Numerical Investigations of Single Mode Gyrotron Equation

Cepītis, Jānis; Kalis, Harijs; Reinfelds, Andrejs

doi:10.3846/1392-6292.2009.14.169-178

Cited by 4 publications

(12 citation statements)

References 13 publications

(10 reference statements)

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“…In this case, the Fourier transform yields (14) The main consideration here is how to approximate the wavenumber in order to facilitate the inverse Fourier transform and at the same time still ensuring enough accuracy in the frequency band of interest. This has been addressed in [12]- [15] and [32]- [34].…”

Section: A General Boundary Conditionmentioning

confidence: 99%

“…We propose a straightforward modeling of : suppose is known at frequency points (e.g., as noted in the table appearing in Section IV). A polynomial of order can then be synthesized to obtain an analytical expression (15) where are the coefficients related to the given reflection curve by (3).…”

Section: B Formulation Of the Termmentioning

confidence: 99%

“…Both polynomials in (15) and (23) can be merged in the expression . The coefficients of the resulting polynomial are determined through (25) with and defined in (15) and (24), respectively.…”

Section: Equation For the Improved Boundary Conditionmentioning

confidence: 99%

“…The coefficients of the resulting polynomial are determined through (25) with and defined in (15) and (24), respectively. The sign depends on the side of the boundary, as discussed before.…”

Section: Equation For the Improved Boundary Conditionmentioning

confidence: 99%

“…Previous contributions on the gyrotron broadband (matched) boundary condition can be found, for example, in [12]- [15]. These are our starting points, i.e., the "state-of-the-art."…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

An Improved Broadband Boundary Condition for the RF Field in Gyrotron Interaction Modeling

Avramidis

Thumm

et al. 2015

IEEE Trans. Microwave Theory Techn.

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Gyrotrons are the only RF sources providing significantly high output powers at continuous-wave operation in the sub-terahertz frequency range. A prerequisite for a proper study of gyrotron behavior is the accurate time-dependent self-consistent simulation of the interaction between the electron beam and the RF wave inside the interaction region (cavity). That requires an accurate description of the RF fields at the boundaries of the interaction region. In this work, an improved broadband boundary condition is proposed. Based on polynomial series expansion of the load impedance and of the wavenumber, this boundary condition not only features a significantly improved broadband matching, but also allows a customizable frequency-dependent reflection coefficient at the boundaries. The boundary condition has a general formulation, i.e., it does not rely on a special numerical method. For the case of perfect matching, the new formulation is validated through comparing the numerically calculated reflection coefficients with those obtained by the state-of-the-art matched gyrotron broadband boundary condition, whereas the validation in the case of a given frequency-dependent reflection is done by comparing the numerically calculated reflection with the prescribed one. Although this concept is initially intended for the simulation of gyrotron cavities, it can be easily extended to any other open-cavity resonators, for which proper definition of the boundary conditions is required.

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Section: A General Boundary Conditionmentioning

confidence: 99%

Section: B Formulation Of the Termmentioning

confidence: 99%

Section: Equation For the Improved Boundary Conditionmentioning

confidence: 99%

Section: Equation For the Improved Boundary Conditionmentioning

confidence: 99%

“…Previous contributions on the gyrotron broadband (matched) boundary condition can be found, for example, in [12]- [15]. These are our starting points, i.e., the "state-of-the-art."…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An Improved Broadband Boundary Condition for the RF Field in Gyrotron Interaction Modeling

Avramidis

Thumm

et al. 2015

IEEE Trans. Microwave Theory Techn.

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Numerical Algorithms for Schrödinger Equation with Artificial Boundary Conditions

Čiegis

Laukaitytė

Radziunas

2009

Numerical Functional Analysis and Optimization

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Analysis of equations arising in gyrotron theory

Cepītis

Dumbrājs

Kalis

et al. 2012

NAMC

Self Cite

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The gyrotron is a microwave source whose operation is based on the stimulated cyclotron radiation of electrons oscillating in a static magnetic field. Powerful gyrotrons can be used to heat nuclear fusion plasma. In addition, they have found a wide utility in plasma diagnostics, plasma chemistry, radars, extra-high-resolution spectroscopy, high-temperature processing of materials, medicine, etc. However, the main application of gyrotrons is in electron cyclotron resonance heating in tokamaks and stellarators. Equations describing gyrotron operation are ordinary differential equations and Schrödinger type partial differential equations. The present paper provides a survey of the analytical and numerical results concerning these equations obtained by our group in the last decade.

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Numerical Investigations of Single Mode Gyrotron Equation

Cited by 4 publications

References 13 publications

An Improved Broadband Boundary Condition for the RF Field in Gyrotron Interaction Modeling

An Improved Broadband Boundary Condition for the RF Field in Gyrotron Interaction Modeling

Numerical Algorithms for Schrödinger Equation with Artificial Boundary Conditions

Analysis of equations arising in gyrotron theory

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