A plane electromagnetic wave is propagating along the direction \(\frac{\hat{i}+\hat{j}}{\sqrt{2}}\), with its polarization along the direction \(\hat{k}\). The correct form of the magnetic field of the wave would be (here B0 is an appropriate constant):
1
\(\mathrm{B}_0 \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cos \left(\omega \mathrm{t}-k \frac{\hat{i}+\hat{j}}{\sqrt{2}}\right)\)
2
\(\mathrm{B}_0 \frac{\hat{j}-\hat{i}}{\sqrt{2}} \cos \left(\omega \mathrm{t}+k \frac{\hat{i}+\hat{j}}{\sqrt{2}}\right)\)
3
\(\mathrm{B}_0 \frac{\hat{i}-\hat{j}}{\sqrt{2}} \cos \left(\omega \mathrm{t}-k \frac{\hat{i}+\hat{j}}{\sqrt{2}}\right)\)
4
\(\mathrm{B}_0 \hat{k} \cos \left(\omega \mathrm{t}-k \frac{\hat{i}+\hat{j}}{\sqrt{2}}\right)\)