US 2025/0225293 A1Published application

Electromagnetic field simulation method based on face-centered cubic and subgrid technique

AssigneeAnhui University

InventorsMing FANG, Zhenshan GUAN, Jian FENG, Zhixiang HUANG, Ke XU, Xuesong DENG, Yang SHI, Donghua ZHOU, Yihao LI, Wei YANG

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Abstract

Provided is an electromagnetic field simulation method based on a face-centered cubic and a subgrid, including setting periodic boundary conditions and a metal plate to construct an electromagnetic field simulation model based on the face-centered cubic, FDTD and the subgrid; through the electromagnetic field simulation model, setting the source point in the subgrid region, selecting the detecting point, simulating the electromagnetic field simulated, and obtaining the moment domain waveform diagram of the electric field in the simulation region.

An electromagnetic field simulation method based on a face-centered cubic and a subgrid, comprising:

based on the faced-centered cubic and the subgrid, setting periodic boundary conditions and a metal plate, and constructing an electromagnetic field simulation model;
setting a source point in a subgrid region through the electromagnetic field simulation model, selecting a detecting point, and simulating an electromagnetic field;
wherein setting the periodic boundary conditions comprises:
obtaining an updating equation of the face-centered cubic based on sampling point distribution of the face-centered cubic grid combined with the sampling point distribution of FDTD and the updating equation;
obtaining a structure and a constant of a simulation region;
generating the periodic boundary conditions according to the structure and the constant of the simulation region and the updating equation of the faced-centered cubic;
for TM mode:
E
z
n
+
1
(
i
,
j
)
=
CA
⁡
(
m
)
·
E
z
n
+
1
(
i
,
j
)
-
CB
⁡
(
m
)
·
[
1
Δ
⁢
x
⁢
(
H
y
n
+
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
+
H
y
n
+
1
/
2
(
i
+
1
/
4
,
j
-
1
/
4
)
-
H
y
n
+
1
/
2
(
i
-
1
/
4
,
j
+
1
/
4
)
-
H
y
n
+
1
/
2
(
i
-
1
/
4
,
j
-
1
/
4
)
)
-
1
Δ
⁢
y
⁢
(
H
x
n
+
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
+
H
x
n
+
1
/
2
(
i
-
1
/
4
,
j
+
1
/
4
)
-
H
x
n
+
1
/
2
(
i
+
1
/
4
,
j
-
1
/
4
)
+
H
x
n
+
1
/
2
(
i
-
1
/
4
,
j
-
1
/
4
)
)
]
⁢
CA
⁡
(
m
)
=
ε
⁡
(
m
)
/
Δ
⁢
t
-
σ
⁡
(
m
)
/
2
ε
⁡
(
m
)
/
Δ
⁢
t
+
σ
⁡
(
m
)
/
2
⁢
CB
⁡
(
m
)
=
1
ε
⁡
(
m
)
/
Δ
⁢
t
+
σ
⁡
(
m
)
/
2
wherein CA(m) is a third coefficient, CB(m) is a fourth coefficient, Ez is an electric field value in a z direction, Hy is a value of a magnetic field in a y direction, Hx is a value of a magnetic field in an x direction, n is a space step, n−1 represents a space step at a previous moment, n+1 represents a space step at a next moment, n−½ represents a space step of a first half moment, n+½ represents a space step of a second half moment, ε(m) is a dielectric constant at a position m, σ(m) is a conductivity at the position m, and Δt is a moment step;
Hx and Hy in the TM mode are:
H
x
n
+
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
=
CP
⁡
(
m
)
·
H
x
n
-
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
-
CQ
⁡
(
m
)
·
1
Δ
⁢
y
[
(
E
z
n
(
i
+
1
/
2
,
j
+
1
/
2
)
+
E
z
n
(
i
,
j
+
1
/
2
)
-
E
z
n
(
i
+
1
/
2
,
j
)
-
E
z
n
(
i
,
j
)
]
⁢
H
y
n
+
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
=
CP
⁡
(
m
)
·
H
y
n
-
1
/
2
(
i
+
1
/
4
,
j
+
1
/
4
)
-
CQ
⁡
(
m
)
·
1
Δ
⁢
x
[
(
E
z
n
(
i
+
1
/
2
,
j
+
1
/
2
)
+
E
z
n
(
i
+
1
/
2
,
j
)
-
E
z
n
(
i
,
j
+
1
/
2
)
-
E
z
n
(
i
,
j
)
)
]
wherein CQ(m) is a second coefficient, i is a coordinate in an x direction, j is a coordinate in a y direction, Δx is a grid size in the x direction, Δy is a grid size in the y direction, and CP(m) is a first coefficient.

516 more elements

Facts

Application

19/006,480Filed 31 Dec 2024

Priority

CN 202410019009.05 Jan 2024

Published

10 Jul 2025

Term ends

Not estimatedThe source records don’t support an estimate.

Classification7 codes

G06F 30/20
Computer-aided design [CAD]: design optimisation, verification or simulation
G06F 30/23
Design optimisation, verification or simulation: using finite element methods [FEM] or finite difference methods [FDM]
G06F 30/367
Circuit design at the analogue level: design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE],…
G06F 2111/10
Details relating to CAD techniques: numerical modelling

Abstract

Claims8