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Rectangular PEC Waveguide Complete TE/TM Complex Modal Fields
x402
Rectangular PEC Waveguide Complete TE/TM Complex Modal Fields is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).
Computes complete propagating and evanescent TE and TM electromagnetic mode field distributions at specified spatial query points inside a rectangular perfect-electric-conductor waveguide filled with a homogeneous medium.
Price / call$0.003
Success—
StatusUnknown
How this service works
Resolve complete propagating or evanescent electromagnetic mode fields of a supplied ideal guide.
Output
Returns complex-valued electromagnetic field components (Ex, Ey, Ez, Hx, Hy, Hz) for each requested mode at each spatial query point, covering both propagating modes (above cutoff) and evanescent modes (below cutoff), along with mode classification and cutoff frequency information.
Example use cases
X-band waveguide mode field mapping
“Can you compute the full TE10 mode field distribution at five points along the cross-section of a standard X-band waveguide (22.86 mm × 10.16 mm) filled with air at 9.5 GHz? Give me the complex field values at positions [0.005,0.003,0],[0.010,0.005,0],[0.015,0.008,0],[0.020,0.003,0],[0.011,0.005,0.01].”
Evanescent mode analysis below cutoff
“I need to check whether the TE20 mode in a 10 mm × 5 mm rectangular PEC waveguide at 12 GHz with relative permittivity 2.2 and relative permeability 1.0 is propagating or evanescent, and get its complex field values at query points [0.002,0.001,0],[0.005,0.002,0.005],[0.008,0.004,0.01].”
Dielectric-loaded waveguide multi-mode fields
“Compute the complex modal fields for TE11 and TM11 modes simultaneously in a rectangular guide 15 mm wide and 8 mm tall, filled with a dielectric of relative permittivity 4.0 and relative permeability 1.5, at 20 GHz, evaluated at points [0.003,0.002,0],[0.007,0.004,0.005],[0.012,0.006,0.01].”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B009/rectangular-pec-waveguide-complete-te-tm-complex-modal-fields?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need analytically exact complex field distributions for rectangular PEC waveguides with uniform dielectric fill, covering multiple modes simultaneously and arbitrary spatial query points. It handles both propagating and evanescent regimes in one call, making it ideal for waveguide design, field mapping, coupling analysis, and modal decomposition tasks requiring precise complex-valued field data.
Side effects
- TM modes with m=0 or n=0 are physically invalid and will be rejected (TM modes require both m≥1, n≥1)
- Query points outside the waveguide cross-section bounds will produce errors or undefined results
- Frequency below the minimum 1000 Hz threshold or above 10 THz will be rejected
- Mode indices exceeding maximum value of 8 will be rejected
- Degenerate mode pairs or zero-field configurations may produce numerical edge cases
- Invalid or missing claim field will cause authentication/authorization failure
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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