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Assuming a_y and a_z refer to the unit vectors along the Y and Z axis and that E_10 and E_20 are numerical constants, your E field would be a linearly polarized.
The axis of polarization would be a slant line in between the Y and Z axis. (the angle would be dependent on the ratio of E_10 to E_20).
The sin(...) component just serves to indicate oscillation (and direction of travel) for this wave.
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