<p>This study conducts an in-depth numerical investigation of a D-shaped butterfly-core photonic crystal fiber-based surface plasmon resonance (PCF-SPR) sensor, specifically designed for the precise and highly sensitive detection of refractive indices (RI) over a wide range. A key and notable feature of this study is the comparative analysis of three adhesive overlayers—titanium dioxide <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\((TiO_2)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <mi>i</mi> <msub> <mi>O</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, magnesium fluoride <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="58" /> </InlineMediaObject> <EquationSource Format="TEX">\((MgF_2)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>M</mi> <mi>g</mi> <msub> <mi>F</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and tantalum pentoxide <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\((Ta_2O_5)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <msub> <mi>a</mi> <mn>2</mn> </msub> <msub> <mi>O</mi> <mn>5</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> to optimize the sensor performance. Among these materials, the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\((Ta_2O_5)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <msub> <mi>a</mi> <mn>2</mn> </msub> <msub> <mi>O</mi> <mn>5</mn> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> layer proved most effective, significantly enhancing sensor performance when paired with gold (Au) as the primary plasmonic material. The sensor’s response was rigorously analyzed for both <i>x</i> and <i>y</i>-polarizations of the guided mode to ensure optimal functionality. In the RI range of 1.34–1.43, the proposed sensor demonstrates optimal performance, achieving a maximum wavelength sensitivity of 34,000 <i>nm</i>/<i>RIU</i> and an amplitude sensitivity of 493 <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\(RIU^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>R</mi> <mi>I</mi> <msup> <mi>U</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> within the RI range of 1.42–1.43. Furthermore, the highest birefringence obtained was <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="74" /> </InlineMediaObject> <EquationSource Format="TEX">\(2.8\times 10^{-3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2.8</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, while the figure of merit (FOM) and sensor resolution (SR) were optimized to 157 <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq7.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\( RIU^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>R</mi> <mi>I</mi> <msup> <mi>U</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11468_2025_2817_Article_IEq8.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(2.94\times 10^{-6}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2.94</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>6</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> <i>RIU</i>, respectively. Operating in the near-infrared region, this sensor features a compact and straightforward design, making it well-suited for practical applications. The findings of this study contribute to the advancement of efficient, high-performance, and cost-effective SPR sensors for diverse applications, including chemical analysis, environmental monitoring, and medical diagnostics.</p>

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Performance Analysis of a D-Shaped Butterfly-Core PCF-SPR Sensor for Dual Polarization Guided by Optimal Au-Ta2O5 Coating

  • Tonmoy Malakar,
  • Miss Nourin Nurain Amina,
  • Md Faiyaz Bin Hassan

摘要

This study conducts an in-depth numerical investigation of a D-shaped butterfly-core photonic crystal fiber-based surface plasmon resonance (PCF-SPR) sensor, specifically designed for the precise and highly sensitive detection of refractive indices (RI) over a wide range. A key and notable feature of this study is the comparative analysis of three adhesive overlayers—titanium dioxide \((TiO_2)\) ( T i O 2 ) , magnesium fluoride \((MgF_2)\) ( M g F 2 ) , and tantalum pentoxide \((Ta_2O_5)\) ( T a 2 O 5 ) to optimize the sensor performance. Among these materials, the \((Ta_2O_5)\) ( T a 2 O 5 ) layer proved most effective, significantly enhancing sensor performance when paired with gold (Au) as the primary plasmonic material. The sensor’s response was rigorously analyzed for both x and y-polarizations of the guided mode to ensure optimal functionality. In the RI range of 1.34–1.43, the proposed sensor demonstrates optimal performance, achieving a maximum wavelength sensitivity of 34,000 nm/RIU and an amplitude sensitivity of 493 \(RIU^{-1}\) R I U - 1 within the RI range of 1.42–1.43. Furthermore, the highest birefringence obtained was \(2.8\times 10^{-3}\) 2.8 × 10 - 3 , while the figure of merit (FOM) and sensor resolution (SR) were optimized to 157 \( RIU^{-1}\) R I U - 1 and \(2.94\times 10^{-6}\) 2.94 × 10 - 6 RIU, respectively. Operating in the near-infrared region, this sensor features a compact and straightforward design, making it well-suited for practical applications. The findings of this study contribute to the advancement of efficient, high-performance, and cost-effective SPR sensors for diverse applications, including chemical analysis, environmental monitoring, and medical diagnostics.