In this work a numerical analysis of the group delay response of the Bragg gratings written in tapered fibers is presented. In particular, a structure that is written in fiber that consist of two tapered transitions is considered. Similarly, to the single sided self-apodized gratings, a significant reduction of the group delay oscillations occurs due to the expansion of the modal field in the tapered region. Moreover, as a result of the symmetrical shape of the described structure, reduction of these oscillations occurs irrespective of the feeding direction of light. Both, tapered transitions slope and Bragg grating chirp are taken into account in respect to the limitations of the fabrication process.
In this paper an extensive study of the spectral response of the Fibonacci like Bragg gratings, that consist of multiple phase shifts, is presented. Namely in the presented analysis, for a grating with given physical parameters, a periodical structure is divided into N sections of constant length. For each section it is assumed that number of phase shifts is both distributed uniformly, and the index of section corresponds to the number of phase shifts in such a way, that for each next section number of phase shifts grows in accordance to the Fibonacci sequence. Both, symmetrical and asymmetrical structures are analyzed. For purpose of this analysis, a Coupled Mode Theory (CMT) together with Transfer Matrix Method (TMM) is employed.
This work focuses on numerical analysis of the possibility of the induction of the superstructure fiber Bragg gratings through applying of the pressing force. Namely, it is considered that a comb with given indent period is pressing on the fiber Bragg grating and as a result, due to the presence of the elasto-optic effect, local effective refractive index changes, leading to the change of the Bragg wavelength. In the presented numerical analysis it is assumed that incident light is polarized and either the whole energy of the signal is contained in the given linearly polarized mode or partially propagates in both linearly polarized modes. For the purposes of the presented analysis a Coupled Mode Theory (CMT) together with Transfer Matrix Method (TMM) and Jones Calculus has been employed.
This paper focuses on numerical analysis of the technological imperfections of the Bragg grating inscription process in the fiber. For such purposes, a Rouard method that allows for simulating a Bragg gratings section-by-section has been employed. The analysis presented in the paper includes considerations on the period instability of the grating together with variance of induced by UV exposure changes of the refractive index. As a result, an impact of these imperfections on the spectral responses has been examined, for both Gauss and Johnson distributions. The general motivation of this work is a proposition for novel process of the phase mask fabrication, what is also described in the following paper.
We report for the first time successful inscription of high reflectivity Bragg grating in nanostructured core active fiber. Nanostructurization of the fiber core allows to separate the active and photosensitive areas and to distribute them all over the core. As a result unfavorable clustering between germanium and ytterbium particles is avoided. The distribution of discrete glass areas with feature size smaller than λ/5 results in effectively continuous refractive index profile of the fiber core. We present a single-mode fiber with built-in Bragg grating for laser application with the core composed of ytterbium and germanium doped silica rods. The core structure is arranged as a regular lattice of 1320 doped with ytterbium and 439 doped with germanium silica glass rods. The average germanium doping level within the core of only 1.1% mol allowed efficient inscription of Bragg grating. The nanostructured core was 8.6 μm and the internal cladding was 112 μm in diameter coated with low index polymer to achieve the double-clad structure. In the first proof-of-concept in the laser setup we achieved 35 % of slope efficiency in relation to launched power for the fiber length of 18 m. The output was single-mode with spectrum width below 1 nm. The maximum output power limited by pumping diode was 2.3 W. The nanostructurization opens new opportunities for development of fibers with a core composed of two or more types of glasses. It allows to control simultaneously the refractive index distribution, the active dopants distribution and photosensitivity distribution in the fiber core.
The magnetic resonance imaging (MRI) technique is a powerful diagnostic tool which is nowadays commonly used in many fields of medicine. In some cases, especially of the patients of intensive care units, it is highly recommended or even necessary to provide continuous monitoring of basic physiologic parameters, mainly the heart rate and the respiratory rate, during the MRI scan procedure. The presence of a strong magnetic field within the MRI chamber requires application of non-standard devices and solutions. The monitoring system needs to be immune to the strong magnetic field and simultaneously cannot negatively influence on the results of the scan. Therefore, application of optical sensing technologies could be potentially advantageous to fulfil these requirements. In this work we propose a novel optoelectronic measurement system, dedicated to monitoring of the patient during an MRI scan, immune to strong magnetic field and compatible with the MRI apparatus.
Fiber Bragg gratings (FBGs) are used as the sensing elements – the strain induced by the patient’s respiration and cardiac activity cause a change of the Bragg wavelength. These changes can be accurately measured and monitored in the time domain. The respiratory and heart rate can be extracted by further processing of the measured signal by dedicated software. The gratings are organized in a network to maximize the effective sensing area. Each of the FBGs has a different Bragg wavelength so that they can be connected in series.
The information from the sensors is read out using an interrogator based on an application specific photonic integrated circuit (ASPIC), designed and fabricated in an InP-based generic integration technology. The interrogator comprises a 36-channel arrayed waveguide grating wavelength demultiplexer, which outputs are connected to PIN photodiodes. Such a photonic circuit acts as a spectrometer and allows to reconstruct the reflection spectrum of many gratings simultaneously. An external superluminescent LED is used as the light source, however in the target configuration the source could be monolithically integrated with the interrogator. The Bragg gratings, the interrogator and the SLED are connected with each other using an optical circulator.
Initial tests of the monitoring system have been performed using a single fiber Bragg grating as the strain sensor and a commercially available optoelectronic interrogator. The fiber with an inscribed FBG was mounted using an epoxy glue on a PMMA board and deployed under the patient. Two signals can be distinguished out of the measured waves. The first one, with strong and slowly-varying peaks, reflects the respiration of the patient. The second signal, characterized by low-intensity and fast-varying peaks is a result of the cardiac activity. No influence of the magnetic field of the MRI instrument on the sensing system has been observed. The first results have confirmed both the correctness of the approach and the applicability of the system to monitoring the patient’s physical condition during MRI diagnosis.
This work was supported by the National Centre for Research and Development, project OPTO-SPARE, grant agreement PBS3/B9/41/2015.
In the last two decades, integral and differential calculus of a fractional order has become a subject of great interest in different areas of physics, biology, economics and other sciences. The idea of such a generalization was mentioned in 1695 by Leibniz and L'Hospital. The first definition of the fractional derivative was introduced by Liouville and Riemann at the end of the 19th century. Fractional calculus was found to be a very useful tool for modelling the behaviour of many materials and systems. In this paper fractional calculus was applied to pharmacokinetic compartmental model. For introduced model determine all possible quasi-positive realisation based on one-dimensional digraph theory. The proposed method was discussed and illustrated in detail with some numerical examples.
Temperature measurement is regarded to be straightforward by means of standard electronic sensors, however, it becomes considerably more challenging if the sensor is exposed to strong electromagnetic interference or harsh environmental conditions such as e.g. chemical agents. In some cases, the problem may be solved by remote sensors, as pyrometers, but their application is conditioned by the possibility of the direct object observation, which is often excluded.
In this contribution a solution is presented which allows for the temperature tracking in the fiber optic system which facilitates temperature measurements of distant, subjected to the harsh environment objects by transferring their temperatures to the Peltier module. The idea of the system is to adjust the temperature of the reference FBG (at the measurement stage) to the temperature of the sensor FBG with the use of the Peltier module and thus recover its temperature to have it measured with an arbitrary method.
As all electronic part of the system can be installed far from the harsh environment and the system consists of low-cost optical and electronic components, the idea may be found competitive with other methods of the temperature measurements in onerous applications.
This paper presents a method for writing a Fabry-Perot (F-P) cavity in the tapered fiber. General idea for writing the F-P
cavity in tapered fiber is based on utilization of chirped tapered fiber Bragg gratings (CTFBG) in counter-directional
configuration. In such approach, the chirp resulting from tapered fiber and linearly increasing periods of the grating, cancel
each other out. Presented numerical results consists of qualitative model, that provides the general design approach, as
well as quantitative analysis, that allows for more detailed studies on presented structure. For this purpose Coupled Mode
Theory (CMT) together with Transfer Matrix Method (TMM) were utilized.
In this paper, the concept and experimental characterization of tilted fiber Bragg grating (TFBG) based sensor for temperature and liquid level measurement are presented. It is shown that, when liquid level increases the peak amplitudes of cladding modes linearly decreases (in dB). In turn, changes in temperature causes a shift of the TFBG transmission spectrum, which can be accurately measured by monitoring the Bragg wavelength corresponding to the liquid level independent core mode. The main advantages of proposed sensor are simple design as well as linear responses to liquid level and temperature.
In this paper, extensive study on the apodization of fiber Bragg gratings is presented. Particularly, not only influence of non-true and true apodization for gratings with uniform period is analyzed, but also the influence of both of these techniques impact on spectral properties of chirped gratings. Both numerical and experimental results are provided. For true apodized uniform gratings, impact on spectral response of true apodization is evaluated for three apodization windows, i.e. cos2, Gaussian and triangle.
This article presents implementation of the Simulated Annealing (SA) algorithm for tapered fiber Bragg gratings (TFBGs) design. Particularly, together with well-known Coupled Mode Theory (CMT) and Transfer Matrix Method (TMM) the algorithm optimizes the group delay response of TFBG, by simultaneous shaping of both apodization function and tapered fiber transition profile. Prior to the optimization process, numerical model for TFBG design has been validated. Preliminary results reveal great potential of the SA-based approach and with proper definition of the design criteria may be even applied for optimization of the spectral properties of TFBGs.
This paper presents a novel, simple, low-cost and repeatable quasi-distributed optical sensor system using specially designed fibre Bragg gratings (FBGs). The main idea consists in modulation of optical power by inscribed FBGs. The optical power changes with regard to outer parameters which have an influence on dedicated FBGs. The unique configuration is provided by proper characteristics of FBGs spectra. Instead of advanced and high-cost systems we demonstrate a concept of a low-cost sensor network using specially correlated FBGs.
In this article we present the preliminary studies for the flood embankment monitoring system based on the fibre Bragg gratings. The idea of the system is presented. The Bragg resonance shift is transformed to the change of the power detected by the standard InGaAs photodiode. The discrimination of the received power was executed by another fibre Bragg grating with different parameters. The project of the fully functional system is presented as well.
In this article we investigate impact of the four wave mixing effect on the quality of the signal in DWDM system, that uses standard G.652 fibre as an optical medium, in the 1310 nm wavelength domain. In particular influence of the fibre parameters like attenuation, chromatic dispersion slope and effective mode area were examined. Moreover, the impact of the input signal extinction ratio was investigated. Simulation were performed as a function of the input power per channel of the modulated signal and channel spacing of the DWDM network.
In this paper fiber ring lasers (FRL) as interrogation units for distributed fiber Bragg grating (FBG) based sensor networks are studied. In particular, two configurations of the fiber laser with erbium-doped fiber amplifier (EDFA) and semiconductor optical amplifier (SOA) as gain medium were analyzed. In the case of EDFA-based fiber interrogation systems, CW as well as active-mode locking operation were taken into account. The influence of spectral overlapping of FBGs spectra on detection capabilities of examined FRLs are presented. Experimental results show that the SOA-based fiber laser interrogation unit can operate as a multi-parametric sensing system. In turn, using an actively mode-locked fiber ring laser with an EDFA, an electronically switchable FBG based sensing system can be realized.
This article reviews fibre Bragg grating inscription techniques that utilizes the femtosecond laser pulse as well as properties of such structures. In particular, the two methods are presented, one that utilizes the phase mask technique, and the other one, based on the point by point inscription. Besides that, the thermal durability of such structures is presented. Moreover, complex structures are analyzed, with ablated cladding, what allows for high resolution measurements of the electromagnetic field.
In this work, numerical model of tapered fiber Bragg grating (TFBG) based on transfer matrix method (TMM) and coupled mode theory (CMT) is presented. It describes the behavior of TFBG when the axial strain is applied. In particular, the influence of various tensile forces on dispersion characteristics of tapered fiber Bragg gratings as fiber optic components with variable group delay were examined. Besides the numerical results, measured group delay characteristics are presented as well and compared with theoretical ones.
In this paper we show preliminary experimental studies on accelerated aging-tests of tapered fiber Bragg gratings (TFBG). Examined gratings were fabricated on tapered and then hydrogenated optical fibers using uniform phase mask and scanning technique. In particular, the impact of isothermal annealing of TFBGs on their spectral and dispersion characteristics was analyzed. Experimental results show that although reflectance levels of TFBGs significantly reduce due to the aging process, slopes of the group delay characteristics remain practically unchanged. New knowledge on spectral and dispersion characteristics of TFBGs written in hydrogen loaded optical fibers is important in possible applications, where long-term stability and reliability is required.
In this paper the numerical results of tapered fiber Bragg gratings modeling are shown. Presented model, based on
coupled mode theory and transfer matrix method for tapered fiber Bragg gratings, gives highly accurate results for
reflection width evaluation. Few simulations were made for three different configurations of tapered fiber Bragg
structures, as well as comparison between theoretical and experimental results.
This paper describes possible use of Sagnac interferometer, based on the polarization maintaining fiber, as an optical microphone. Operation of investigated setup is based on the refractive index changes induced by acoustic wave and fiber strain. In the conducted experiment, Sagnac interferometer working as an optical microphone was able to achieve 6 dB bandwidth up to 4.5 kHz. Possibilities for linear operation was examined as well. Experimental results are preceded by a mathematical analysis of the operating principles.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.