AP3: a) Show that the minimum gain coefficient to have a round trip gain of >1, is: kmin=+2L1ln(RARB1) b) Find kmin for =0.1m1,L=0.3m,RA=98%,RB=95% c) Find the round-trip gain for a laser cavity made in the shape of an equilateral triangle of side D, with a single piece of gain material in one arm of the cavity (of length L ). The reflectivities of the three mirrors are R1, R2, and R3. The loss rate in this cavity is the same everywhere (even outside the gain material), and equal to . AP3: a) Show that the minimum gain coefficient to have a round trip gain of >1, is: kmin=+2L1ln(RARB1) b) Find kmin for =0.1m1,L=0.3m,RA=98%,RB=95% c) Find the round-trip gain for a laser cavity made in the shape of an equilateral triangle of side D, with a single piece of gain material in one arm of the cavity (of length L ). The reflectivities of the three mirrors are R1, R2, and R3. The loss rate in this cavity is the same everywhere (even outside the gain material), and equal to