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Four-Tool Magnet-Free RF Circulator: Floquet Stability and Device Constraints

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Source title: Four-Tool Magnet-Free RF Circulator: Floquet Stability and Device Constraints

Printed author name: Mr.K · Archive author: Han Jae Jun

Year: 2026 · Working manuscript, not a claim of peer-reviewed acceptance.

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Original abstract excerpt

A ferrite-free three-port microwave circulator is studied through one explicitly defined real-valued, periodically modulated LC–Floquet network. Four geometric and analytical devices act on the same operator: Gaussian angular Fourier weighting, three cyclic AC pump phases whose control space is T 3, an annular (solid-torus) coupled-resonator junction, and a reciprocal two-rail Möbius-parity auxiliary. Directionality arises from the time-dependent coupling, not from the topology alone. The selected R16 operating point is at 1.750 GHz with a 1.061538533-GHz drive. Previously documented outward interval calculations and infinite signed-sideband Schur bounds provide a 1.705–1.795-GHz carrier-scattering certificate inside the declared twelve-node network, including a nine-variable 10-ppm rectangle; the exactly matched finite-modal-damping filter proxy has a conservative insertion-loss upper bound of 0.484326 dB and reverse isolation above 40 dB. A denser, independently rerun outward-interval enclosure improves the same ideal matched-filter bound to 0.478060 dB in the same nine-parameter domain. A distinct periodic Lyapunov witness proves uniform linear exponential stability for the stated fifteen-variable dynamical box, which is not the same box as the stronger carrier-performance certificate. New hardware-facing calculations fix the signed sideband support, constrain the positive-capacitance antipodal coupling bridge, and compare the remaining 0.015674-dB certified insertion-loss allowance with manufacturer-published microwave-component losses. A physical assembly visualization is identified as synthetic, while connection schematics, calibrated-measurement criteria, component provenance and a reproducible test-data parser are provided separately. No manufactured … [excerpt; full PDF linked below]

Original ZIP PDF: 123 pages · 14421446 bytes
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Original ZIPRF_CIRCULATOR_4TOOL_POSTER_WITH_USER_PHOTO_20261014.zip
Main PDFpdf/main/rf-circulator-4tool-poster-with-user-photo-20261014.pdf
PDF pages123
PDF SHA-25645bf592bd5673c06e7a49f229e2cc507b1e4fb2ed2f51f8bff8a7e7bf7921a77
ZIP SHA-25632eb99d23af8b99a20ed4dfc521f72c25c44b4b10aa3ebc78032dcdef8e80892

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Citation

@unpublished{Han2026rfcirculator4toolposterwithuserphoto20261014,
  author = {Han Jae Jun},
  title = {Four-Tool Magnet-Free RF Circulator: Floquet Stability and Device Constraints},
  year = {2026},
  note = {Research source ZIP: RF_CIRCULATOR_4TOOL_POSTER_WITH_USER_PHOTO_20261014.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/rf-circulator-4tool-poster-with-user-photo-20261014.html}
}

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Original source version: RF_CIRCULATOR_4TOOL_POSTER_WITH_USER_PHOTO_20261014.zip

Main PDF SHA-256: 45bf592bd5673c06e7a49f229e2cc507b1e4fb2ed2f51f8bff8a7e7bf7921a77

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