Assignment 8

Problem 1:

Estimate the electric field strength at the focus of a pulsed, Q-switched, ruby laser beam.  The focal spot has a diameter of 10-4 m.  The energy of the pulse is 2 J, and the pulse has a FWHM of 10 ns.

Problem 2:

Describe mathematically the field-dependent nonlinear index.  Explain how this quantity is made manifest phenomenologically in damaging optical components subjected to high-peak-power laser radiation.

Problem 3:

An longitudinal electro-optic modulator has an intrinsic transmission of 95% (5% insertion loss).  The crystal in it is 3 mm long.  A light beam with a wavelength of 633 nm is directed through it.  Voltage is applied so that the induced change in index of refraction is 0.0001.  Calculate the transmission of the electro-optic modulator.

Problem 4:

Define the difference in operation for an electro-optic modulator operated in the longitudinal and transverse modes.  Draw a diagram illustrating each configuration.  Compare the characteristics of each mode.