The present disclosure relates to a tellurite glass with low thermal expansion and high thermal stability and a preparation process thereof, belonging to the technical field of glass materials and preparation. More particularly, the present invention relates to a process is used for fabricating Chloro Alkali Phosphate Doped/Codoped by rare earth ions for optical laser amplifiers.
Several researchers created low dispersion, reasonably high refractive index phosphate glasses over a century and a half. Comparing alkaline earth phosphate glasses to silicate glasses, the former demonstrated interesting features that resulted from their amazing transparency to UV, Vis, NIR, IR light.
The usage of amorphous alkali phosphates in various industrial applications, such as clay processing and pigment manufacture, raised interest in them in the 1950s. These applications included sequestering agents for mineral water treatments.
The foundation for understanding the nature of phosphate glasses has been established by a researcher. A new phase in phosphate glass research started in with the development of solid-state lasers in the 1960s. Certain compositions are the preferred materials, especially for high power laser applications, since they exhibit large rare-earth stimulated emission cross-sections and low thermo-optical coefficients (compared with silicate glasses).
In addition, there are several related to technology uses for phosphate glasses. Composes of zinc phosphate may be co-formed with high-temperature polymers to create unique organic/inorganic composites, and they have processing temperatures below 400° C. and chemical durability.
The phosphate glasses have becoming more popular as nuclear waste hosts due to their low processing temperature and chemical durability.
The phosphorus oxynitride and amorphous lithium phosphate glasses are valuable as solid-state electrolytes due to their high ion conductivity. In addition, rare earth chemical solubility in phosphate glasses is much greater than in silicate oxide-based glasses. Specifically, because of their many beneficial qualities, including their high gain coefficients and very high solubility for rare earth ions, phosphate glasses were shown to be an ideal device for the amplification of RE ion luminescence. This was especially evident when compared to tellurite glasses.
It is generally believed that rare earth elements, which have been incorporated in the empty space between [PO4] tetrahedral, function as network modifiers in the glasses. The cationic field strength (CFS) of the lanthanide elements varies constantly with their atomic number due to an ongoing decrease of their ionic radii with increasing atomic number.
Active rare earth elements including ytterbium and neodymium are doped into host glass systems to generate laser glasses. Because of the stimulated emission of the excited rare earth element ions inside the glass, these rare earth doped laser glasses are able to produce lasing. The following materials have also been used as host glass matrix systems for lasing ions: tellurite, silicates, borates, boro-silicates, and aluminates.
In view of the foregoing discussion, it is portrayed that there is a need to have a process for fabricating Chloro Alkali Phosphate Doped/Codoped by rare earth ions for optical laser amplifiers. The phosphate glass composition activated with different rare earth, such as Eu3+, and/or Er3+, Yb3+ and Nd3+.
The present disclosure seeks to provide an easy-to-use preparation process, a low melting temperature, economical manufacturing, good thermal stability, and superior anticrystallization optical performance. undoped and doped Chloro Alkali Phosphate glass doped with (Eu, Er Yb, Nd) and co-doped (Eu/Er, Eu/Yb, Eu/Nd) and its preparation method. The resulting glass exhibits excellent lasing material, low OH, chemical durability, and anticrystallization. The invention also refers to a laser glass that has been doped with Er, Yb, Nd, Eu, or any combination of these dopants, with a peak emission wavelength and appropriate lasing characteristics. Additionally, the glass created by this innovation has a rather broad full width at half maximum (FWHM) emission of fluorescence. This glass's characteristics make it appropriate for creating planar waveguides and superior optical fibers.
In an embodiment, a composition for fabricating Chloro Alkali Phosphate Doped/Codoped by rare earth ions for optical laser amplifiers is disclosed. The composition includes 38-42 wt. % of Phosphorus pentoxide (P2O5); 28-32 wt. % of Zinc oxide (ZnO); 9-11 wt. % of Barium fluoride (BaF2); 17-19 wt. % of Lithium chloride (LiCl); and 1-3 wt. % of Lead(II) fluoride (PbF2).
In another embodiment, a process for fabricating Chloro Alkali Phosphate Doped/Codoped by rare earth ions for optical laser amplifiers is disclosed. The process includes mixing 38-42 wt. % of Phosphorus pentoxide (P2O5), 28-32 wt. % of Zinc oxide (ZnO), 9-11 wt. % of Barium fluoride (BaF2), 17-19 wt. % of Lithium chloride (LiCl), and 1-3 wt. % of Lead(II) fluoride (PbF2). The process further includes filling a silica, platinum, and alumina crucible to the mixture. The process further includes heating the mixture upon increasing a furnace temperature to 1000-1050° C. at a rate of 10° C. per minute and maintaining it for two hours to melt the glass. The process further includes pouring the glass melt into a preheated stainless steel mold at 350° C. and transferring the mold to a holding furnace heated to 350-370° C. and annealing for two hours thereby cooling to room temperature to obtain Chloro Alkali Phosphate matrix glass that is undoped, doped, or codoped with high thermal stability.
An object of the present disclosure is to produce glass compositions with a low glass transition temperature, facilitating ease of processing and use in various applications.
Another object of the present disclosure is to achieve a specific refractive index tailored for optical applications, ensuring optimal light propagation characteristics.
Another object of the present disclosure is to enhance the chemical durability of the glass compositions, enabling long-term stability and resistance to degradation in harsh environments. The invention targets glass compositions with high thermal stability, capable of withstanding elevated temperatures without significant alteration in their properties.
Another object of the present disclosure is to optimize the lasing parameters of the glass compositions, including fluorescence lifetime, emission wavelength, gain, and bandwidth, to enable efficient laser amplification.
Yet another object of the present invention is to deliver an expeditious and cost-effective glass composition suitable for fabricating optical laser glasses spanning the UV-Vis-NIR and IR spectra, adaptable to different pumping excitation wavelengths and rare earth ion combinations.
To further clarify the advantages and features of the present disclosure, a more particular description of the invention will be rendered by reference to specific embodiments thereof, which are illustrated in the appended drawings. It is appreciated that these drawings depict only typical embodiments of the invention and are therefore not to be considered limiting of its scope. The invention will be described and explained with additional specificity and detail in the accompanying drawings.
These and other features, aspects, and advantages of the present disclosure will become better understood when the following detailed description is read concerning the accompanying drawings in which like characters represent like parts throughout the drawings, wherein:
Further, skilled artisans will appreciate those elements in the drawings are illustrated for simplicity and may not have necessarily been drawn to scale. For example, the flow charts illustrate the method in terms of the most prominent steps involved to help to improve understanding of aspects of the present disclosure. Furthermore, in terms of the construction of the device, one or more components of the device may have been represented in the drawings by conventional symbols, and the drawings may show only those specific details that are pertinent to understanding the embodiments of the present disclosure so as not to obscure the drawings with details that will be readily apparent to those of ordinary skill in the art having the benefit of the description herein.
To promote an understanding of the principles of the invention, reference will now be made to the embodiment illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended, such alterations and further modifications in the illustrated system, and such further applications of the principles of the invention as illustrated therein being contemplated as would normally occur to one skilled in the art to which the invention relates.
It will be understood by those skilled in the art that the foregoing general description and the following detailed description are exemplary and explanatory of the invention and are not intended to be restrictive thereof.
Reference throughout this specification to “an aspect”, “another aspect” or similar language means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment of the present disclosure. Thus, appearances of the phrase “in an embodiment”, “in another embodiment” and similar language throughout this specification may, but do not necessarily, all refer to the same embodiment.
The terms “comprises”, “comprising”, or any other variations thereof, are intended to cover a non-exclusive inclusion, such that a process or method that comprises a list of steps does not include only those steps but may include other steps not expressly listed or inherent to such process or method. Similarly, one or more devices or sub-systems or elements or structures or components proceeded by “comprises . . . a” does not, without more constraints, preclude the existence of other devices or other sub-systems or other elements or other structures or other components or additional devices or additional sub-systems or additional elements or additional structures or additional components.
Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. The system, methods, and examples provided herein are illustrative only and not intended to be limiting.
Embodiments of the present disclosure will be described below in detail concerning the accompanying drawings.
In an embodiment, a composition for fabricating Chloro Alkali Phosphate Doped/Codoped by rare earth ions for optical laser amplifiers is disclosed. The composition includes 38-42 wt. % of Phosphorus pentoxide (P2O5); 28-32 wt. % of Zinc oxide (ZnO); 9-11 wt. % of Barium fluoride (BaF2); 17-19 wt. % of Lithium chloride (LiCl); and 1-3 wt. % of Lead(II) fluoride (PbF2).
In one embodiment, the weight amount of the P2O5, ZnO, BaF2, LiCl, PbF2, is preferably, 40%, 30%, 10%, 18%, and 2%, respectively.
The composition is doped with 35000 ppm R2O3 where R is selected from Eu, Er, Yb, Nd whereas codoped with 35000 ppm R2O3 where R is selected from Eu/Er, Eu/Yb, Eu, Nd.
Referring to
At step 104, process 100 includes filling a silica, platinum, and alumina crucible to the mixture.
At step 106, process 100 includes heating the mixture upon increasing a furnace temperature to 1000-1050° C. at a rate of 10° C. per minute and maintaining it for two hours to melt the glass.
At step 108, process 100 includes pouring the glass melt into a preheated stainless steel mold at 350° C. and transferring the mold to a holding furnace heated to 350-370° C. and annealing for two hours thereby cooling to room temperature to obtain Chloro Alkali Phosphate matrix glass that is undoped, doped, or codoped with high thermal stability.
In one embodiment, the mold is preferably of a stainless steel, wherein a batch material in the crucible is covered to reduce OH— groups in the glass melt.
In another embodiment, the produced Chloro Alkali Phosphate glass has a low glass transition temperature ranging from 370 to 394° C.
Yet, in another embodiment, the mixture of 40% P2O5-30% ZnO-10% BaF2-18% LiCl-2% PbF2 doped with 35000 ppm R2O3 where R is selected from Eu, Er, Yb, Nd whereas codoped with 35000 ppm R2O3 where R is selected from Eu/Er, Eu/Yb, Eu, Nd.
In one embodiment, the glass composition PZnBaLiPbEu—Er exhibits the highest thermal stability of 124-171° C., wherein the optical energy gap of the produced glass doped with Yb ion is 4.472 eV, wherein the dispersion energy (Ed) of the produced glass falls within the range of 13.32 to 16.08 eV, and the Sellmeier energy (Es) ranges from 6.54 to 9.95 eV, wherein the produced glass compositions are suitable hosts for lasing optical amplifiers in the UV to NIR band based on their lasing parameters, thermal stability, chemical durability, and low-cost fabrication method.
In one embodiment, the mixture is subjected to a controlled atmosphere during the heating stage, specifically in an inert argon or nitrogen gas environment, to minimize oxidation of the constituent materials and prevent contamination of the glass melt, ensuring a uniform composition with minimal defect states and enhanced optical clarity, and wherein the rate of temperature increase in the furnace is precisely controlled using a programmable logic controller (PLC) with a temperature fluctuation tolerance of ±1° C. to ensure uniform heating throughout the mixture, thereby preventing localized overheating or thermal stresses that could lead to phase separation or microcracks within the glass matrix.
In one embodiment, the process further comprises pre-treating the Phosphorus pentoxide (P2O5) to remove any adsorbed moisture content by preheating at 200-250° C. in a vacuum desiccator for a period of one hour prior to mixing, thereby reducing the potential for hydrolysis reactions during the high-temperature melting process; and a secondary annealing process after the initial two-hour annealing period, wherein the mold is gradually cooled at a controlled rate of 2° C. per minute to a temperature of 250° C. before being allowed to cool to room temperature in a desiccated environment, to reduce internal stresses and improve the mechanical durability of the glass.
In one embodiment, the produced glass is subjected to a high-precision polishing procedure post-annealing, utilizing a series of progressively finer diamond abrasives down to 0.1 μm grit size, to achieve a surface roughness (Ra) of less than 5 nm, enhancing the glass's suitability for high-precision optical applications requiring minimal surface scattering, and wherein the mixture doped with 35000 ppm of R2O3, where R is selected from Eu, Er, Yb, Nd, and co-doped with Eu/Er, Eu/Yb, or Eu/Nd, is stirred continuously using a mechanical stirrer with a platinum-coated shaft at a speed of 50-100 RPM during the heating phase to ensure homogeneous distribution of dopants and prevent phase segregation within the glass matrix.
In one embodiment, the mixture of Phosphorus pentoxide (P2O5), Zinc oxide (ZnO), Barium fluoride (BaF2), Lithium chloride (LiCl), and Lead(II) fluoride (PbF2) is subjected to an ultrasonic agitation treatment at a frequency of 20-25 kHz for 15-20 minutes prior to heating to promote thorough mixing and de-agglomeration of the powder constituents, ensuring a homogeneous distribution of components and reducing the likelihood of phase separation during the melting process, and wherein the heating of the mixture is performed in a two-zone furnace, where the initial preheating zone gradually raises the temperature to 600° C. at a rate of 5° C. per minute to remove any volatile impurities, followed by a rapid transition to the high-temperature melting zone set at 1000-1050° C., thereby optimizing the thermal profile to prevent thermal shock and enhance the glass forming ability of the composition.
In one embodiment, the produced glass melt is subjected to a controlled magnetic stirring using a magnetically coupled stirring system with a rotation speed of 150-200 RPM during the pouring process into the stainless steel mold, to maintain uniform temperature distribution and prevent the formation of thermal gradients within the molten glass, ensuring a consistent microstructure throughout the glass body, and wherein the thermal stability of the PZnBaLiPbEu—Er glass composition is further enhanced by doping with 0.1-0.5 wt. % of rare-earth oxides such as Cerium oxide (CeO2) or Samarium oxide (Sm2O3), which act as nucleating agents to control crystallization during the cooling phase, thereby refining the glass microstructure and improving resistance to devitrification.
In one embodiment, the glass melt, after pouring into the preheated stainless steel mold, undergoes a rapid quenching process in a controlled atmosphere chamber filled with an inert gas mixture of argon and helium at a pressure of 0.8-1 atm, to achieve a high cooling rate that inhibits crystallization and maintains the amorphous nature of the Chloro Alkali Phosphate matrix glass.
In one embodiment, the process further comprises a step of subjecting the annealed glass to an electron beam irradiation process at an energy level of 2-3 MeV for 5-10 minutes to induce defect healing and improve the glass's optical transparency and photoluminescence properties by minimizing point defects and color centers that could arise during the high-temperature processing, and wherein the mixture doped with 35000 ppm R2O3, where R is selected from Eu, Er, Yb, Nd, and co-doped with Eu/Er, Eu/Yb, or Eu/Nd, is subjected to a high-frequency microwave-assisted synthesis process during the mixing phase, applying microwave radiation at 2.45 GHz to enhance the diffusion rates of the dopants into the glass network, leading to improved homogeneity and increased optical activation efficiency.
In one embodiment, the mold used for pouring the glass melt is pre-coated with a release agent comprising a thin layer of boron nitride (BN) to prevent adhesion between the glass and the mold surface, thereby facilitating easy demolding and reducing the risk of surface imperfections or defects on the final glass product, wherein the prepared Chloro Alkali Phosphate matrix glass is further treated with a chemical strengthening bath containing a molten mixture of potassium nitrate and sodium nitrate salts at a temperature of 450-500° C., followed by a rapid cooling phase in a chilled oil bath, to induce surface compression layers that enhance the glass's mechanical toughness and resistance to surface scratches and fractures.
In one embodiment, the mixture is subjected to an ion-beam-assisted deposition (IBAD) treatment during the mixing phase, where a directed beam of ions such as Argon or Oxygen ions is applied to the mixture, enhancing the bonding energy between Phosphorus pentoxide (P2O5) and Zinc oxide (ZnO) molecules, thereby increasing the structural integrity and chemical durability of the resulting Chloro Alkali Phosphate matrix glass, and wherein the heating step includes a stepwise thermal cycling protocol in which the temperature is repeatedly increased and decreased in controlled increments of 50° C. up to the target temperature of 1000-1050° C., creating a controlled thermal shock environment that refines the microstructure of the glass matrix by promoting uniform nucleation and preventing large crystalline growth.
In one embodiment, the mixture is doped with dual rare-earth elements in a controlled ratio of 1:1, and subjected to a high-temperature plasma annealing step post-melting, where the glass melt is exposed to a high-energy plasma environment at 1200° C. for 10 minutes, which activates rare-earth ions into higher oxidation states, significantly enhancing the photoluminescence and lasing properties of the glass for ultraviolet to near-infrared (UV-NIR) applications, and wherein the annealing step is performed under a fluctuating magnetic field of 1-2 Tesla, generated by an external electromagnetic coil, to induce magnetic domain alignment within the doped ions in the glass, thereby creating anisotropic optical properties that improve light amplification and signal gain for specific wavelengths in optical amplifier applications.
In one embodiment, the Lead(II) fluoride (PbF2) content is precisely calibrated and introduced in a stepwise manner during the heating phase, using a computer-controlled feeder mechanism to gradually increase the PbF2 concentration in the melt, thereby controlling the refractive index gradient and enhancing the optical dispersion properties of the glass for specific refractive index matching applications, and wherein the process further comprising an ultrasonic cavitation treatment of the glass melt immediately after pouring into the stainless steel mold, where the mold is subjected to ultrasonic waves at 40 kHz frequency for 5 minutes to reduce the viscosity of the glass melt and promote rapid degassing, thereby minimizing the formation of microbubbles and ensuring a defect-free, optically transparent glass matrix.
In one embodiment, the glass melt is mixed with nano-sized silica particles (10-50 nm) during the final 10 minutes of the heating phase, utilizing a high-shear mixing apparatus that operates at 10,000 RPM, to enhance the mechanical strength and thermal shock resistance of the glass without compromising its optical properties, thereby making it suitable for high-power laser applications, and wherein the Chloro Alkali Phosphate glass matrix is further coated with a thin film of antireflective material using atomic layer deposition (ALD), where layers of hafnium oxide (HfO2) and silicon dioxide (SiO2) are alternately deposited at sub-nanometer thicknesses to achieve a broadband antireflective surface with reduced Fresnel reflections, enhancing the efficiency of optical transmission in photonic devices.
In one embodiment, the cooling step in the holding furnace is performed in a gradient-controlled manner, where the temperature of the furnace is reduced at varying rates across different sections of the glass mold, creating a gradient thermal environment that induces compressive stress layers on the glass surface, significantly improving the glass's resistance to crack propagation and mechanical failure under thermal cycling conditions, and wherein the composition is subjected to a dual laser irradiation process, involving simultaneous irradiation with both a continuous wave laser at 532 nm and a pulsed laser at 1064 nm, during the final phase of annealing, to selectively modify the electronic band structure and enhance the non-linear optical properties of the glass, such as second harmonic generation and two-photon absorption.
The present invention aims to provide an easy-to-use preparation process, a low melting temperature, economical manufacturing, good thermal stability, and superior anticrystallization optical performance. undoped and doped Chloro Alkali Phosphate glass doped with (Eu, Er Yb, Nd) and co-doped (Eu/Er, Eu/Yb, Eu/Nd) and its preparation method.
The following materials made, in mole percent composition, the rare earth ion-doped chloro alkali phosphate matrix glass with good thermal stability of the present invention:
The preparation method of produced with high thermal stability according to the present invention includes the following step 1:
The equivalent raw material weights are weighed and combined uniformly to create a combination in accordance with the intended composition ratio and the molar ratio of each component.
Fill the silica, platinum, and alumina crucible with the mixture from the previous stage. Then, increase the furnace's temperature to 1000-1050° C. at a rate of 10° C. per minute, and maintain it there for two hours to melt the glass;
To obtain Chloro Alkali Phosphate matrix glass that is undoped, doped, or codoped with high thermal stability, pour the glass melt that is obtained in the second step into a mold that has been preheated to 350° C. The mold should then be moved to a holding furnace that has been heated to 350-370° C. and annealed for two hours. After that, the temperature should be cooled to room temperature using the furnace.
In this method for preparing glass according to the present invention, the mold is a stainless steel.
The produced glass has low glass transition temperature in the range 370 to 394° C. comparing with other phosphate glasses prepared before.
The glass PZnBaLiPbEu—Er has highest thermal stability, (ΔT=Tc−Tg), where, ΔT=171° C.
In this invention, the density and refractive index, Sellmeier energy, Es, dispersion energy Ed, and optical energy gap in (eV) of produced glass is stimulated.
The large value of optical energy gap (Eg=4.472 eV) corresponded to produced glass PZnBaLiPb doped with Yb ion.
In this invention, the value of dispersion energy, Ed, of produced glass is in the range between 13.32-16.08 eV. Furthermore, the value of Sellmeier energy, Es, recorded from 6.54 to 9.95 eV.
In this invention, the lasing parameters such as, the measured fluorescence lifetime, The peak emission wavelength (λpeak, nm), effective bandwidths (Δλeff, nm), FWHM, The fluorescence lifetime (τmes, μs), Peak emission cross-section (×10−25 cm2), Gain, optical gain (σe×τmes)×10−25 cm2 ms, and gain bandwidth (σe×Δλeff)×10−25 cm2 of transition level of doped and undoped Chloro Alkali Phosphate stimulated, PZnBaLiPb
Therefore, in this invention, the producer of these glass could be suitable hosts for the lasing optical amplifier in the range from UV to NIR band from the results such as lasing parameters, thermal stability, chemical durability and low cost method of fabrication.
The energy gap of the undoped glass PZnBaLiPb recorded a value equal to 4.37 eV. The doping of the glass with Eu2O3 oxides decrease this value to 4.2 (
The emission spectrum of the glass PZnBaLiPb doped with Eu2O3 oxide shows an interesting emission intensity under an excitation wavelength of 395 nm (
The emission spectrum of the glass PZnBaLiPb doped with Er2O3 oxide shows an interesting emission intensity under an excitation wavelength of 385 nm (
Yb3+ ion contains only two states and has strong absorption at ˜976 nm and a resonant fluorescent emission is observed at this wavelength. On the other hand, Eu3+ ions do not absorb 976 nm radiation and so, it does not show any fluorescence when excited with 395 nm wavelength. However, in the presence of a trace amount of Yb3+ ions (35000 ppm) and of Eu3+ ions (35000 ppm), the emission spectrum exhibits a broad red emission centered at ˜970 nm due to the cooperative emission of Yb3+ ions and a strong orange/red emission of Eu3+ ion corresponding to 5D0→7Fi (i=0 to 4) transitions, as depicted in
The emission spectrum of the glass PZnBaLiPb doped with Eu2O3 oxide shows an interesting emission intensity under an excitation wavelength of 395 nm (
Contrary, with the addition of Eu2O3 to the glass PZnBaLiPb—Nd, the emission spectrum of the glass PZnBaLiPbNd_Eu under an excitation wavelength of 585 nm (FIG. 16) shows an emission intensity more intense than the emission intensity of PZnBaLiPb—Nd. The 4F3/2→4I11/2 transition has been predominant among other transitions. It can be concluded that the intensity of the codoped glass increase with the ET between these ions.
In this invention preparation glass composition with high concentration of both halides ions F and Cl to reduce OH molecules in the glass matrix
The produced glass in this invention with composition 40% P2O5-30% ZnO-10% BaF2-18% LiCl-2% PbF2-35000 ppm R2O3 (R=Eu, Er, Yb, Nd, Eu/Er, Eu/Yb, Eu/Nd).
In this invention the production glass has wide optical energy gap (4.16-4.472 eV) hence, it is superior host material of homogeneity and solubility of rare ions.
The produced glass in this invention has low glass transition temperature compared with other glass system pure phosphate, silicate and borate glass.
In this invention the produced glass is superior thermal stability material with high anticrystallization (ΔT in the range from 124 to 171° C.
The advantage of the glass in this invention has high transmission related to halides ions F and Cl in the glass matrix
The glass PZnBaLiPb—Er has the peak emission wavelength at (λpeak=1534 nm), effective bandwidths (Δλeff=47.4 nm), FWHM=37.69 nm, The fluorescence lifetime at (τmes=100 μs), emission cross-section (4.22×10−21 cm2), Gain=5.22 cm−1, optical gain (σe×τmes=0.422×10−21 cm2 ms), and gain bandwidth (σe×Δλeff=201.29×10−21 cm2)
The glass PZnBaLiPb—Er—Eu has the peak emission wavelength at (λpeak=1538 nm), effective bandwidths (Δλeff=45.14 nm), FWHM=43.52 nm, The fluorescence lifetime at (τmes=97 μs), emission cross-section (4.49×10−21 cm2), Gain=5.19 cm−1, optical gain (σe×τmes=0.435×10−21 cm2 ms), and gain bandwidth (σe×Δλeff=202.68×10−25 cm2)
Acknowledgements: The authors extend their appreciation to University Higher Education Fund for funding this research work under Research Support Program for Central labs at King Khalid University
The drawings and the forgoing description give examples of embodiments. Those skilled in the art will appreciate that one or more of the described elements may well be combined into a single functional element. Alternatively, certain elements may be split into multiple functional elements. Elements from one embodiment may be added to another embodiment. For example, orders of processes described herein may be changed and are not limited to the manner described herein. Moreover, the actions of any flow diagram need not be implemented in the order shown; nor do all of the acts necessarily need to be performed. Also, those acts that are not dependent on other acts may be performed in parallel with the other acts. The scope of embodiments is by no means limited by these specific examples. Numerous variations, whether explicitly given in the specification or not, such as differences in structure, dimension, and use of material, are possible. The scope of embodiments is at least as broad as given by the following claims.
Benefits, other advantages, and solutions to problems have been described above about specific embodiments. However, the benefits, advantages, solutions to problems, and any component(s) that may cause any benefit, advantage, or solution to occur or become more pronounced are not to be construed as a critical, required, or essential feature or component of any or all the claims.