<p>The super Gaussian-based Goos–Hänchen shift is investigated in a tunneling five-level chiral atomic medium for left and right circularly polarized LCP/RCP beams. Crater-type reflection and transmission are reported for LCP and RCP beams. The power of super Gaussian plays a key role in the Goos–Hänchen shift. The highest level of negative reflection for RCP and LCP beams is calculated to be <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2024_8205_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="89" /> </InlineMediaObject> <EquationSource Format="TEX">\(R^{(\pm )}=-0.3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>R</mi> <mrow> <mo stretchy="false">(</mo> <mo>±</mo> <mo stretchy="false">)</mo> </mrow> </msup> <mo>=</mo> <mo>-</mo> <mn>0.3</mn> </mrow> </math></EquationSource> </InlineEquation>, and the highest of negative transmission for RCP and LCP beams is calculated to be <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2024_8205_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="89" /> </InlineMediaObject> <EquationSource Format="TEX">\(T^{(\pm )}=-1.5\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>T</mi> <mrow> <mo stretchy="false">(</mo> <mo>±</mo> <mo stretchy="false">)</mo> </mrow> </msup> <mo>=</mo> <mo>-</mo> <mn>1.5</mn> </mrow> </math></EquationSource> </InlineEquation>. The sum of coefficients of absorption, reflection, and transmission obeys the normalization condition, i.e., (A+R+T=1). Positive reflection and transmission shifts are reported for both LCP and RCP beams in five-level chiral atomic medium. The highest shift in reflection for RCP and LCP beams is investigated to <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2024_8205_Article_IEq3.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(+5.6 \lambda\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>+</mo> <mn>5.6</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation>, and the highest shift in transmission for RCP and LCP beams is investigated to <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2024_8205_Article_IEq4.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">\(+8.25 \lambda\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>+</mo> <mn>8.25</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation> in the position ranges of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2024_8205_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="152" /> </InlineMediaObject> <EquationSource Format="TEX">\(-1\upmu \textrm{m}\le x,y\le 1\upmu \textrm{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>-</mo> <mn>1</mn> <mi mathvariant="normal">μ</mi> <mtext>m</mtext> <mo>≤</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>≤</mo> <mn>1</mn> <mi mathvariant="normal">μ</mi> <mtext>m</mtext> </mrow> </math></EquationSource> </InlineEquation>. The obtained results are significant for optical sensors, photonics, plasmonics, and metamaterial technology.</p>

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Coherent manipulation of tunneling and super Gaussian based Goos–Hänchen shift in five level chiral atomic medium

  • Imdad Ullah,
  • Abdul Majeed,
  • Mhassen E. E. Dalam,
  • Mohammed M. A. Almazah,
  • Amir Ali

摘要

The super Gaussian-based Goos–Hänchen shift is investigated in a tunneling five-level chiral atomic medium for left and right circularly polarized LCP/RCP beams. Crater-type reflection and transmission are reported for LCP and RCP beams. The power of super Gaussian plays a key role in the Goos–Hänchen shift. The highest level of negative reflection for RCP and LCP beams is calculated to be \(R^{(\pm )}=-0.3\) R ( ± ) = - 0.3 , and the highest of negative transmission for RCP and LCP beams is calculated to be \(T^{(\pm )}=-1.5\) T ( ± ) = - 1.5 . The sum of coefficients of absorption, reflection, and transmission obeys the normalization condition, i.e., (A+R+T=1). Positive reflection and transmission shifts are reported for both LCP and RCP beams in five-level chiral atomic medium. The highest shift in reflection for RCP and LCP beams is investigated to \(+5.6 \lambda\) + 5.6 λ , and the highest shift in transmission for RCP and LCP beams is investigated to \(+8.25 \lambda\) + 8.25 λ in the position ranges of \(-1\upmu \textrm{m}\le x,y\le 1\upmu \textrm{m}\) - 1 μ m x , y 1 μ m . The obtained results are significant for optical sensors, photonics, plasmonics, and metamaterial technology.