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Parallel Waveguide Distance from Cutoff Wavenumber Calculator

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Transmission Line and 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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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 00.018 seconds)

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Parallel Waveguide Distance from Cutoff Wavenumber Formula

LaTeX Go

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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