## Circular Polarization Condition of 2 Linearly Polarized Waves

### [Problem]

Show the condition such that
the total field of two linearly polarized waves with crossing angle
becomes a circularly polarized wave,
where A and B are complex numbers.

### [Solution]

### [Animation]

__Example 1 (Circularly polarized wave)__

An animation of the total field of
A=ra exp(j a) and B=rb exp(j b)
in the case that =30,ra=rb=1,a=0,b=+180

- Red : x'A (linear polarization along x' axis)
- Green : y'B (linear polarization along y' axis)
- Black : x'A+y'B (total field, circularly polarization)

__Example 2 (Circularly polarized wave)__

An animation of the total field of
A=ra exp(j a) and B=rb exp(j b)
in the case that =90,ra=rb=1,a=0,b=+180

__Example 3 (Elliptically polarized wave)__

An animation of the total field of
A=ra exp(j a) and B=rb exp(j b)
in the case that =90,ra=1,rb=1/2,a=0,b=+180

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