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NawfalMotii79-PLFM_RADAR/5_Simulations/Antenna/probe_fed_aeris10_v3.py
T
Jason 3f3846b514 sim(antenna): add probe-fed 2-layer patch model — 180 MHz BW vs aperture-coupled 60 MHz
Single-element OpenEMS sim for a 2-layer probe-fed patch on 0.508 mm RO4350B.
Verified at PROFILE=balanced (λ/25 mesh): f_res = 10.51 GHz, S11 = -21.8 dB,
VSWR 1.18, -10 dB BW = 180 MHz (10.40-10.58 GHz). Direct 50 Ω match — no port
matching cap needed.

Design point baked into defaults:
  PATCH_W      = 7.854 mm   (preserved from old 8x16 Gerber → array compatible)
  PATCH_L      = 6.56 mm    (tuned for f_res = 10.5 GHz at 0.508 mm sub)
  FEED_OFFSET  = 2.14 mm    (probe via, from -y radiating edge)

Why probe-fed: aperture-coupled v2 (4-layer Stack_Hybrid) capped at ~60 MHz BW
because the 0.11 mm L4 acts as a near-short reflector — beneficial for slot
coupling but creates an L2-L4 cavity that's the BW ceiling. Tested removing L4
(open-back aperture-coupled): coupling collapsed, R stayed >1000 Ω regardless
of patch tuning. Probe-fed has no slot bottleneck; physics BW = 1.7% on h=0.508
matches sim 180 MHz directly.

Hardware change required to deploy: 2-layer stackup (patch on top, ground on
bottom, probe vias with antipads). Old 8x16 Gerber was edge-fed; v3 is probe-
fed → top-layer feed network goes away, ADAR1000 carrier on a separate board
with SMP RF launches. Stackup signoff with antenna designer needed before PCB.

aperture_coupled_v2 retained as the 4-layer fallback (with the 0.043 pF cap)
if 2-layer redesign isn't approved.
2026-05-03 15:28:57 +05:45

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#!/usr/bin/env python3
# probe_fed_aeris10_v3.py
#
# Single-element probe-fed patch antenna sim for AERIS-10 — true 2-layer
# stackup (L1 patch / 0.508 mm RO4350B / L2 ground plane). Probe via through
# ground plane feeds the patch; LumpedPort with R=50 Ω across the substrate
# at the probe location models the coax launch.
#
# Why this topology: aperture-coupled v2 (4-layer Stack_Hybrid) capped at
# ~60 MHz BW because the 0.11 mm L4 backshort acted as a near-short reflector
# — wider BW is fundamentally coupling-limited there. Probe-fed patch on the
# same 0.508 mm patch substrate has no slot bottleneck; physics BW from
# 3.77·(εr-1)/εr²·(W/L)·(h/λ₀) is ~1.6% ≈ 170 MHz at 10.5 GHz.
#
# Patch geometry preserved from the existing 8x16 Gerber (Antenna_16_8.top):
# W = 7.854 mm (D10 first dimension; sets X-pitch 14.27 mm in the array)
# L = 6.56 mm (tuned at balanced profile to land f_res = 10.51 GHz; old
# Gerber's 7.356 mm at 0.102 mm sub gave f_res ~10.6 GHz, the
# thicker substrate adds ~1 mm of fringing-edge ΔL each side)
#
# Probe location:
# y_off = 2.14 mm from -y radiating edge → R_in = 41 Ω, VSWR = 1.18 at 10.5
# GHz. R_edge fitted from sim ≈ 152 Ω; cos²(π·y_off/L) gives R_in.
#
# Verified design point (PROFILE=balanced, λ/25 mesh, 13 s/run):
# f_res = 10.510 GHz, S11 = -21.79 dB at 10.5 GHz, Zin = 42.7 + j2.0 Ω
# -10 dB BW = 180 MHz (10.40 10.58 GHz, 1.71%)
# Compare 4-layer Stack_Hybrid + cap: 60 MHz BW, -19 dB. 3× wider, no cap.
#
# Stackup:
# L1 Cu 0.035 mm ← patch
# -- RO4350B 0.508 mm εr=3.48 (patch substrate)
# L2 Cu 0.035 mm ← ground plane (with antipad clearance)
# air below; coax launches up through
# to the probe via from L2 ground.
#
# Run:
# cd /tmp && DYLD_LIBRARY_PATH=/Users/ganeshpanth/opt/openEMS/lib \
# PROFILE=balanced PATCH_L_MM=7.54 FEED_OFFSET_MM=2.5 \
# /Users/ganeshpanth/radar_venv/bin/python \
# /Users/ganeshpanth/PLFM_RADAR/5_Simulations/Antenna/probe_fed_aeris10_v3.py
#
# Profiles:
# sanity — λ/18 mesh, fast, borderline convergence
# balanced — λ/25 mesh, slower, recommended for design verification
#
# Env overrides (all optional):
# PATCH_W_MM PATCH_L_MM FEED_OFFSET_MM (mm from -y radiating edge)
# FEED_X_MM (default 0; offset along W-axis, normally 0 for centred feed)
import os
import sys
import time
import csv
import numpy as np
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
from openEMS import openEMS
from openEMS.physical_constants import C0
from CSXCAD import ContinuousStructure
from CSXCAD.SmoothMeshLines import SmoothMeshLines
# ============================================================================
# PROFILES
# ============================================================================
PROFILE = os.environ.get("PROFILE", "sanity")
profiles = {
"sanity": {"mesh_lambda_div": 18, "n_timesteps": 50000, "end_dB": -30},
"balanced": {"mesh_lambda_div": 25, "n_timesteps": 80000, "end_dB": -40},
}
cfg = profiles[PROFILE]
# ============================================================================
# BAND
# ============================================================================
F0 = 10.5e9
F_SPAN = 4.0e9
F_START = F0 - F_SPAN/2
F_STOP = F0 + F_SPAN/2
# ============================================================================
# STACKUP (mm) — true 2-layer probe-fed
# ============================================================================
T_CU = 0.035
H_PATCH_SUB = 0.508 # RO4350B between L1 patch and L2 ground
EPS_RO4350B = 3.48
TAN_RO4350B = 0.0037
# Z layers (L2 ground at z=0, patch on top)
Z_GND = 0.0
Z_PATCH = Z_GND + T_CU + H_PATCH_SUB
Z_TOP = Z_PATCH + T_CU
# ============================================================================
# GEOMETRY (mm) — defaults preserve old Gerber's W; L recomputed for 0.508 mm
# ============================================================================
PATCH_W = float(os.environ.get("PATCH_W_MM", "7.854"))
PATCH_L = float(os.environ.get("PATCH_L_MM", "6.56"))
# Probe: feed offset along the L-axis (y), measured from -y radiating edge
# inward. R_in(y_off) = R_edge·cos²(π·y_off/L). y_off=2.14 mm with iter#3 L
# (R_edge≈152 Ω fitted) lands R_in=41 Ω, VSWR=1.18 at 10.5 GHz.
FEED_OFFSET_MM = float(os.environ.get("FEED_OFFSET_MM", "2.14"))
FEED_X_MM = float(os.environ.get("FEED_X_MM", "0.0"))
# Substrate / ground extents (~λ/2 margin around patch)
GND_X_MARGIN = 14.3
GND_Y_MARGIN = 14.3
GND_X_HALF = PATCH_W/2 + GND_X_MARGIN
GND_Y_HALF = PATCH_L/2 + GND_Y_MARGIN
# Air box (λ/2 above patch, λ/2 below ground)
AIR_ABOVE = 14.3
AIR_BELOW = 14.3
AIR_X_HALF = GND_X_HALF + 8.0
AIR_Y_HALF = GND_Y_HALF + 8.0
OUT_DIR = "/tmp/aeris10_probefed_v3"
os.makedirs(OUT_DIR, exist_ok=True)
# ============================================================================
# Build + run a single FDTD case
# ============================================================================
def run_case(patch_w, patch_l, feed_offset, feed_x, sim_path, profile_cfg, label=""):
fdtd = openEMS(NrTS=profile_cfg["n_timesteps"],
EndCriteria=10**(profile_cfg["end_dB"]/20.0))
fdtd.SetGaussExcite(F0, F_SPAN/2.0)
fdtd.SetBoundaryCond(["MUR"]*6)
CSX = ContinuousStructure()
fdtd.SetCSX(CSX)
mesh = CSX.GetGrid()
mesh.SetDeltaUnit(1e-3)
# ---- materials ----
eps0 = 8.854e-12
patch_sub = CSX.AddMaterial("RO4350B",
epsilon=EPS_RO4350B,
kappa=2*np.pi*F0*EPS_RO4350B*eps0*TAN_RO4350B)
copper = CSX.AddMetal("Copper")
# ---- substrate ----
patch_sub.AddBox([-GND_X_HALF, -GND_Y_HALF, Z_GND + T_CU],
[+GND_X_HALF, +GND_Y_HALF, Z_PATCH], priority=1)
# ---- L1: patch (centred on origin, L along y, W along x) ----
copper.AddBox([-patch_w/2, -patch_l/2, Z_PATCH],
[+patch_w/2, +patch_l/2, Z_PATCH + T_CU], priority=10)
# ---- L2: full ground plane ----
# Single-element sim — antipad clearance around the probe is implicit
# in the LumpedPort box (FDTD treats the port column as the metal probe
# and the surrounding cells as substrate). For a multi-element array
# with real coax launches a physical clearance hole would be added.
copper.AddBox([-GND_X_HALF, -GND_Y_HALF, Z_GND],
[+GND_X_HALF, +GND_Y_HALF, Z_GND + T_CU], priority=10)
# ---- mesh ----
lambda_min_mm = (C0 / F_STOP) * 1000.0
res = lambda_min_mm / profile_cfg["mesh_lambda_div"]
# Probe location in patch frame
feed_y = -patch_l/2 + feed_offset # offset from -y radiating edge
feed_x_pos = feed_x
xlines = [-AIR_X_HALF, -GND_X_HALF, -patch_w/2, feed_x_pos, +patch_w/2,
+GND_X_HALF, +AIR_X_HALF]
ylines = [-AIR_Y_HALF, -GND_Y_HALF, -patch_l/2, feed_y, +patch_l/2,
+GND_Y_HALF, +AIR_Y_HALF]
# Z mesh: substrate gets ≥6 interior cells for accurate field capture
air_below = list(np.arange(Z_GND - T_CU - AIR_BELOW, Z_GND - T_CU, res))
air_above = list(np.arange(Z_TOP + res, Z_TOP + AIR_ABOVE + res, res))
sub_interior = list(np.linspace(Z_GND + T_CU, Z_PATCH, 7)[1:-1])
zlines = sorted(set(air_below + [
Z_GND - T_CU, Z_GND, Z_GND + T_CU,
Z_PATCH, Z_PATCH + T_CU,
] + sub_interior + air_above))
xlines = SmoothMeshLines(np.array(xlines), res)
ylines = SmoothMeshLines(np.array(ylines), res)
zlines = np.array(zlines)
mesh.AddLine("x", xlines)
mesh.AddLine("y", ylines)
mesh.AddLine("z", zlines)
n_cells = len(xlines) * len(ylines) * len(zlines)
if os.environ.get("MESH_DEBUG"):
z_diff = np.diff(zlines)
print(f"[mesh] x={len(xlines)} y={len(ylines)} z={len(zlines)} cells={n_cells:,}")
print(f"[mesh] z min/max/avg cell: {z_diff.min()*1e3:.1f}/{z_diff.max()*1e3:.1f}/{z_diff.mean()*1e3:.1f} um")
# ---- LumpedPort: vertical 50 Ω port across substrate at (feed_x, feed_y) ----
# The lumped port replaces the coax+source: the 50 Ω resistor sits in the
# box, the metal column from L2 to L1 is implicit. Excitation is z-direction
# E-field across the substrate.
port_start = [feed_x_pos, feed_y, Z_GND + T_CU]
port_stop = [feed_x_pos, feed_y, Z_PATCH]
port = fdtd.AddLumpedPort(1, 50, port_start, port_stop, 'z',
excite=1.0, priority=5)
# ---- run ----
print(f"[case {label}] patch={patch_w:.2f}x{patch_l:.2f}mm "
f"feed=({feed_x_pos:.2f},{feed_y:.2f})mm cells={n_cells:,}")
t0 = time.time()
fdtd.Run(sim_path, verbose=0, cleanup=True)
dt = time.time() - t0
# ---- post-process ----
freq = np.linspace(F_START, F_STOP, 401)
port.CalcPort(sim_path, freq)
s11 = port.uf_ref / port.uf_inc
s11_dB = 20.0 * np.log10(np.abs(s11) + 1e-30)
zin = port.uf_tot / port.if_tot
vswr = (1 + np.abs(s11)) / (1 - np.abs(s11) + 1e-30)
return freq, s11_dB, zin, vswr, dt
def find_resonance(freq, s11_dB, zin=None):
"""Resonance: where R peaks AND Im(Z)=0 nearby. Falls back to min(S11)."""
f_res, s11_min = None, None
if zin is not None:
# Find peak R in the band
mask = (freq >= 9.0e9) & (freq <= 11.5e9)
idx_band = np.where(mask)[0]
if len(idx_band) > 1:
r_band = np.real(zin[idx_band])
i_pk = idx_band[int(np.argmax(r_band))]
# Use the X=0 crossing closest to the R peak
x = np.imag(zin)
sign = np.sign(x)
crossings = np.where(np.diff(sign) != 0)[0]
crossings_in_band = [c for c in crossings if mask[c]]
if crossings_in_band:
k = min(crossings_in_band, key=lambda c: abs(c - i_pk))
t = -x[k] / (x[k+1] - x[k]) if x[k+1] != x[k] else 0
f_res = freq[k] + t * (freq[k+1] - freq[k])
s11_min = s11_dB[k] + t * (s11_dB[k+1] - s11_dB[k])
if f_res is None:
imin = int(np.argmin(s11_dB))
f_res = freq[imin]
s11_min = float(s11_dB[imin])
# walk outward to find -10 dB crossings around f_res
below = s11_dB <= -10.0
if not below.any():
return f_res, s11_min, 0.0, 0.0, 0.0
i_f = int(np.argmin(np.abs(freq - f_res)))
if not below[i_f]:
return f_res, s11_min, 0.0, 0.0, 0.0
lo = i_f
while lo > 0 and below[lo-1]:
lo -= 1
hi = i_f
while hi < len(below)-1 and below[hi+1]:
hi += 1
f_lo, f_hi = freq[lo], freq[hi]
bw = f_hi - f_lo
bw_pct = bw / f_res * 100.0
return f_res, s11_min, f_lo, f_hi, bw_pct
# ============================================================================
# MAIN
# ============================================================================
sim_path = os.path.join(OUT_DIR, "single")
freq, s11_dB, zin, vswr, dt = run_case(
PATCH_W, PATCH_L, FEED_OFFSET_MM, FEED_X_MM, sim_path, cfg)
f_res, s11_min, f_lo, f_hi, bw_pct = find_resonance(freq, s11_dB, zin)
i_res = int(np.argmin(np.abs(freq - f_res)))
i_op = int(np.argmin(np.abs(freq - 10.5e9)))
print()
print("=" * 70)
print(f" Resonance (R peak + Im=0): {f_res/1e9:.3f} GHz (target 10.5 GHz)")
print(f" S11 at resonance : {s11_min:.2f} dB")
print(f" Zin at resonance : {zin[i_res].real:.1f} + j{zin[i_res].imag:.1f} Ω")
print(f" ── at 10.500 GHz exactly:")
print(f" S11 @ 10.5GHz : {s11_dB[i_op]:.2f} dB")
print(f" Zin @ 10.5GHz : {zin[i_op].real:.1f} + j{zin[i_op].imag:.1f} Ω")
print(f" VSWR @ 10.5GHz : {vswr[i_op]:.2f}")
print(f" -10 dB bandwidth : {(f_hi-f_lo)/1e6:.0f} MHz "
f"({f_lo/1e9:.3f} {f_hi/1e9:.3f} GHz, {bw_pct:.2f}%)")
print(f" Sim time : {dt:.1f} s")
print("=" * 70)
fig, ax = plt.subplots(figsize=(8.5, 4.5))
ax.plot(freq/1e9, s11_dB, "b-", lw=1.6, label="S11")
ax.axhline(-10, color="r", ls="--", lw=0.8, label="-10 dB")
ax.axvline(f_res/1e9, color="g", ls=":", lw=0.8,
label=f"resonance {f_res/1e9:.3f} GHz")
if (f_hi-f_lo) > 0:
ax.axvspan(f_lo/1e9, f_hi/1e9, color="g", alpha=0.10,
label=f"BW {(f_hi-f_lo)/1e6:.0f} MHz ({bw_pct:.2f}%)")
ax.set_xlabel("Frequency (GHz)")
ax.set_ylabel("S11 (dB)")
ax.set_title(f"AERIS-10 Probe-Fed Patch v3 — 2-layer 0.508 mm RO4350B "
f"(W={PATCH_W} L={PATCH_L} y_off={FEED_OFFSET_MM}mm)")
ax.set_xlim(F_START/1e9, F_STOP/1e9)
ax.set_ylim(-40, 0)
ax.grid(True, alpha=0.3)
ax.legend(loc="lower right")
fig.tight_layout()
fig.savefig(os.path.join(OUT_DIR, "S11.png"), dpi=140)
plt.close(fig)
with open(os.path.join(OUT_DIR, "S11_data.csv"), "w", newline="") as f:
w = csv.writer(f)
w.writerow(["freq_Hz", "S11_dB", "Zin_real", "Zin_imag", "VSWR"])
for k in range(len(freq)):
w.writerow([freq[k], s11_dB[k], zin[k].real, zin[k].imag, vswr[k]])
print(f"[out] {OUT_DIR}/S11.png")
print(f"[out] {OUT_DIR}/S11_data.csv")