# Numerical calculation of analytic solutions for higher order modes in conical lines

##### Citations

8 citations

### Cites background from "Numerical calculation of analytic s..."

...• A proof of the cutoff wavelength equation, • Information on the numerical computation of the cutoff wavelengths [17], • Analytical field plots of some higher order modes which are unavailable in the literature....

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4 citations

### Cites background or methods from "Numerical calculation of analytic s..."

...It also shows a comparison of the exact cutoff radius, computed with the procedure given in [3], [6], with the approximate cutoff radius calculated using (1)....

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...Due to the complexity of the calculations required to calculate the exact cutoff radius, the exact procedure will not be repeated here, but the reader is referred to [3], [5], [6]....

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...In conical lines the cutoff of a mode is dependent on the radius as well as the frequency [3]–[6]....

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2 citations

### Cites background from "Numerical calculation of analytic s..."

...1) is still not satisfied, however, accurate results are still obtained due to the gradual cutoff exhibited by conical transmission lines [38]....

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##### References

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### "Numerical calculation of analytic s..." refers background in this paper

...The associated Legendre function of the first kind is defined as [13]...

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...It is shown in [13], that for complex degrees, orders and arguments, when Re(m) 20....

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481 citations