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Nevanlinna functions in the theory of amplification Figotin, Alexander
Description
We know that the Nevanlinna (Herglotz) functions arise in physics in a fundamental way as an alternative representation of causality. We have discovered recently that they also relevant to the amplification phenomenon occurring in traveling wave tubes (TWTs). The Nevanlinna (Herglotz) functions represent there the so-called slow wave structure - a significant a component of the TWT. Though an ideal TWT system is perfectly conservative its energy functional turns out to be not positive definite. This explains the existence of exponentially growing in space eigenfunctions manifesting the amplification. The corresponding theory is intimately related to the Krein spectral theory.
Item Metadata
Title |
Nevanlinna functions in the theory of amplification
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-10T11:23
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Description |
We know that the Nevanlinna (Herglotz) functions arise in physics in a fundamental way as an alternative representation of causality. We have discovered recently that they also relevant to the amplification phenomenon occurring in traveling wave tubes (TWTs). The Nevanlinna (Herglotz) functions represent there the so-called slow wave structure - a significant a component of the TWT. Though an ideal TWT system is perfectly conservative its energy functional turns out to be not positive definite. This explains the existence of exponentially growing in space eigenfunctions manifesting the amplification. The corresponding theory is intimately related to the Krein spectral theory.
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Extent |
36.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of California at Irvine
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Series | |
Date Available |
2020-04-08
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0389770
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International