2. You are a semiconductor engineer designing a sandwich structure for optical absorption and sensing. You create a structure with a thin conductive semiconductor sandwiched between two thick highly insulating layers so that an electron in the middle layer closely resembles a "particle in a box". a. will the electron in the middle layer be able to absorb light of any wavelength? Why or why not? b. If the middle layer is 15nm thick, calculate the longest wavelength of light the electron will absorb? c. You want to redesign the structure to increase the wavelength that the electron can absorb. Should you increase or decrease the thickness of the middle layer? Explain your answer. d. Calculate the next 3 wavelengths that the electron can absorb, assuming that the electron always starts in the lowest possible state