US 2026/0230194 A1 · WAVE MATRIX-BASED CASCADED METASURFACE ELECTROMAGNETIC TRANSMISSION MODELING AND ANALYSIS METHOD, AS WELL AS CASCADED METASURFACE

Abstract

The present disclosure discloses a wave matrix-based cascaded metasurface electromagnetic transmission modeling and analysis method, as well as a cascaded metasurface, which belong to the field of high-frequency communication and artificial electromagnetic metasurface technology. The method takes wave matrix theory as the core, the cascaded structure contains dielectric spacers and n thin-sheet admittance layers, the total electric field is the sum of forward and backward propagation fields, combined with the 90° rotation matrix, the magnetic field expression is obtained. It is equivalent to a four-port network, correlating the wave matrix with the scattering and transmission matrices, the wave matrices of each layer are combined to obtain the overall wave matrix, an isolating dielectric is introduced for correction, and the parameters are solved to complete the modeling.

A wave matrix-based cascaded metasurface electromagnetic transmission modeling and analysis method, comprising:

a cascaded structure is defined as consisting of dielectric spacers and n thin-sheet admittance layers, wherein a total electric field within each region is considered as a sum of a forward propagation field
E
i
+
and a backward propagation field
E
i
-
,
expressed as:
E
i
=
E
i
+
+
E
i
-
;
E
i
+
=
[
E
i
⁢
x
+
E
i
⁢
y
+
]
T
;
E
i
-
=
[
E
i
⁢
x
-
E
i
⁢
y
-
]
T
;
wherein Ei denotes the total electric field within the region,
E
i
⁢
x
+
denotes an x-direction component of a forward propagation electric field in region i;
E
i
⁢
y
+
denotes a y-direction component of the forward propagation electric field in region i;
E
i
⁢
x
-
denotes an x-direction component of a backward propagation electric field in region i, and
E
i
⁢
y
-
denotes a y-direction component of the backward propagation electric field in region i;
a corresponding magnetic field expression is derived by incorporating a 90° rotation matrix, establishing a mathematical relationship between the total electric field and magnetic field in region i;
expressed as:
H
i
+
=
1
η
i
⁢
n
⁢
E
i
+
,
H
i
-
=
-
1
η
i
⁢
nE
i
-
;
n
=
[
0
-
1
1
0
]
;
wherein n denotes the 90° rotation matrix;
E
i
+
denotes a forward propagation electric field vector in region i;
E
i
-
denotes a backward propagation electric field vector in region i;
H
i
+
denotes a forward propagation magnetic field vector in region i;
H
i
+
denotes a backward propagation magnetic field vector in region i;
ηi denotes an intrinsic impedance;
a total magnetic field is expressed as:
H
i
=
H
i
+
+
H
i
-
=
1
η
i
⁢
n
⁡
(
E
i
+
-
E
i
-
)
;
wherein Hi denotes a total magnetic field in region i;
the cascaded structure is equivalent to a four-port network, the ports are arranged in region 1 and region n+1, and x-polarization along with y-polarization are considered at the same time, a 4×4 microwave network parameter matrix is constructed to establish a correlation between an incident wave and a reflected wave;
using a wave matrix to correlate with a scattering matrix and a transmission matrix respectively, wherein the scattering matrix correlates the incident wave with the reflected wave of region 1 and region n+1, the transmission matrix correlates the total electric field and magnetic field of region 1 and region n+1, the wave matrix directly correlates an incident/reflected field of region 1 and a field of region n+1;
wave matrices for the i-th interface and dielectric spacers are defined, according to a definition of wave matrix, the forward/backward propagation field of region i is correlated with the field of region i+1, and a total wave matrix of cascaded structure is obtained by combining wave matrices of n−1 dielectric spacers and n thin-sheet admittance layers through matrix multiplication;
the total wave matrix of the cascaded structure is expressed as:
(
E
i
+
E
i
-
)
=
𝕄
inter
(
1
)
⁢
𝕄
delay
(
2
)
⁢
𝕄
inter
(
2
)
⁢
…
⁢
𝕄
delay
(
n
)
⁢
𝕄
inter
(
n
)
(
E
n
+
1
+
E
n
+
1
-
)
;
wherein
𝕄
inter
(
n
)
denotes a wave matrix of the n-th interface;
𝕄
delay
(
n
)
denotes a wave matrix of the n-th dielectric delay;
E
n
+
1
+
is a forward propagation electric field vector in region n+1;
E
n
+
1
-
is a backward propagation electric field vector in region n+1;
based on boundary conditions, a wave matrix of an interface of the i-th layer is derived, and a wave matrix expression of each component is derived according to a scene, under an assumption of plane wave propagation in the dielectric spacer, a wave matrix of the dielectric spacer is calculated;
after last layer of metasurface, an isolation medium is introduced to modify expression of the total wave matrix and the associated scattering matrix of the cascaded structure, the wave matrix of the interface and the wave matrix of the dielectric spacer are substituted into modified expression to solve key parameters that characterize an electromagnetic response and complete the modeling.

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Wave matrix-based cascaded metasurface electromagnetic transmission modeling and analysis method, as well as cascaded metasurface

Life of this patent

Wave matrix-based cascaded metasurface electromagnetic transmission modeling and analysis method, as well as cascaded metasurface

Life of this patent

Abstract

Claims9