help with lasers hw please

4. The figure below shows a plano-concave laser cavity. The distance between the two mirrors is d= (3/4)R. where R is the radius of curvature of the concave mirror. The power reflectivities of the flat and curved mirrors are 0.99 and 0.97, respectively. There are no other significant losses. Radius of curvature d = (3/4) R Radius of curvature = R R = infinity L a. Find an expression for the resonant frequencies of the TEM 001 (TEM amp) modes of the cavity. If the radius of curvature is 2 m and the wavelength is 500 nm, find the following quantities: b. The free spectral range in MHz. c. Cavity Q- d. Photon lifetime. e. Finesse