Metal-Plate Lens Refractive Index 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%
✖Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.ⓘ Spacing between Centers of Metallic Sphere [s]			+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 Lens Refractive Index [η_m]

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Formula

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Metal-Plate Lens Refractive Index

Formula

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

Example

`"0.851071"=sqrt(1-("20.54μm"/(2*"19.56μm"))^2)`

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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)
η_m = sqrt(1-(λ_m/(2*s))^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

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

η_m = sqrt(1-(λ_m/(2*s))^2) --> sqrt(1-(2.054E-05/(2*1.956E-05))^2)

Evaluating ... ...

η_m = 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)

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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

Metal-Plate Lens Refractive Index Formula

Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
η_m = sqrt(1-(λ_m/(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 η_m 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 (λ_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 η_m = sqrt(1-(λ_m/(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 (λ_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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