Energy Aperture

Value chain · CLM-0864

In plain terms

The whole beam calculation for a gigawatt power satellite runs in fifteen seconds on one core of a laptop.

The claim as recorded

The full-scale 1978 reference downlink - 1 km circular aperture, 10 dB Gaussian taper, 6.72 GW, 2.45 GHz, 35,800 km - computes to a 4001-point ground power density profile plus an encircled-power integral in 15.1 seconds on a single CPU core using only numpy and scipy, giving a peak of 248.20 W/m2 and 94.76 per cent of radiated power inside a 5 km radius. The aperture requires about 4.0e3 quadrature nodes against the 2.098e8 elements a half-wavelength lattice would place on it, a factor of 5.2e4, because the method scales with the nodes needed to represent the aperture ILLUMINATION and not with the element count.

T0 own calculation · high confidence · as of 2026-09-05 · VER-1087 CONFIRMED 2026-09-05 · VC06

Evidence behind this: T0-calculation. Wall-clock measurement of a scalar diffraction integral evaluated by Gauss-Legendre quadrature and Hankel transform, numpy and scipy only, single CPU core.

Scope and limits

The 1 km aperture at 35,800 km sits just OUTSIDE its Rayleigh distance of 16,300 km. A 2 km aperture - the size SRC-320 targets - has a Rayleigh distance of 65,000 km and is still INSIDE it. This result must NOT be generalised to 2 km without re-checking the regime. Says nothing about non-planar apertures, terrain interaction, or multipath.

What it assumes

A planar, circularly symmetric aperture with a smooth illumination taper, radiating into free space at a single frequency.

Where it comes from

SRC-358 PyPO, a Python package for physical optics and geometrical optics, 2025

This is the project's own working, shown in full:

CALC-083 timings, node count, and the Rayleigh-distance caveat
Measured: 4001-point radial profile to 20 km, 3.610 s; encircled-power integral to 5 km, 11.534 s; total 15.144 s. Independently confirmed: PyPO 1.2.1 (SRC-358), an unrelated MIT physical-optics package run by a separate party, returns 248.20 W/m2 and 94.56 per cent for the same case - 0.002 per cent on peak.

Basis: seconds (wall clock); W/m2 (peak); per cent (encircled power)

Related records
Answers question
QST-001 not published in this release

Cite this

energyaperture.com/c/clm-0864

CLM-0864, Energy Aperture, as of 2026-09-05.

Connected records

Other published records linked to this one. A list, not a judgement.

Also from SRC-358
CLM-0862Switching a power satellite to the higher of the two candidate frequencies makes the beam five and a half times more intense on the ground...