Problem 1 Consider a confocal symmetric resonator with R = d = 75 cm. Calculate: (a) The smallest frequency separation between resonator modes (free spectral range). Consider both longitudinal and transverse modes. (b) Can this resonator be used to resolve a spectrum of 150 MHz width? (c) If somehow we can suppress higher order modes in such a resonator, what's the free spectral range? Can it be used as spectrum analyzer for a spectrum width of 150 MHz? Problem 2 Consider a nonconfocal symmetric resonator with R = R = 75 cm and d = 100 cm. Calculate: (a) The minimum frequency separation between two longitudinal modes. (b) The frequency separation between the HG00 mode and the HG10 mode for a given longitudinal mode index q. (c) The frequency separation between the HG26 mode and the HG12 mode for a given longitudinal mode index q. (d) What is the free spectral range of this resonator?