Linearly polarized modes of a corrugated metallic waveguide

Elizabeth J. Kowalski; David S. Tax; Michael A. Shapiro; Jagadishwar R. Sirigiri; Richard J. Temkin; Timothy S. Bigelow; David A. Rasmussen

doi:10.1109/TMTT.2010.2078972

Linearly polarized modes of a corrugated metallic waveguide

Elizabeth J. Kowalski, David S. Tax, Michael A. Shapiro, Jagadishwar R. Sirigiri, Richard J. Temkin, Timothy S. Bigelow, David A. Rasmussen

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

A linearly polarized (LP_mn) mode basis set for oversized, corrugated, metallic waveguides is derived for the special case of quarter-wavelength-depth circumferential corrugations. The relationship between the LP_mn modes and the conventional modes HE_mnEH _mnTE_0nTM_0n) of the corrugated guide is shown. The loss in a gap or equivalent miter bend in the waveguide is calculated for single-mode and multimode propagation on the line. In the latter case, it is shown that modes of the same symmetry interfere with one another, causing enhanced or reduced loss, depending on the relative phase of the modes. If two modes with azimuthal (m) indexes that differ by one propagate in the waveguide, the resultant centroid and the tilt angle of radiation at the guide end are shown to be related through a constant of the motion. These results describe the propagation of high-power linearly polarized radiation in overmoded corrugated waveguides.

Original language	English
Article number	5597962
Pages (from-to)	2772-2780
Number of pages	9
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	58
Issue number	11 PART 1
DOIs	https://doi.org/10.1109/TMTT.2010.2078972
State	Published - Nov 2010

Funding

The authors wish to thank their anonymous referees for all of their invaluable comments and suggestions. They would also like to thank Chulmin Kim and NexR Co. Ltd for their help in conducting some of the experiments in this study. The work presented in this paper was supported by MKE (Ministry of Knowledge Economy, Republic of Korea), Project No. A1100-0901-1710.

Funders	Funder number
Ministry of Knowledge Economy

Keywords

Corrugated waveguide
linearly polarized modes
miter bends
oversized waveguide

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10.1109/TMTT.2010.2078972

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title = "Linearly polarized modes of a corrugated metallic waveguide",

abstract = "A linearly polarized (LPmn) mode basis set for oversized, corrugated, metallic waveguides is derived for the special case of quarter-wavelength-depth circumferential corrugations. The relationship between the LPmn modes and the conventional modes HEmnEH mnTE0nTM0n) of the corrugated guide is shown. The loss in a gap or equivalent miter bend in the waveguide is calculated for single-mode and multimode propagation on the line. In the latter case, it is shown that modes of the same symmetry interfere with one another, causing enhanced or reduced loss, depending on the relative phase of the modes. If two modes with azimuthal (m) indexes that differ by one propagate in the waveguide, the resultant centroid and the tilt angle of radiation at the guide end are shown to be related through a constant of the motion. These results describe the propagation of high-power linearly polarized radiation in overmoded corrugated waveguides.",

keywords = "Corrugated waveguide, linearly polarized modes, miter bends, oversized waveguide",

author = "Kowalski, {Elizabeth J.} and Tax, {David S.} and Shapiro, {Michael A.} and Sirigiri, {Jagadishwar R.} and Temkin, {Richard J.} and Bigelow, {Timothy S.} and Rasmussen, {David A.}",

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AU - Kowalski, Elizabeth J.

AU - Tax, David S.

AU - Shapiro, Michael A.

AU - Sirigiri, Jagadishwar R.

AU - Temkin, Richard J.

AU - Bigelow, Timothy S.

AU - Rasmussen, David A.

PY - 2010/11

Y1 - 2010/11

N2 - A linearly polarized (LPmn) mode basis set for oversized, corrugated, metallic waveguides is derived for the special case of quarter-wavelength-depth circumferential corrugations. The relationship between the LPmn modes and the conventional modes HEmnEH mnTE0nTM0n) of the corrugated guide is shown. The loss in a gap or equivalent miter bend in the waveguide is calculated for single-mode and multimode propagation on the line. In the latter case, it is shown that modes of the same symmetry interfere with one another, causing enhanced or reduced loss, depending on the relative phase of the modes. If two modes with azimuthal (m) indexes that differ by one propagate in the waveguide, the resultant centroid and the tilt angle of radiation at the guide end are shown to be related through a constant of the motion. These results describe the propagation of high-power linearly polarized radiation in overmoded corrugated waveguides.

AB - A linearly polarized (LPmn) mode basis set for oversized, corrugated, metallic waveguides is derived for the special case of quarter-wavelength-depth circumferential corrugations. The relationship between the LPmn modes and the conventional modes HEmnEH mnTE0nTM0n) of the corrugated guide is shown. The loss in a gap or equivalent miter bend in the waveguide is calculated for single-mode and multimode propagation on the line. In the latter case, it is shown that modes of the same symmetry interfere with one another, causing enhanced or reduced loss, depending on the relative phase of the modes. If two modes with azimuthal (m) indexes that differ by one propagate in the waveguide, the resultant centroid and the tilt angle of radiation at the guide end are shown to be related through a constant of the motion. These results describe the propagation of high-power linearly polarized radiation in overmoded corrugated waveguides.

KW - Corrugated waveguide

KW - linearly polarized modes

KW - miter bends

KW - oversized waveguide

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JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

IS - 11 PART 1

M1 - 5597962

ER -

Linearly polarized modes of a corrugated metallic waveguide

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