Spacing between Centers of Metallic Sphere Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens.ⓘ Incident Wave Wavelength [λ_m]			+10% -10%
✖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.ⓘ Metal Plate Refractive Index [η_m]			+10% -10%

✖Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.ⓘ Spacing between Centers of Metallic Sphere [s]

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Formula

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Spacing between Centers of Metallic Sphere

Formula

`"s" = "λ"_{"m"}/(2*sqrt(1-"η"_{"m"}^2))`

Example

`"72.8021μm"="20.54μm"/(2*sqrt(1-("0.99")^2))`

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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 = λ_m/(2*sqrt(1-η_m^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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 = λ_m/(2*sqrt(1-η_m^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)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 14 Radar Antennas Reception Calculators

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

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 = λ_m/(2*sqrt(1-η_m^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 (λ_m) & Metal Plate Refractive Index (η_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 = λ_m/(2*sqrt(1-η_m^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 (λ_m) & Metal Plate Refractive Index (η_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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