Spacing between Centers of Metallic Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
s = λm/(2*sqrt(1-ηm^2))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Incident Wave Wavelength: 20.54 Micrometer --> 2.054E-05 Meter (Check conversion here)
Metal Plate Refractive Index: 0.99 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = λm/(2*sqrt(1-ηm^2)) --> 2.054E-05/(2*sqrt(1-0.99^2))
Evaluating ... ...
s = 7.2802099754356E-05
STEP 3: Convert Result to Output's Unit
7.2802099754356E-05 Meter -->72.802099754356 Micrometer (Check conversion here)
FINAL ANSWER
72.802099754356 72.8021 Micrometer <-- Spacing between Centers of Metallic Sphere
(Calculation completed in 00.004 seconds)

Credits

Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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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
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Luneburg Lens Refractive Index
Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)
Likelihood Ratio Receiver
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Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
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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

Spacing between Centers of Metallic Sphere Formula

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

Why is Spacing between Centers of Metallic Sphere essential?

The spacing between the centers of these metallic spheres is a crucial factor in determining the lens's properties, such as its focal length, resolution, and other optical characteristics. The exact spacing will depend on the specific design parameters and the desired optical performance.

How to Calculate Spacing between Centers of Metallic Sphere?

Spacing between Centers of Metallic Sphere calculator uses Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)) to calculate the Spacing between Centers of Metallic Sphere, Spacing between Centers of Metallic Sphere of a Metal Plate Lens are often engineered to serve as subwavelength resonators and are a key component of the metamaterial design and are usually very small compared to the incident wave wavelength. Spacing between Centers of Metallic Sphere is denoted by s symbol.

How to calculate Spacing between Centers of Metallic Sphere using this online calculator? To use this online calculator for Spacing between Centers of Metallic Sphere, enter Incident Wave Wavelength m) & Metal Plate Refractive Index m) and hit the calculate button. Here is how the Spacing between Centers of Metallic Sphere calculation can be explained with given input values -> 2E-5 = 2.054E-05/(2*sqrt(1-0.99^2)).

FAQ

What is Spacing between Centers of Metallic Sphere?
Spacing between Centers of Metallic Sphere of a Metal Plate Lens are often engineered to serve as subwavelength resonators and are a key component of the metamaterial design and are usually very small compared to the incident wave wavelength and is represented as s = λm/(2*sqrt(1-ηm^2)) or Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)). Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens & 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.
How to calculate Spacing between Centers of Metallic Sphere?
Spacing between Centers of Metallic Sphere of a Metal Plate Lens are often engineered to serve as subwavelength resonators and are a key component of the metamaterial design and are usually very small compared to the incident wave wavelength is calculated using Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)). To calculate Spacing between Centers of Metallic Sphere, you need Incident Wave Wavelength m) & Metal Plate Refractive Index m). With our tool, you need to enter the respective value for Incident Wave Wavelength & Metal Plate Refractive Index 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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