a mode area of 1,454 µm 2 (Napierała et al. 2011). Also LMA rod fibers are used in fiber amplifiers (Limpert et al. 2006). They can show extremely large effective mode areas up to 5,000 µm 2 (Jain et al. 2013), although their structures suffer from very large bending losses. Therefore only rigid fiber rods can be used in this case.
Most of the aforementioned research work focused on the designing and development of LMA PCFs for very limited wavelength ranges. Fibers investigated so far were commonly based on silica glass, which limits their application to the visible and near-infrared parts of spectrum. Furthermore, it is difficult to enlarge the effective mode area for broadband applications, because of the trade-off relationship between the cut-off wavelength and bending loss. To overcome this bottleneck Poli et al. considered a LMA PCF with a core with 19lattice-cell defect (Poli et al. 2011). The PCF with core diameter up to 100 µm are reported in this case.
Increasing number of MidIR sources and the demands of ulrabroadband spectroscopy and sensing, create a need for the development of new LMA PCFs, which can transmit also in the MidIR region (Waynant et al. 2001) and have low bending losses, with good mechanical properties and high resistance to laser damage.
To meet those needs, various soft glasses, such as chalcogenide, tellurite or heavy metal oxide glasses, can be used. The chalcogenide glasses offer transparency in the range 2−15 µm, however they have a tendency towards crystallization during thermal processing (Bureau et al. 2009;Rave et al. 2004;France et al. 1987). On the other hand, heavy metal oxide and tellurite glasses offer limited transmission in MidIR up to 5−6 µm, but they offer transparency in the visible from 500 nm and in all near-infrared spectrum (Stępień et al. 2011;Lorenc et al. 2008). In this paper we present a LMA PCF made of heavy metal oxide glass, dedicated to broadband guidance in the visible, near-and, in part, mid-infrared region with limited number of guided modes.

Design of the large more area photonic crystal fiber
We studied influence of the fiber structure on the modal properties, attenuation and effective mode area in terms of the lattice constant , filling factor f as well as size of the fiber core and size of the photonic cladding. The glass selection is determined by transmission and rheological properties. For fiber drawing, we used the lead-bismuth-gallium CS-740 glass synthesized in-house, that is chemically similar to the PBG08 glass, previously used for PCF development ). The CS-740 glass offers high transmission over 60 % in the broadband range between 430 and 4,500 nm ( Fig. 1). We have studied the fiber modal and dispersion properties, taking into account the material dispersion of bulk CS-740 glass through the Sellmeier coefficients (B 1 = 2.915, B 2 = 0.920, B 3 = −1.28, C 1 = 210.6, C 2 = 7.3 × 10 −3 , C 3 = 220.2), where the refractive index n is defined as: where λ denotes wavelength and B i and C i are Sellmeier coefficients. The modal and dispersion properties of the PCF are calculated using the finite difference method. This approach allows to optimise effective mode area for the fundamental mode and the prediction of the modal, polarization and dispersion properties of the PCF. It si well know that there is a trade off between effective mode area of the fundamental mode, number of guided modes and bending losses (Martynkien et al. 2007;Poli et al. 2011).
An optimal solution for the considered glass CS-740 is achieved for a structure with the core created by omitting 9 rings of air holes (60 elements) with a lattice constant of = 3.0 µm and a filling factor of f = 0.47 (Fig. 2). A photonic cladding with 8 rings of air holes is assumed. This structure is a good compromise between the only few guided modes, relatively large effective mode area and bending loss of the fundamental mode. In this case we predict an effective guidance of 3 modes in a range of 0.5-2.4 µm. The higher modes are not guided beyond 2.4 µm anymore and fibre becomes single mode. The effective mode area of the fundamental mode varies slightly with wavelength and practically remains the same for various filling factors of photonic cladding due to use of multiple defect core approach. The calculated effective mode area of the fundamental mode is 312 µm 2 at 1,550 nm (Fig. 3). In this case attenuation of the fibre structure is negligible-below 0.01 dB/km (material dispersion is not taken into account).

Manufacturing of the large mode area photonic crystal fiber
For the preform fabrication, we used circular glass capillaries with a diameter of 0.8 mm and a linear filling factor of f = 0.5, ordered in a hexagonal lattice. The core of the fiber was created by replacing 60 central capillaries with rods (9 elements in diameter). We have used the standard stack and draw technique, commonly employed for soft glass photonic crystal fiber development ). The fabricated subpreform consisted of 8 rings of air-holes. It had a total diameter of 3.6 mm with a photonic structure diameter of 2.2 mm (Fig. 4a). The lattice constant was 90 µm and air holes were 40 µm in diameter. The core diameter was 646 µm. The subpreform was placed inside an additional tube and processed into the final fiber at the drawing tower.
A final PCF with the outer diameter of 126 µm was obtained (Fig. 4b). Diameter of the photonic cladding is 76 µm, lattice constant is = 3.1 µm and air-hole diameter in the photonic cladding is d = 1.3 µm (filling factor d/ = 0.42). The diameter of the core is 21.5 µm. Fabricated fiber has a very regular structure with air-hole diameter variation below 5 % (Fig. 4c).
Linear modal properties of the fabricated fiber were calculated based on the real structure obtained with SEM. The simulation took into account all the structural deformations that occurred during the drawing process. In the modeling we also took into account the dispersion of bulk CS-740 glass. According to the obtained results the fiber guides efficiently 3 modes for the wavelength of up to 2.4 µm, similarly to previous simulation results obtained for ideal structures. Beyond cut-off wavelength of 2.4 µm only fundamental mode is guided. We calculated the effective refractive index for the fundamental mode of fiber up to 5 µm (Fig. 5). However calculated losses of the structure show rapid growth of attenuation for wavelengths over 3 µm (Fig. 6). This is a limit of the fiber performance in midIR. Effective mode area for the fundamental mode of the fiber is A e f f = 295 µm 2 . For the attenuation measurement the initial fiber length was 6 m. Measured attenuation are presented in Fig. 8. The attenuation in this spectral area ranges typically from 0.9 to 4 dB/m. We observe small oscillations of attenuation in all the spectrum and increase of attenuation at short wavelengths. Attenuation oscillations in LMA fiber originates from leakage losses and coupling between higher modes in the fiber. This phenomena was previously observed and described by Chen (2007). Ritari et al. also noted that attenuation oscillations are attributed to low resistance of investigated LMA PCF structure for bending and twisting (Ritari et al. 2003). Therefore measurement of bending loses in are important to verify properties of the developed fiber. A mandrel with a set of standard diameters was used for fiber bending (Fig. 9). The setup was aligned and optimized using tunable laser at 1,556 nm.
Bending losses measured for the fabricated LMA PCF are shown in Fig. 10. The bending loss for the particular bend radius R B in relation to the infinity radius R B∞ was measured (Fig. 7a). As an infinity a value of R B∞ = 200 mm was used (Schulze et al. 2013). The relative loss for increasing radii is decreasing, all of the measurements can be linearly fit with a good accuracy and the loss level remains below 0.7 dB per loop, as shown for 1,556 nm in Fig. 10b. The wavelength of 1,556 was selected since optimization of setup alignment was performed for this particular wavelength. The present oscillations can come from, as mentioned before, low robustness of the fiber or energy coupling between the fundamental mode and the cladding modes of respective symmetry arising due to reflection from boundary between the solid and holey part of the cladding as in conventional double-clad fiber, as well as, the fiber's angular twist (Martynkien et al. 2007;Olszewski et al. 2005). For twisted fiber the cladding modes have lower symmetry and propagate at larger distance from the core compared to untwisted fiber, so the coupling coefficient is much smaller and the oscillations are weaker.

Conclusions
A large mode area photonic crystal fiber was designed and fabricated using lead-bismuthgalate glass with enhanced transmission between 430 and 4,500 nm. The proposed fiber offers an advantage of broadband transmission range from visible till infrared range beyond transmission available in silica glass on one hand and chalcogenide glass on the other hand.
The core of the fiber was created by replacement of the 60 central capillaries with rods giving a core diameter of 21.5 µm. The effective mode area for the fundamental mode of the fiber is A eff = 295 µm 2 . The photonic cladding consists of 8 rings of air-holes with a diameter of 1.3 µm and a lattice constant of 3.1 µm. The measurements of the attenuation and relative bending loss for different bending radiuses of the fiber were shown. The attenuation in the range of 800-1,700 nm ranges from 0.9 to 4 dB/m and the bending loss are smaller than 0.7 dB per loop.