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Design and Performance Analysis of a Novel Hollow Core-Based Photonic Crystal Fiber for Edible Oil Sensing in the Terahertz (THz) Regime

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13 March 2024

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13 March 2024

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Abstract
This work proposes a hollow-core photonic crystal fiber-based edible oil sensor in the terahertz (THz) range (e.g., 1.0THz ≤ f ≤ 3.0THz) and different sensing characteristics are numerically analyzed. The suggested sensor’s performance was assessed by means of COMSOL Multiphysics, a commercial program that uses the finite element approach. The computational results indicate that the relative sensitivity is 85.591%, 84.648%, 82.625%, 82.683%, and 79.161%, respectively, at f = 2.2 THz, for several types of sunflower oil, mustard oil, coconut oil, olive oil and palm oil; and the corresponding effective areas are 7.22×10-8 um2, 7.09×10-8 um2, 6.83×10-8 um2,7.09×10-8 um2, 6.5231 ×10-8 um2. In addition, the effective material loss for sunflower oil, muster oil, coconut oil, olive oil, and palm oil has been found to be 0.02561 cm-1, 0.027054 cm-1, 0.030322 cm-1, 0.028854 cm-1 ,0.035427cm-1 respectively. Moreover, the proposed sensor also has low confinement loss are 1.55×10-8 dB/m, 1.63×10-8 dB/m, 1.31×10-8 dB/m, 1.99×10-8 dB/m, 4.0345×10-8 dB/m.This proposed sensor can be fabricated using extrusion and 3D-printing technologies, and due to its augmented detecting capabilities, it can be a vital part of oil sensing devices implemented in real life such as industry fields.
Keywords: 
Subject: Public Health and Healthcare  -   Public, Environmental and Occupational Health

Introduction

Edible oils are the most important part of our healthy deity. Edible oils are one of the major contributors of fat in our diet; it enhances the palatability of food, shelf-life and makes food tasty. The highly consumable edible oils are olive, muster, soybean, canola, and sunflower oil. it offers several health advantages, particularly for the skin, bone, brain and heart. It also includes omega-3 fatty acids and polyunsaturated fatty acids, both of which are beneficial to heart health, cognitive function and immunity [4]. This frying oil also includes vitamin k, which is essential for blood contraction, bone metabolism management and bone mass maintenance [5]. On the other hand, as soybean oil also includes omega-6 fatty acids, it might have certain adverse consequences when used excessively in food preparation. Unfortunately, a few fraudulent companies offer contaminated oil, resulting in a number of adverse health risks. However, since the colors of the cooking oils are almost identical, it is difficult to distinguish between them. Low-cost cooking oils (palm oil) are sometimes disguised as high-cost oils (mustard oil, sunflower oil, etc.) by adding color or chemical compounds that are toxic to humans. As a result, detecting pure edible oil is critical for reducing health risks and maintaining a healthy lifestyle [30]. Existing oil sensing methods often suffer from limitations such as low sensitivity, poor selectivity, and lack of real-time monitoring capabilities. These limitations pose significant challenges for environmental monitoring, oil spill detection, and industrial processes, impacting both environmental sustainability and industrial safety. There is a critical need for advanced sensing solutions capable of addressing these challenges and providing reliable and efficient oil detection and analysis capabilities. Photonic crystal fibers (PCFs) have gained much popularity in telecommunication and sensing applications because of their numerous remarkable optical properties, such as higher core power fraction, higher sensitivity, larger birefringence, lower effective material loss, lower scattering loss, etc. Since its development in 1996 [30], The proposed project aims to develop an innovative sensing system based on photonic crystal fiber (PCF) technology for the detection and analysis of oil contaminants in various environments. Photonic Crystal Fiber (PCF) has provided novel possibilities for improving photonic instruments for sensing and communication applications. The design of this kind of glass fiber offers the implementation of a wider range of optical properties, including indefinite single-mode operation, a higher effective core area, increased transparency, design flexibility, and low loss [4,5,6,7,8,9,10,11,12].
On the contrary, owing to their high sensitivity and small size, PCF-based sensor devices were used in a variety of potential real-world applications, such as chemical sensing, biological tissue diagnosis, cancer cell detection, etc. [30]. Due to its multiple prospective applications, a small region in the electromagnetic spectrum (0.1 to 10 THz) has recently gained widespread attention and is termed the terahertz (THz)radiation band [30]. Because this radiation band is between the infrared and microwave regions, it is often employed with no negative effects on humans or the environment [17]. As air lacks the absorbent qualities of this spectral range, it was first utilized as a medium for transmitting THz signals. Despite this, major issues such as dispersion, isolation, and transmitter-receiver alignment occurred when transmitting THz signals over long distances [18]. Several waveguides, such as parallel plate waveguides, metal waveguides, hollow-core waveguides, and PCFs, have been proposed to provide effective signal transmission throughout this spectral range [19,20,21]. THz PCF waveguide has higher transmission qualities than other waveguides because it absorbs less energy [22,23]. As a result, PCFs become a crucial component in THz signal’s transmission and these waveguides were recommended as sensors for various applications [24,25,26,27].
PCFs are frequently divided into three types: solid core ,porous core [30] and hollow-core [18,21]. Hollow-core PCF, on the other hand, is the finest choice for application purposes since it provides the greatest field of connectivity between the analyzer and the radiation. There have also been several studies of PCF-based liquid or chemical compound analyte sensors in the THz range.
Md. Bellal Hossain et al. details the development of a square-core photonic crystal fiber (PhCF) for sensing petrochemicals, focusing on liquid (petrochemical) sensing applications within the terahertz (THz) frequency range (1.2 to 3.8 THz). It emphasizes numerical study outcomes, showing a high relative sensitivity (~97%) and significantly low confinement loss at 3.7 THz, indicating its effectiveness in petrochemical detection. The study also mentions the potential for fabrication using extrusion and 3D printing technologies, highlighting the practical applicability of this PhCF sensor in identifying pure petrol, kerosene, and diesel, which are crucial for ensuring fuel quality and environmental safety [1].
Bikash Kumar Paul et al. presents a study on a Quasi-Photonic Crystal Fiber (Q-PCF) designed for terahertz (THz) spectrum chemical sensing, focusing on high relative sensitivity. It details the design, theoretical background, and numerical analysis of the Q-PCF using full-vector finite element method-based simulations. The sensor demonstrates improved sensitivity for detecting analytes like ethanol, benzene, and water, with relative sensitivity responses of 78.8%, 77.8%, and 69.7% respectively at 1.3 THz. The study also discusses the optimization of key parameters to achieve high performance, offering significant insights into THz spectrum chemical sensing applications [2].The document presents a study on designing a photonic crystal fiber (PCF) optimized for detecting hydrogen cyanide (HCN) gas, focusing on achieving high sensitivity and low confinement loss. The proposed PCF features circular air hole layers around the core, utilizing finite element method (FEM) simulations to predict its performance. Results indicate a high relative sensitivity (65.13%) and low confinement loss (1.5 ×10-3 dB/m) at a 1.533 µm wavelength, suggesting its suitability for industrial and medical applications requiring HCN detection.[8] Rakib Hossen et al. discusses a novel photonic crystal fiber (PCF) design for detecting alcohols like ethanol, butanol, and propanol using terahertz (THz) spectrum sensing. Utilizing a hexahedron core and heptagonal cladding with circular air holes, the PCF demonstrates high sensitivity and low confinement losses at 1 THz, making it suitable for various applications, including the food and beverage industry. The study highlights the potential of this PCF sensor in improving safety protocols by efficiently detecting alcohol in beverages[3].
Shuvo Sen et. Al. discusses the design and simulation of a Zeonex-based decagonal photonic crystal fiber (D-PCF) for chemical sensing in the terahertz (THz) range. It showcases the sensor's high relative sensitivity and low confinement losses for detecting ethanol, benzene, and water. Utilizing finite element method (FEM) simulations, the study demonstrates the D-PCF's potential for industrial and biomedical applications, particularly in gas sensing, by achieving better performance metrics compared to previous designs[17].
Ahmmed A. Rifat et. al. reviews on photonic crystal fiber (PCF) based plasmonic sensors, highlighting their development for enhanced sensitivity and specificity in detecting chemical and biological analytes. It delves into the fundamentals of PCF technology and surface plasmon resonance (SPR), outlining the advantages of PCF-SPR sensors over conventional methods. The review discusses various designs, fabrication techniques, and the potential future directions for these sensors, emphasizing their applications in fields like medical diagnostics, environmental monitoring, and food safety. It identifies current challenges in scaling up these technologies for commercial use and suggests pathways for future research.[12] Md. Saiful Islam et. al. presents a study on photonic crystal fiber (PCF) based sensors for detecting toxic chemicals, specifically focusing on cyanide detection in the terahertz (THz) frequency band. Utilizing Zeonex as the substrate, the research designs and evaluates two types of PCFs with different core structures for improved sensitivity and reduced fabrication complexity. The study highlights the potential of these sensors in industrial and medical applications for efficient and flexible detection of highly toxic substances, demonstrating the feasibility of fabrication with existing technologies.[19]
In this study, we propose a straightforward PCF oil-sensor model to overcome manufacturing difficulties and enhance relative sensitivity with minimal effective material loss. To find the appropriate design parameters that enable higher sensing qualities, we varied the strut size and simulation frequencies. It is simpler to incorporate a large volume of sensing material into the core of the suggested oil-sensor since the core region is made up of hexagonal hole. Moreover, the ideal strut size and circular and hexagonal air holes across the sensor significantly reduce the effect of fiber material on the sensor's wave-guiding capabilities [33].
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Figure 1. Block diagram representing the sequential steps of the proposed sensor model design and analysis.
Figure 1. Block diagram representing the sequential steps of the proposed sensor model design and analysis.
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Figure 2. Designed view of proposed Hollow Core-Based PCF edible oil detection sensor in two dimensions.
Figure 2. Designed view of proposed Hollow Core-Based PCF edible oil detection sensor in two dimensions.
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Figure 3. Meshing output with boundary condition of the suggested sensor.
Figure 3. Meshing output with boundary condition of the suggested sensor.
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Figure 4. Light Confinement in the PCF-based oil detection of the Proposed sensor ‘s core.
Figure 4. Light Confinement in the PCF-based oil detection of the Proposed sensor ‘s core.
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The light modes variation of the PCF sensor at x-pol and y-pol, respectively, is shown in Figure 5(a) and 5(b). when the proposed sensor is filled with sunflower, mustard, olive and palm oils, in that order. All of the figures showed that the light is highly restricted within the core, which is required for high sensitivity.

Design of the Proposed Sensor

The proposed hollow-core PCF features a single hexagonal-shaped air hole in the core of its structure, as shown in Figure 3. The cladding is the external ring of the fiber. This region is constituted with few layers of dielectric medium. Here perfectly three circular types air holes and one hexagonal shaped air holes are playacting the role of the dielectric medium. Total 5 layers air holes are utilized to accomplish the shape. The first layer of the cladding is formed with 12 circular air holes, second layer is formed d with 24 air holes, third layer is formed with 24 and fifth layer is formed 8 circular air holes and 8 hexagonal air holes. The dimeter of first to third layer air holes are d1= d2= d3=30[um] and fourth layer circular air hole dimeter is d4=70[um] and hexagonal air holes is d5=170[um].The distance of first layer from core is 210[um].Again the distance form first layer to second layer , second layer to third layer , third layer to fourth layer is 100[um]. In order to prevent back-reflection, a circle perfectly matched layer (PML) is placed at the fiber's external surface. This layer's function is to absorb light that leaks from the cladding's exterior surface. Zeonex was used as the ambient substance for the alleged oil detector due to its lowest loss and the most stable index of refraction (n = 1.53) between 0.1 and 3 THz. Zeonex is selected as the sensor's component because it has the maximum refractive index and transparency in the THz frequency range.

Mathematical Analysis

A simulation tool that is based on the full vector finite element technique (FV-FEM) is used to both develop and analyze the PCF sensor that was previously demonstrated. The PCF sensor is evaluated against with a range of frequencies (i.e., 1.0THz ≤ f ≤ 3.0THz) once the sensor structure is complete, the materials have been chosen, and the mesh analysis has been performed.
The parametric investigation of relative sensitivity, core power, effective area, nonlinearity, and effective material loss (EML) is discussed in this piece.
The Beer-Lambert law explains that the strength of radiation-matter interaction determines the sensitivity of the oil adulteration sensor. This working principle is used for the suggested sensor, where the measurements rely on the changes in the absorption coefficient at a specific frequency, as shown in Equation (1).
I f = L 0 f e − r α m l c
where I f   denotes the intensity of the radiation when the THz waveguide is filled with the SUT, L 0 (f ) is the intensity without the presence of SUT, r is the relative sensitivity of the sensor, α m is the absorption coefficient and l c is the length of the waveguide. Relative sensitivity is the most important characteristic since it represents the sensor’s ability to detect changes in the SUT (Sample Under Test).
A PCF fiber's effective area (EA) is an essential optical feature. We previously learned that the PCF configuration with a wider effective area (EA) exhibits greater relative sensitivity (RS). Thus, the effective area (EA) was calculated using the following equation [30]:
A eff   =     ∫ I r d r d d r d 2 ∫ I 2 r d d r d 2 ,   ( m 2 )
Where, Aeff is the effective area, I (r) is the cross-sectional electric field intensity, and I(rd) = |Et|2.
We knew that the PCF structure is where the whole power is transmitted. Now, we use the subsequent equation [30] to get the total power fraction (PF).
η = ∫ i S z dA ∫ all S z dA
In this instance, η displays the total power fraction, the core or cladding area is represented by the nominator integration. The total cross-sectional area is also determined by adding the pointing vector to the denominator S z   .
Confinement loss is another key factor of the PCF structure's optical characteristics. Moreover, the PCF based on less confinement loss (CL) has a better relative sensitivity (RS) to detect the substances quickly. Here, the confinement loss (CL) is calculated using the equation shown in [36]:
L c   =   8.686 × K 0   Im   n eff   dB / m
Here, K 0 = f c , the photon's speed is c, and the frequency is f. Furthermore, the effective refractive index, represented by the imaginary component Im(neff).
To detect the substances in a PCF structure, the relative sensitivity is the most important optical property. Therefore, we use the following mathematical expression [30] to compute the relative sensitivity (RS):
R   =   n r n eff × E
Where, nr and neff respectively represent the (RI) and Effective refractive index (ERI). Moreover, the total interaction between matter and light is estimated as [30],
E = ∫ sample R e E x H y − E x H y dxdy ∫ total R e E x H y − E x H y   dxdy × 100   %
Ex and Ey represent the electric fields of the x and y elements, whereas Hx and Hy represent the magnetic fields of the x and y modes.

Simulation Results and Discussion

The suggested wave guide electric field propagation is evaluated utilizing FEM along with the core through the sample under test (SUT). Table 1 shows the refractive index data for several oil sample types at room temperature. The basic components of this type of sensing device include a terahertz light source, an optical detector, a spectral analyzer, and a display unit. A laser light source with a limited bandwidth and an isotonic mixture of the testing data are required for optimal accuracy. Prior to turning on the light source, the data will be inserted into the core using any common technique. When the light beam has passed through into the wave guide and been detected by the photo detector, the analyzer will measure its power and determine its effective refractive index. Consequently, the required mathematical equations will be input into a computer, which will calculate the relative sensitivity of a suggested sensor and other guiding factors.
Measurement of the efficiency of our suggested oil sensor in relation to both frequency and design layout. The hexagonal core's diameter, which is set 170um, is primarily considered to be a measure of the relative sensitivity of the sensor. The research is conducted at a 2.2 THz frequency response.. According to Figure 4, the relative sensitivities of the suggested sensors— sunflower oil, muster oil, coconut oil, olive oil and palm oil —under ideal situations are, 85.591%, 84.648%, 82.625%, 82.683%, and 79.161%, respectively.
Figure 6 displays the suggested sensor's relative sensitivity at 170um core diameter for different working modes. Around 1 to 3 THz, the relative sensitivity increases fast, then decreases until it becomes almost consistent for all kinds of oils around 2.2 THz. When several lights propagate through the large indexed test because of the larger frequency electromagnetic wave's ability to cross greater indexed zones, the sensitivity rises. Here to maximum of our understanding, neither any findings have been published in the field that are greater than the relative sensitivity from over 85.591%, for all trials of the proposed sensor.
The EML design of the suggested sensor based on different core diameters and operating frequencies is depicted in Figure 7, accordingly. The above graphs demonstrate that EML at 2.2 THz decreases as core diameter increases because less resistivity can propagate across an expanding core. Consequently, the transfer of energy is decreased, and a small amount of light is retained by the solid material. The EML ranges from around 0.02561 cm-1, 0.035427cm-1 for various oil samples at the ideal core diameter, which is a narrow region. Nevertheless, oil with a more refractive index has a less EML because it permits lighter to travel through it under constant operating conditions than oil with a smaller refractive index. The sensor exhibits comparable sorts of characteristics at various operating frequencies, as illustrated in Figure 7 A smaller amount of light is captured by the solid substance between the core and cladding at greater frequencies because less light passes through the low indexed cladding area. This explains why higher frequencies have a smaller loss. The EML of the provided sensor is less than 0.02561 cm-1at 2.2 THz range and 170 um core diameters.
For different core diameters and working frequencies, Figure 8 shows the CL profile of the suggested oil sensor. In both cases, the amount of loss decreases when the x-axis parameter is increased because wider and higher-frequency cores enable larger amounts of light to reach the core. The suggested sensors CL for sunflower oil, muster oil, coconut oil, and olive oil is 1.55 ×10-8 dB/m, 1.63×10-8 dB/m, 1.31×10-8 dB/m, 1.99×10-8 dB/m, 4.0345×10-8 dB/m, respectively, at the optimal core diameter (170 um) and operating frequency (2.2THz).
The EML and CL are the two main losses in PCF-based sensors, as was before mentioned. The entire loss caused by the suggested sensor is shown in Figure 9. The overall losses provided by the sensor under ideal circumstances for various types of oil samples are 1.55 ×10-8 dB/m, 1.63×10-8 dB/m, 1.31×10-8 dB/m, 1.99×10-8 dB/m, 4.0345×10-8 dB/m respectively. This is better than the results of earlier studies in Refs. [8,9,10,11,12,13].
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Figure 9. The Power Fraction variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
Figure 9. The Power Fraction variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
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Figure 10. The effective area variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
Figure 10. The effective area variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
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Figure 11. Change of effective refractive index(real) with increasing frequency from 1.0 to 3.0 THz for different oil samples.
Figure 11. Change of effective refractive index(real) with increasing frequency from 1.0 to 3.0 THz for different oil samples.
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Figure 12. Change of effective refractive index(imaginary) with increasing frequency from 1.0 to 3.0 THz for different oil samples.
Figure 12. Change of effective refractive index(imaginary) with increasing frequency from 1.0 to 3.0 THz for different oil samples.
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A smaller effective area results from the light confinement becoming more concentrated at increasing operating frequency, f. When the frequency is increased from 0.9 THz to 2 THz, Figure 9 shows the effective area of the photonic crystal fiber for the ideal core diameter. According to the graph, the operation frequency and effective area are inversely connected. Within a constrained area of the fiber sensor, a high-frequency electromagnetic signal is produced. The effective area of the suggested sensor is around 6.83×10-8 um2 for all oil samples under optimum working circumstances, which is highly useful.
To compare the sensing and controlling qualities of the proposed sensor with the previously suggested PCF-based sensors, a comparison table (Table 2) is calculated. The following table shows that, in terms of relative sensitivity, the suggested sensor outperforms the presented chemical/liquid sensor by a significant amount. Subsequently a feasible way of manufacturing the suggested sensor is studied.
This hybrid sensor has a core that is hexagonal in form, as seen by the cross-sectional representation in Figure 2. The whole core and cladding holes solely depend on one constant (D), which reduces fabrication difficulty. Several very precise hexagonal photonic crystal fibers have been proposed and created by investigators utilizing a range of techniques [39]. Additionally, a variety of asymmetrically constructed PCFs have been created in the laboratory utilizing a variety of building techniques. It is evident from a detailed examination of those fibers that the manufactured PCFs are very comparable to our modeled PCF. Therefore, it is evident that a hybrid PCF may be made using the stack and sketch approach with respectable precision. When comparing the structure of our suggested PCF to that of the previously reported PCFs, it becomes clear that the suggested fiber may be generated in the laboratory with minimal difficulty. The suggested PCF's ideal fiber dimensions are close to 1 mm, indicating that the proposed sensor may be simply constructed in the laboratory. For this purpose, we advise employing the stack-and-draw technique to create these specialty fibers, since it allows for the accurate production of all PCF kinds in the laboratory environment.
From the table, our suggested oil sensor may result in a lower EML. Additionally, this sensor now has significantly better sensitivity, demonstrating the suitability of the sensor as it is currently being offered.

Conclusions

Pure and nutritious edible oil helps people live a secure and healthy life. However, some unethical dealers sell low-grade oil to make extra money at the expense of consumers’ health. Therefore, it is crucial to assess the quality of edible oil before human consumption. Therefore, a completely new structural PCF is suggested in this research to detect various food oils utilizing THz signals. Our proposed sensor offers a promising opportunity to advance oil sensing capabilities using photonic crystal fiber technology. Based on the numerical computations, the proposed sensor exhibits a relative sensitivity of 85.591%, 84.648%, 82.625%, 82.683%, and 79.161% for sunflower, mustard, coconut, olive and palm oil respectively, at 2.2 THz. Furthermore, under ideal geometric conditions, the fiber achieves minimal confinement loss and a low effective material loss of 0.02561 cm-1. Due to its high sensitivity and straightforward form, we strongly believe that the proposed sensor will be an effective device in the field of oil detection technologies.

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Figure 5. Light mode distribution of PCF-based oil detection of Proposed sensor.
Figure 5. Light mode distribution of PCF-based oil detection of Proposed sensor.
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Figure 6. The relative sensitivity variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
Figure 6. The relative sensitivity variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
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Figure 7. The EML variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
Figure 7. The EML variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
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Figure 8. The CL variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
Figure 8. The CL variation with frequency for different oil samples over the frequency ranging from 1.0 to 3.0 THz.
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Table 1. Refractive indices of different oil samples are under test at room temperature.
Table 1. Refractive indices of different oil samples are under test at room temperature.
Oil Type Refractive Index
Sunflower oil 1.4735
Mustard oil 1.4760
Coconut oil 1.463
Olive oil 1.466
Palm oil 1.454
Table 2. Comparison of sensing and guiding characteristics of PCF-based sensors.
Table 2. Comparison of sensing and guiding characteristics of PCF-based sensors.
Ref: Finalized frequency(f) / wavelength(λ) Sensing Sample Relative Sensitivity Effective Area Effective Material Loss Confinement Loss (dB/m)
[2] f=1.3 THz Ethanol, Benzene, Water 78.8%, 77.8%, and 69.7% – 0.0501 cm−1 2.19×10-10
[28] f=2.0 THz camel and cow milk 81.16% ,81.32% – 0.033 cm−1,0.032824 cm−1 8.675 × 10-18 cm−1,.435 × 10-18 cm−1
[31] f=1.0 THz Ethanol 68.87% - – 7.79 × 10−12 cm−1
[32] λ =1.33 µm Ethanol, Water and Benzene 53.22%, 48.19% and 55.56% 93,800 um2 0.03301 cm−1 -
[23] λ=0.6[um]-1.3[um] Human Mucosa and Glucose 47.31% and 47.59% - - -
[18] f=1.0 THz Ethanol, Benzene, water 78.56%, 79.76%, 77.51% - - 6.02 × 10-8 dB/m,5.80 × 10-8 8 dB/m, 5.74 × 10-8 dB/m
[3] λ=1.533 µm Hydrogencyanide gas 65.13% - - 1.5 × 10-3 dB/m
This work 2024 f=2.2 THz sunflower oil, mustard oil, coconut oil, olive oil and palm oil 85.591%, 84.648%, 82.625%, 82.683%, and 79.161%, 7.22×10-8 um2, 7.09 ×10-8 um2, 6.83×10-8 um2,7.09 ×10-8 um2, 6.5231 ×10-8 um2. 0.02561 cm-1, 0.027054 cm-1, 0.030322 cm-1, 0.028854 cm-1 ,0.035427cm-1 1.55 ×10-8 dB/m, 1.63×10-8 dB/m, 1.31×10-8 dB/m, 1.99×10-8 dB/m, 4.0345×10-8 dB/m,
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