Question

The dispersion relation for the first two modes that can propagate in the guide of the figure is: $\beta = \sqrt{k^2 - (\frac{m\pi}{a})^2}$ a=2,3 cm $\mu_0, \epsilon_0$ b=1 mm It is desired to work in a frequency region for which the guide is single-mode, taking as limits for the working frequency the following conditions: i) at least 30% above the fundamental mode cutoff frequency ii) 30% below the frequency as follows What is the chosen frequency range?

          The dispersion relation for the first two modes that can propagate in the guide of the
figure is:
$\beta = \sqrt{k^2 - (\frac{m\pi}{a})^2}$
a=2,3 cm
$\mu_0, \epsilon_0$
b=1 mm
It is desired to work in a frequency region for which the guide is single-mode, taking as limits
for the working frequency the following conditions:
i) at least 30% above the fundamental mode cutoff frequency
ii) 30% below the frequency as follows
What is the chosen frequency range?

The dispersion relation for the first two modes that can propagate in the guide of the
figure is:
β = √(k^2 - ((mπ)/(a))^2)
a=2,3 cm
μ0, ϵ0
b=1 mm
It is desired to work in a frequency region for which the guide is single-mode, taking as limits
for the working frequency the following conditions:
i) at least 30% above the fundamental mode cutoff frequency
ii) 30% below the frequency as follows
What is the chosen frequency range?

Added by Christian M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aniket Bajaj

03/03/2022

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The fundamental mode occurs when m=1. Show more…

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The dispersion relation for the first two modes that can propagate in the guide of the figure is: eta =sqrt(k^(2)-((mpi )/(a))^(2)) It is desired to work in a frequency region for which the guide is single-mode, taking as limits for the working frequency the following conditions: i) at least 30% above the fundamental mode cutoff frequency ii) 30% below the frequency as follows What is the chosen frequency range? The dispersion relation for the first two modes that can propagate in the guide of the figure is: a=2.3cm mTt b=1mm It is desired to work in a frequency region for which the guide is single-mode,taking as limits for the working frequency the following conditions: i) at least 30% above the fundamental mode cutoff frequency ii30% below the frequency as follows What is the chosen frequency range?