1 Einführung in die Pfeiladdition
Author: Markus Sesselmann

Einführung in die Pfeiladdition

f_{1}(x) = Amplitude_{1} \cdot sin(\frac{2\cdot\pi \cdot x}{\lambda_{1}})

f_{2}(x) = Amplitude_{2}·sin(\frac{2\cdot\pi\cdot x}{λ_{2}} + Δφ)

f_{3}(x) = f_{1}(x) + f_{2}(x)

Du kannst den Punkt A auf der x-Achse im Bereich von 0 bis 14 bewegen!

Amplitude1 = 2.4 (slider from 0 to 5, step 0.2)
Amplitude2 = 3.7 (slider from 0 to 10, step 0.1)
λ1 = 10.1 (slider from 0 to 14, step 0.5)
λ2 = 2.6 (slider from 0 to 10, step 0.1)
Δφ = 0.2 (slider from -4 to 4, step 0.1)
f1 = Function(Amplitude1 * sin(2 * π * x / λ1), 0, 14)
f2 = Function(Amplitude2 * sin(2 * π * x / λ2 + Δφ), 0, 14)
f3 = Function(f1(x) + f2(x), 0, 14)
T = Intersect(f1, yAxis, (0, 0))
T2 = (14, 0)
t = Segment(T, T2)
A = Point(t)
B1: (x(A), f1(A))
B2: (x(A), f2(A))
C: (x(A), f3(A))
O = (-10, 0)
z: (Amplitude1; 2 * π * x(A) / λ1)
v: (Amplitude2; 2 * π * x(A) / λ2 + Δφ)
O1 = Translate(O, z)
u1 = Translate(z, O)
k1: (x + 10)^(2) + y^(2) = (x(O1) - x(O))^(2) + (y(O1) - y(O))^(2)
u2 = Translate(v, O)
O2 = Translate(O, v)
k2: (x + 10)^(2) + y^(2) = (x(O2) - x(O))^(2) + (y(O2) - y(O))^(2)
O3 = Translate(O, Vector[v + z])
u3 = Translate(Vector[v + z], O)
k3: (x + 10)^(2) + y^(2) = (x(O3) - x(O))^(2) + (y(O3) - y(O))^(2)
u2' = Translate(u2, O1)
u1' = Translate(u1, O2)