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the radiated fields of infinitesimal linear wire, that very small (l ≪ λ), is very thin (a ≪ λ)

Source: Antenna Theory: Analysis and Design, Fourth Edition. Constantine A. Balanis, 2016 John Wiley & Sons,

length of dipole l 1 cm * :

frequency Freq 3 MHz * :

length of EM wave λ c Freq / : 99.9308 m *

Checking: the dipole sould be small. L/lambda << 1 l λ 4 / (/ 0.0004

angular frequency ω 2 π * Freq * : rad sec / 1.885 107^*

magnitude of electric current I.ac 1 A * :

phase of electric current φ.0 0 deg * :

Fig. 4.1 Geometrical arrangement of an infinitesimal dipole and its associated electric-field components
on a spherical surface

Complex amplitude of electric current I I.ac e i φ.0 *^* : 1 A *

t Phasor e i ω * t *^:

H.0 i π * I * l λ 2^/ * : 3.1459 106 -^* i * A m / *

impedance of free-space Z.0 μ.0 ε.0 / sqrt : 376.7303 Ω *

ree-space propagation constant k.0 ω μ.0 ε.0 * sqrt * : 0.0629 1 m / *

r G e i k.0 * r * -^k.0 r * / :

θ 180 - 180179 - range 1 * deg * :

r θ H.φ H.0 θ sin * r G * 11 i k.0 * r * / + (* :

r θ E.r 2 Z.0 * H.0 * θ cos * r G * 1 i k.0 * r * / 1 i k.0 * r * (2^/ + (* :

r θ E.θ Z.0 H.0 * θ sin * r G * 11 i k.0 * r * / 1 i k.0 * r * (2^/ + + (* :

releation of E.r versius a distanse by Theta=90deg

x 0 E.r abs

E.theta by distance = 10 meter (Far Field) θ F.θ 10 m * θ E.θ abs 10 m * 90 deg * E.θ abs / :

polar diagram F.theta by Theta = [-180;..180]deg

x F.θ