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Metal-Plate Lens Refractive Index Formula

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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. Check FAQs

η m = \sqrt{1 - {(\frac{λ m}{2 \cdot s})}^{2}}

η_m - Metal Plate Refractive Index?λ_m - Incident Wave Wavelength?s - Spacing between Centers of Metallic Sphere?

Metal-Plate Lens Refractive Index Example

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Here is how the Metal-Plate Lens Refractive Index equation looks like with Values.

Here is how the Metal-Plate Lens Refractive Index equation looks like with Units.

Here is how the Metal-Plate Lens Refractive Index equation looks like.

0.8511 = \sqrt{1 - {(\frac{20.54}{2 \cdot 19.56})}^{2}}

0.8511 = \sqrt{1 - {(\frac{20.54μm}{2 \cdot 19.56μm})}^{2}}

0.8511 = \sqrt{1 - {(\frac{20.54}{2 \cdot 19.56})}^{2}}

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Metal-Plate Lens Refractive Index Solution

Follow our step by step solution on how to calculate Metal-Plate Lens Refractive Index?

FIRST Step Consider the formula

η m = \sqrt{1 - {(\frac{λ m}{2 \cdot s})}^{2}}

Next Step Substitute values of Variables

∴

η m = \sqrt{1 - {(\frac{20.54μm}{2 \cdot 19.56μm})}^{2}}

Next Step Convert Units

∴

η m = \sqrt{1 - {(\frac{2.1E-5m}{2 \cdot 2E-5m})}^{2}}

Next Step Prepare to Evaluate

∴

η m = \sqrt{1 - {(\frac{2.1E-5}{2 \cdot 2E-5})}^{2}}

Next Step Evaluate

∴

η m = 0.851070688253723

LAST Step Rounding Answer

∴

η m = 0.8511

Metal-Plate Lens Refractive Index Formula Elements

Variables

Functions

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.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Metal Plate Refractive Index

Incident Wave Wavelength

Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens.

Symbol: λ_m

Measurement: WavelengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Incident Wave Wavelength

Spacing between Centers of Metallic Sphere

Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.

Symbol: s

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Spacing between Centers of Metallic Sphere

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.

Syntax: sqrt(Number)

Other formulas in Radar Antennas Reception category

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Spacing between Centers of Metallic Sphere

s = \frac{λ m}{2 \cdot \sqrt{1 - {η m}^{2}}}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Dielectric Constant of Artificial Dielectric

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

How to Evaluate Metal-Plate Lens Refractive Index?

Metal-Plate Lens Refractive Index evaluator uses Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2) to evaluate 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 evaluate Metal-Plate Lens Refractive Index using this online evaluator? To use this online evaluator for Metal-Plate Lens Refractive Index, enter Incident Wave Wavelength (λ_m) & Spacing between Centers of Metallic Sphere (s) and hit the calculate button.

FAQs on Metal-Plate Lens Refractive Index

What is the formula to find Metal-Plate Lens Refractive Index?

The formula of Metal-Plate Lens Refractive Index is expressed as Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2). Here is an example- 1 = sqrt(1-(2.054E-05/(2*19.56))^2).

How to calculate Metal-Plate Lens Refractive Index?

With Incident Wave Wavelength (λ_m) & Spacing between Centers of Metallic Sphere (s) we can find Metal-Plate Lens Refractive Index using the formula - Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2). This formula also uses Square Root (sqrt) function(s).

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Metal-Plate Lens Refractive Index Formula

Metal-Plate Lens Refractive Index Example

Metal-Plate Lens Refractive Index Solution

Metal-Plate Lens Refractive Index Formula Elements

Other formulas in Radar Antennas Reception category

How to Evaluate Metal-Plate Lens Refractive Index?

FAQs on Metal-Plate Lens Refractive Index

Variable Name