Metal-Plate Lens Refractive Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
ηm = sqrt(1-(λm/(2*s))^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Metal Plate Refractive Index - Metal Plate Refractive Index describes how much light or other electromagnetic waves slow down or change their speed when they pass through that material compared to their speed in a vacuum.
Incident Wave Wavelength - (Measured in Meter) - Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens.
Spacing between Centers of Metallic Sphere - (Measured in Meter) - Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.
STEP 1: Convert Input(s) to Base Unit
Incident Wave Wavelength: 20.54 Micrometer --> 2.054E-05 Meter (Check conversion here)
Spacing between Centers of Metallic Sphere: 19.56 Micrometer --> 1.956E-05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηm = sqrt(1-(λm/(2*s))^2) --> sqrt(1-(2.054E-05/(2*1.956E-05))^2)
Evaluating ... ...
ηm = 0.851070688253723
STEP 3: Convert Result to Output's Unit
0.851070688253723 --> No Conversion Required
FINAL ANSWER
0.851070688253723 0.851071 <-- Metal Plate Refractive Index
(Calculation completed in 00.004 seconds)

Credits

Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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Vellore Institute of Technology (VIT Vellore), Vellore
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Omnidirectional SIR
Go Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
Dielectric Constant of Artificial Dielectric
Go Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
Maximum Gain of Antenna given Antenna Diameter
Go Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Metal-Plate Lens Refractive Index
Go Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
Spacing between Centers of Metallic Sphere
Go Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
Overall Noise Figure of Cascaded Networks
Go Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1
Receiver Antenna Gain
Go Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Luneburg Lens Refractive Index
Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)
Likelihood Ratio Receiver
Go Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Frequency Reuse Ratio
Go Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
Directive Gain
Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
Signal to Co-channel Interference Ratio
Go Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent
Effective Aperture of Lossless Antenna
Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
Effective Noise Temperature
Go Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

Metal-Plate Lens Refractive Index Formula

Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
ηm = sqrt(1-(λm/(2*s))^2)

How is Metal-Plate Lens Refractive Index different from Normal Lens Refractive Index?

The refractive index of a metal-plate lens is different from that of a normal lens because metals do not exhibit the same refractive index behavior as dielectric materials. Metal plates are typically used for different purposes, such as reflection, waveguiding, or polarization control, rather than for focusing light to create images.

How to Calculate Metal-Plate Lens Refractive Index?

Metal-Plate Lens Refractive Index calculator uses Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2) to calculate the Metal Plate Refractive Index, Metal-Plate Lens Refractive Index is a property of materials that describes how they interact with light or electromagnetic waves by affecting the speed and direction of the waves as they pass through the material. Metal plates, by themselves, do not typically exhibit a refractive index in the same way that dielectric materials or transparent substances do. Metal Plate Refractive Index is denoted by ηm symbol.

How to calculate Metal-Plate Lens Refractive Index using this online calculator? To use this online calculator for Metal-Plate Lens Refractive Index, enter Incident Wave Wavelength m) & Spacing between Centers of Metallic Sphere (s) and hit the calculate button. Here is how the Metal-Plate Lens Refractive Index calculation can be explained with given input values -> 1 = sqrt(1-(2.054E-05/(2*19.56))^2).

FAQ

What is Metal-Plate Lens Refractive Index?
Metal-Plate Lens Refractive Index is a property of materials that describes how they interact with light or electromagnetic waves by affecting the speed and direction of the waves as they pass through the material. Metal plates, by themselves, do not typically exhibit a refractive index in the same way that dielectric materials or transparent substances do and is represented as ηm = sqrt(1-(λm/(2*s))^2) or Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2). Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens & Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.
How to calculate Metal-Plate Lens Refractive Index?
Metal-Plate Lens Refractive Index is a property of materials that describes how they interact with light or electromagnetic waves by affecting the speed and direction of the waves as they pass through the material. Metal plates, by themselves, do not typically exhibit a refractive index in the same way that dielectric materials or transparent substances do is calculated using Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2). To calculate Metal-Plate Lens Refractive Index, you need Incident Wave Wavelength m) & Spacing between Centers of Metallic Sphere (s). With our tool, you need to enter the respective value for Incident Wave Wavelength & Spacing between Centers of Metallic Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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