Ohio State University Frequency of the Electro Optical Engineering Problems

1. (a) Please write down the mathematical expression for plane wave.

(b) Please write down the mathematical expression for cylindrical wave.

(c) Please write down the mathematical expression for spherical wave.

2. A light beam with a wavelength (??=0.55 ???? in vacuum) enters a glass with a refractive index (??=1.5).

(a) Please calculate the frequency of the light in glass.

(b) Please calculate the speed of the light in glass.

(c) Please calculate the wavelength of the light in glass.

3. A light beam enters a glass with a refractive index (??=1.5) from the air. The incident angle is 30 deg.

(a) Please calculate the percentage of reflected light energy and transmitted light energy if the polarization of incoming light is perpendicular to the incident plane.

(b) Please calculate the percentage of reflected light energy and transmitted light energy if the polarization of incoming light is parallel to the incident plane.

4. A light beam has a polarization direction parallel to the incident plane. If the light beam enters a high refractive index glass (with ??=1.7), please calculate the Brewster angle in this case.

5. A light beam enters the air from the glass with a refractive index (??=1.6) from the air. The wavelength of the light is ??=0.55 ????.

(a) Calculate the total reflection angle.

(b) If the incident angle is 45 deg, please calculate the penetration depth of the evanescent wave in this case.

6. A mirror is made of silver. Assume that the complex refractive index of silver is ???=0.125+??3.307 at the wavelength of 546 nm. Please calculate the percentage of reflected light energy for the normal incident light wave.

7. Please calculate the electric field of Sun light at the earth surface in terms of V/m. We assume that the irradiance of Sun light at the earth surface is 1000 W/m2.

8. Repeat Prob. 7 for a femtosecond laser has a pulse energy 1 mJ and a pulse width 100 fs. The size of laser beam is 1 cm2.