<p>A biosensor based on surface plasmon resonance (SPR) with triangular indentations is proposed to detect and identify five types of cancer cells, exhibiting refractive indices ranging from <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\varvec{1.368}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">1.368</mn> </mrow> </math></EquationSource> </InlineEquation> to <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\varvec{1.401}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">1.401</mn> </mrow> </math></EquationSource> </InlineEquation>. This advanced biosensor features a multi-layer architecture comprising BK<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\varvec{7}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">7</mn> </mrow> </math></EquationSource> </InlineEquation>/Ag/TiO<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(_{\varvec{2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn mathvariant="bold">2</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>/Al<InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(_{\varvec{2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn mathvariant="bold">2</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>O<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(_{\varvec{3}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn mathvariant="bold">3</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> grating and operates within the optical telecommunication band (OTB) (<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\varvec{1260}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">1260</mn> </mrow> </math></EquationSource> </InlineEquation>–<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\varvec{1625}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">1625</mn> </mrow> </math></EquationSource> </InlineEquation> nm). To enhance the biosensor’s performance, HeLa cells are employed as reference cells, and various parameters—including the angle of light incidence, the thickness of the Ag and TiO<InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(_{\varvec{2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn mathvariant="bold">2</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> layers, and grating specifications—are systematically analyzed to design a sensor with maximum sensitivity. The sensitivities achieved for the HeLa, Jurkat, PC-<InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(\varvec{12}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">12</mn> </mrow> </math></EquationSource> </InlineEquation>, MDA-MB-<InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(\varvec{231}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">231</mn> </mrow> </math></EquationSource> </InlineEquation>, and MCF-<InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(\varvec{7}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">7</mn> </mrow> </math></EquationSource> </InlineEquation> cells are <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(\varvec{9208.33}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">9208.33</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq20"> <EquationSource Format="TEX">\(\varvec{9714.28}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">9714.28</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(\varvec{10,857.14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">10</mn> <mo mathvariant="bold">,</mo> <mn mathvariant="bold">857.14</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq22"> <EquationSource Format="TEX">\(\varvec{11,785.71}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">11</mn> <mo mathvariant="bold">,</mo> <mn mathvariant="bold">785.71</mn> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq23"> <EquationSource Format="TEX">\(\varvec{12,214.28}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">12</mn> <mo mathvariant="bold">,</mo> <mn mathvariant="bold">214.28</mn> </mrow> </math></EquationSource> </InlineEquation> nm/RIU, respectively. Furthermore, the highest values for the sensor’s figure of merit (FoM) and quality factor (QF) are determined to be <InlineEquation ID="IEq24"> <EquationSource Format="TEX">\(\varvec{122.14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">122.14</mn> </mrow> </math></EquationSource> </InlineEquation>/RIU and <InlineEquation ID="IEq25"> <EquationSource Format="TEX">\(\varvec{14.53}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">14.53</mn> </mrow> </math></EquationSource> </InlineEquation>. The highest FoM is recorded for MCF-<InlineEquation ID="IEq26"> <EquationSource Format="TEX">\(\varvec{7}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn mathvariant="bold">7</mn> </mrow> </math></EquationSource> </InlineEquation> cell detection, while the maximum QF is observed for HeLa cell detection. Analysis of the electric field distribution under resonant conditions reveals that the sensor exhibits a strong electric field with a penetration depth of 500 nm. A comparative analysis of the proposed sensor against previous designs indicates a substantial enhancement in various performance parameters, including sensitivity, FoM, and QF.</p>

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Highly Sensitive Optical Surface Plasmon Resonance Biosensor Based on BK7/Ag/TiO\(_2\)/Al\(_2\)O\(_3\) Grating for Cancer Detection

  • Aram Khani,
  • Mohammad Razaghi,
  • Keyhan Hosseini,
  • Bashir Fotouhi

摘要

A biosensor based on surface plasmon resonance (SPR) with triangular indentations is proposed to detect and identify five types of cancer cells, exhibiting refractive indices ranging from \(\varvec{1.368}\) 1.368 to \(\varvec{1.401}\) 1.401 . This advanced biosensor features a multi-layer architecture comprising BK \(\varvec{7}\) 7 /Ag/TiO \(_{\varvec{2}}\) 2 /Al \(_{\varvec{2}}\) 2 O \(_{\varvec{3}}\) 3 grating and operates within the optical telecommunication band (OTB) ( \(\varvec{1260}\) 1260 \(\varvec{1625}\) 1625 nm). To enhance the biosensor’s performance, HeLa cells are employed as reference cells, and various parameters—including the angle of light incidence, the thickness of the Ag and TiO \(_{\varvec{2}}\) 2 layers, and grating specifications—are systematically analyzed to design a sensor with maximum sensitivity. The sensitivities achieved for the HeLa, Jurkat, PC- \(\varvec{12}\) 12 , MDA-MB- \(\varvec{231}\) 231 , and MCF- \(\varvec{7}\) 7 cells are \(\varvec{9208.33}\) 9208.33 , \(\varvec{9714.28}\) 9714.28 , \(\varvec{10,857.14}\) 10 , 857.14 , \(\varvec{11,785.71}\) 11 , 785.71 , and \(\varvec{12,214.28}\) 12 , 214.28 nm/RIU, respectively. Furthermore, the highest values for the sensor’s figure of merit (FoM) and quality factor (QF) are determined to be \(\varvec{122.14}\) 122.14 /RIU and \(\varvec{14.53}\) 14.53 . The highest FoM is recorded for MCF- \(\varvec{7}\) 7 cell detection, while the maximum QF is observed for HeLa cell detection. Analysis of the electric field distribution under resonant conditions reveals that the sensor exhibits a strong electric field with a penetration depth of 500 nm. A comparative analysis of the proposed sensor against previous designs indicates a substantial enhancement in various performance parameters, including sensitivity, FoM, and QF.