Intensity Distribution of the Double-Slit

Interference Pattern

(3.7)

(3.9) (3.8)

Intensity Distribution of the Double-Slit

Interference Pattern

(3.10)

(3.11) (3.12)

(3.13)

Phasor Addition of Waves

Phasor Addition of Waves

Phasor Addition of Waves

We can now describe how to obtain the resultant of several waves that have the same frequency:

• Represent the waves by phasors, as shown in Figure, remembering to maintain the proper phase relationship between one phasor and the next.

• The resultant phasor ER is the vector

sum of the individual

phasors. At each instant, the projection of ER along the vertical axis represents

the time variation of the resultant wave. The phase angle α of the resultant wave is the angle between ER and the first

phasor. From Figure, drawn for four phasors, we see that the resultant wave is given by the expression

Phasor Addition of Waves

Phasor Diagrams for Two Coherent Sources

Phasor Addition of Waves

Phasor Addition of Waves

Phasor Addition of Waves