Pattern

Far area radiated electromagnetic field of antenna

The pattern is the far area radiation of the antenna electromagnetic field It can be expressed as E θ=E0 [e ·(- jkr)/r] f (θ, φ).

Chinese name: Pattern
Alias: far field Pattern

expression: Eθ=E0[e˙（-jkr）/r]f(θ,φ)
Applicable fields: electric field intensity
Applied discipline: Directional function

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one Directional function
two Changing relationship

Directional function

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Generally,

Hφ=Eθ/η0

Where E θ is electric field intensity The component of θ, in V/m; H φ is magnetic field strength The component of degree φ, in A/m; E is the coefficient related to incentive; F (θ, φ) is called directional function ； η 0=√ (μ 0/ε 0)=120 π is a free space Wave impedance ； K=2 π/λ is the propagation constant. Therefore, the antenna radiation field strength E can be used on the spherical surface away from the antenna r directional function F (θ, φ). Use its maximum value fmax normalization Later referred to as normalization directional function , denoted as F (θ, φ). Directional function is divided into amplitude directional function phase Directional function and power density Directional function. Generally, little attention is paid to the phase distribution, so unless otherwise specified, normalization Directional functions refer to normalized amplitude directional functions.

normalization Amplitude directivity function F(θ,φ)=|E(θ,φ)|/|E(θ,φ)|max=f(θ,φ)/fmax

normalization Power directivity function S(θ,φ)=F(θ,φ)*F(θ,φ)

Traditionally, the directivity function is expressed in decibels FdB=20lg [F (θ, φ)] dB

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The pattern is a graphical representation of directivity function, which can graphically describe the relationship between antenna radiation characteristics and spatial directional coordinates. Radiation characteristics include radiation intensity field strength , phase and polarization. Usually discussed in far field radius The antenna radiation (or reception) power Or the change rule of field intensity with the coordinate of position direction, which is called power pattern and field pattern respectively. The antenna pattern is shown in far field So it is also called far-field pattern.

directional function The directional map drawn is called normalization The pattern is represented by dimensionless relative values or decibels. There are 2D and 3D directional maps. 3D directional map is divided into spherical coordinate 3D directional map and Cartesian coordinates 3D pattern, 2D pattern is divided into polar coordinates There are two kinds of pattern and rectangular coordinate pattern.

An antenna radiation pattern or antenna pattern is difined as "a mathematical function or graphical representation of the radiation properties of the antenna as a function of space coordinate. "

2D rectangular coordinate pattern

2D polar coordinate pattern

3D pattern

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