Parallel Waveguide Distance from Cutoff Wavenumber Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.ⓘ Mode Index [m]			+10% -10%
✖The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.ⓘ Cutoff Wavenumber [k_c]			+10% -10%

✖Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.ⓘ Parallel Waveguide Distance from Cutoff Wavenumber [d]

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Formula

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Parallel Waveguide Distance from Cutoff Wavenumber

Formula

`"d" = ("m"*pi)/"k"_{"c"}`

Example

`"0.0013m"=("4"*pi)/"9666.43Diopter"`

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Download Transmission Line & Antenna Theory Formulas PDF

Parallel Waveguide Distance from Cutoff Wavenumber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber
d = (m*pi)/k_c
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Parallel Waveguide Distance - (Measured in Meter) - Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.
Mode Index - Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.
Cutoff Wavenumber - (Measured in Diopter) - The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.

STEP 1: Convert Input(s) to Base Unit

Mode Index: 4 --> No Conversion Required
Cutoff Wavenumber: 9666.43 Diopter --> 9666.43 Diopter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (m*pi)/k_c --> (4*pi)/9666.43

Evaluating ... ...

d = 0.00130000120151485

STEP 3: Convert Result to Output's Unit

0.00130000120151485 Meter --> No Conversion Required

FINAL ANSWER

0.00130000120151485 ≈ 0.0013 Meter <-- Parallel Waveguide Distance

(Calculation completed in 00.004 seconds)

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Created by Ashwin V Pillai

Vellore Institute of Technology (VIT), Vellore

Ashwin V Pillai has created this Calculator and 2 more calculators!

Verified by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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< 15 Transmission Line & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Parallel Waveguide Distance from Cutoff Wavenumber Formula

Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber
d = (m*pi)/k_c

What is significance of parallel waveguide distance?

Significance of the separation distance between parallel waveguides lies in its impact on signal behavior, interference, and system performance. Engineers carefully consider and optimize this parameter based on the specific requirements of the application to achieve desired outcomes.

How to Calculate Parallel Waveguide Distance from Cutoff Wavenumber?

Parallel Waveguide Distance from Cutoff Wavenumber calculator uses Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber to calculate the Parallel Waveguide Distance, The Parallel Waveguide Distance from Cutoff Wavenumber formula is defined as the product of wave mode m and pi whole divided by cutoff wavenumber. Parallel Waveguide Distance is denoted by d symbol.

How to calculate Parallel Waveguide Distance from Cutoff Wavenumber using this online calculator? To use this online calculator for Parallel Waveguide Distance from Cutoff Wavenumber, enter Mode Index (m) & Cutoff Wavenumber (k_c) and hit the calculate button. Here is how the Parallel Waveguide Distance from Cutoff Wavenumber calculation can be explained with given input values -> 0.0013 = (4*pi)/9666.43.

FAQ

What is Parallel Waveguide Distance from Cutoff Wavenumber?

The Parallel Waveguide Distance from Cutoff Wavenumber formula is defined as the product of wave mode m and pi whole divided by cutoff wavenumber and is represented as d = (m*pi)/k_c or Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber. Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers & The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.

How to calculate Parallel Waveguide Distance from Cutoff Wavenumber?

The Parallel Waveguide Distance from Cutoff Wavenumber formula is defined as the product of wave mode m and pi whole divided by cutoff wavenumber is calculated using Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber. To calculate Parallel Waveguide Distance from Cutoff Wavenumber, you need Mode Index (m) & Cutoff Wavenumber (k_c). With our tool, you need to enter the respective value for Mode Index & Cutoff Wavenumber 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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