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Oscillator Based on Lumped Double Ladder Circuit with Band Edge Degeneracy

Classical Physics · Submitted 3 Oct 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This oscillator is shown to have an oscillation threshold that is half that of a single LC ladder circuit having the same total quality factor, and thus is more robust than an LC oscillator in the presence of losses.

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arXiv ID1610.00415 (version 2)
Pith ID5UCEHLSV, Pith's permanent record of this paper and its review
CitationDmitry Oshmarin, Farshad Yazdi, Filippo Capolino, Jeff Sloan, Michael M. Green, Mohamed A. K. Othman, Mohammad Radfar. "Oscillator Based on Lumped Double Ladder Circuit with Band Edge Degeneracy." arXiv:1610.00415 (2016). https://pith.science/paper/5UCEHLSV
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,311 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.89 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.95 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

An oscillator design based on a periodic, double ladder resonant circuit is proposed. The circuit exhibits a degenerate band edge (DBE) in the dispersion diagram of its phase-frequency eigenstates, and possesses unique resonance features associated with a high Q-factor resonance, compared to a single ladder or a conventional LC tank circuit. This oscillator is shown to have an oscillation threshold that is half that of a single LC ladder circuit having the same total quality factor, and thus is more robust than an LC oscillator in the presence of losses. It is also shown that the output and amplitude of the double-ladder oscillator is much less sensitive to the output loading compared to single-ladder oscillators. We show the analysis and design of such oscillators that potentially lead to enhancing the efficiency of RF components and sources.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 An oscillator design based on a periodic, double ladder resonant circuit is proposed. contribution 1.00 0.85 0.06 asserted 0.96
s1 The circuit exhibits a degenerate band edge (DBE) in the dispersion diagram of its phase-frequency eigenstates, and possesses unique resonance features associated with a high Q-factor resonance, compared to a single ladder or a conventional LC tank circuit. result 0.77 0.78 0.24 asserted 1.00
s2 This oscillator is shown to have an oscillation threshold that is half that of a single LC ladder circuit having the same total quality factor, and thus is more robust than an LC oscillator in the presence of losses. result 0.99 0.90 0.36 asserted 1.00
s3 It is also shown that the output and amplitude of the double-ladder oscillator is much less sensitive to the output loading compared to single-ladder oscillators. result 1.00 0.90 0.14 asserted 1.00
s4 We show the analysis and design of such oscillators that potentially lead to enhancing the efficiency of RF components and sources. contribution 0.61 0.86 0.21 hedged possibility 0.86

What kind of paper the classifier reports this is: method or tool 0.81 · evidence from proof or derivation 0.95.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

An oscillator design based on a periodic, double ladder resonant circuit is proposed. The circuit exhibits a degenerate band edge (DBE) in the dispersion diagram of its phase-frequency eigenstates, and possesses unique resonance features associated with a high Q-factor resonance, compared to a single ladder or a conventional LC tank circuit. This oscillator is shown to have an oscillation threshold that is half that of a single LC ladder circuit having the same total quality factor, and thus is more robust than an LC oscillator in the presence of losses. It is also shown that the output and amplitude of the double-ladder oscillator is much less sensitive to the output loading compared to single-ladder oscillators. We show the analysis and design of such oscillators that potentially lead to enhancing the efficiency of RF components and sources.

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