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- Title
Omni-directional and broadband acoustic anti-reflection and universal acoustic impedance matching.
- Authors
Im, Ku; Park, Q-Han
- Abstract
If HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math> ht is zero for all HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi> </mi></math> ht and HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math> ht , the acoustic impedance is matched universally. As shown in Figure 1, we consider a linear and time-independent medium possessing rotational symmetry about the HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math> ht -axis and translational symmetry in the HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mi>y</mi></math> ht -plane. Assuming HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi> </mi></math> ht and HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math> ht are constant, we may rewrite Eq. (2.1.6) as HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><msub><mo> </mo><mi>z</mi></msub><msub><mi>Z</mi><mtext>M</mtext></msub><mo>=</mo><mfrac><mi>i</mi><mi> </mi></mfrac><mfenced><msup><mi> </mi><mn>2</mn></msup><mo>-</mo><msup><mi> </mi><mn>2</mn></msup><msubsup><mi>Z</mi><mtext>M</mtext><mn>2</mn></msubsup></mfenced><mtext>for</mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mi> </mi><mo> </mo><mfrac><mi> </mi><mi>K</mi></mfrac><mfenced><mn>1</mn><mo>-</mo><mfrac><msup><mi>k</mi><mn>2</mn></msup><msup><mi> </mi><mn>2</mn></msup><mi> </mi><mo>/</mo><mi>K</mi></mfrac></mfenced><mo>,</mo><mtext> </mtext><mi> </mi><mo> </mo><msqrt><mi> </mi><mi> </mi><mi> </mi></msqrt></math> ht Graph (2.2.6)with the newly defined constants HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi> </mi><mo>,</mo><mi> </mi></math> ht .
- Subjects
IMPEDANCE matching; ACOUSTIC impedance; ANTIREFLECTIVE coatings; ABSORPTION of sound; ACOUSTIC reflection; BULK modulus
- Publication
Nanophotonics (21928606), 2022, Vol 11, Issue 9, p2191
- ISSN
2192-8606
- Publication type
Article
- DOI
10.1515/nanoph-2021-0650