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Using the known "looking glass" transformation property (z → 2π − z, y → 2π − y) of the optical phase thickness z and y of matching layers of two-layer anti-reflection coating, together with the fact that optical characteristics of any film do not change after addition of a half-wavelength layer, we designed dual-band anti-reflection coatings transparent at any preset wavelengths λ1 and λ2.
A new wave equation is derived for both metallic and non-metallic (polymeric) materials, usually employed for the matching layers of airborne ultrasonic transducer.
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The simulation geometry consisted of a spherical far-field scattering domain with a radius of 500 nm, a perfectly matched layer of 350-nm thickness, and clusters of AuNPs whose center coordinates are supplied in Additional file 1: Table S2.
Two cases are considered: (i) the transducer emits a pressure wave in water and it is composed of a graded piezoceramic disk, and backing and matching layers made of homogeneous materials; (ii) the transducer has no backing and matching layer; in this case, no external load is simulated.
Numerical algorithms are generated to grid the domain and are complemented by a discussion of the use of perfectly matched layers to model the infinite background fluid; it is demonstrated that it is preferable not to directly attach the layer directly to the cylinder.
The acoustic impedances of matching layers, their internal loss and vibration amplitude are the most important and influential parameters in the performance of high power airborne ultrasonic transducers.
However, the introduction of these matching layers modify the transducer surface behaviour and, consequently, radiation characteristics are altered, making the usual idealization criteria (of uniform surface movement) adopted for field simulation purposes inaccurate.
For viscoelastic materials, both material and geometric dispersion are possible when the diameter of the matching layer is of the same order as the wavelength.
A matching layer structure of polishing head was calculated and designed.
In our studies we used custom built PZT ultrasound transducers (d = 35 mm) having a single quarter-wave matching layer, a center frequency of 0.53 MHz, and a −6 dB fractional bandwidth of 65% with two peaks (0.44 MHz, 0.66 MHz).
When the 5.5 wt%CB doped SiO2f/PI composite is used as the matching layer with a thickness of 0.7 mm and 15 wt%CB doped SiO2f/PI composite is used as the absorption layer with a thickness of 0.9 mm, the RL (reflection loss) of the composite reaches a minimum value of −46.18 dB at 16.07 GHz.
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