A monochromatic plane wave of wavelength 500 µm is propagating in the direction as shown in the figure below. $$\overrightarrow{E_{i} } ,\overrightarrow{E_{r}} , \overrightarrow{E_{t}}$$ denotes incident, reflected and transmitted electric field vectors associated with the wave. The expression for $$\overrightarrow{E_{t}}$$ and $$\overrightarrow{E_{r}}$$ are

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$0.10 \frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x-y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$- 0.10 \frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$

$$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}-\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$ and $$\frac{E_{0}}{\sqrt{2}} ( \hat{a_{x}}+\hat{a_{y}}) e^{-j \frac{2 \pi \times 10^{4}(x+y)}{5\sqrt{2}}} \frac{V}{m}$$