Dielectric Constant of Artificial Dielectric Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Radius of Metallic Spheres is the measure of distance between the centre and the circumference of the metallic sphere used in artificial dielectric.ⓘ Radius of Metallic Spheres [a]			+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%

✖Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.ⓘ Dielectric Constant of Artificial Dielectric [e]

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Formula

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Dielectric Constant of Artificial Dielectric

Formula

`"e" = 1+(4*pi*"a"^3)/("s"^3)`

Example

`"1.006253"=1+(4*pi*("1.55μm")^3)/(("19.56μm")^3)`

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Dielectric Constant of Artificial Dielectric Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
e = 1+(4*pi*a^3)/(s^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dielectric Constant of Artificial Dielectric - Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.
Radius of Metallic Spheres - (Measured in Meter) - Radius of Metallic Spheres is the measure of distance between the centre and the circumference of the metallic sphere used in artificial dielectric.
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

Radius of Metallic Spheres: 1.55 Micrometer --> 1.55E-06 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

e = 1+(4*pi*a^3)/(s^3) --> 1+(4*pi*1.55E-06^3)/(1.956E-05^3)

Evaluating ... ...

e = 1.0062531436727

STEP 3: Convert Result to Output's Unit

1.0062531436727 --> No Conversion Required

FINAL ANSWER

1.0062531436727 ≈ 1.006253 <-- Dielectric Constant of Artificial Dielectric

(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

Dielectric Constant of Artificial Dielectric Formula

Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
e = 1+(4*pi*a^3)/(s^3)

How is Dielectric Constant of Artificial Dielectric affected?

The dielectric constant of an artificial dielectric, also known as a metamaterial, is affected by its structure and composition. Unlike traditional dielectric materials, which have fixed dielectric constants, artificial dielectrics are engineered to have specific properties. By designing the geometry and arrangement of their constituent materials, engineers can tailor the dielectric constant to be significantly different from natural materials.

How to Calculate Dielectric Constant of Artificial Dielectric?

Dielectric Constant of Artificial Dielectric calculator uses Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3) to calculate the Dielectric Constant of Artificial Dielectric, Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field, and it influences how waves, such as electromagnetic waves, propagate through the material, and in this case it can be both positive as well as negative and it can also be anisotropic, meaning it may have different values along different axes. Dielectric Constant of Artificial Dielectric is denoted by e symbol.

How to calculate Dielectric Constant of Artificial Dielectric using this online calculator? To use this online calculator for Dielectric Constant of Artificial Dielectric, enter Radius of Metallic Spheres (a) & Spacing between Centers of Metallic Sphere (s) and hit the calculate button. Here is how the Dielectric Constant of Artificial Dielectric calculation can be explained with given input values -> 1.030292 = 1+(4*pi*1.55E-06^3)/(1.956E-05^3).

FAQ

What is Dielectric Constant of Artificial Dielectric?

Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field, and it influences how waves, such as electromagnetic waves, propagate through the material, and in this case it can be both positive as well as negative and it can also be anisotropic, meaning it may have different values along different axes and is represented as e = 1+(4*pi*a^3)/(s^3) or Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3). Radius of Metallic Spheres is the measure of distance between the centre and the circumference of the metallic sphere used in artificial dielectric & Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.

How to calculate Dielectric Constant of Artificial Dielectric?

Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field, and it influences how waves, such as electromagnetic waves, propagate through the material, and in this case it can be both positive as well as negative and it can also be anisotropic, meaning it may have different values along different axes is calculated using Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3). To calculate Dielectric Constant of Artificial Dielectric, you need Radius of Metallic Spheres (a) & Spacing between Centers of Metallic Sphere (s). With our tool, you need to enter the respective value for Radius of Metallic Spheres & 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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