HW1B - Assignment 1B Physics U603 Summer 1 2006 Due Tuesday...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Assignment 1B Physics U603 Summer 1 2006 Due Tuesday, May 16 1. The addition ψ = Ae i ( k 1 x ω 1 t ) + Ae i ( k 2 x ω 2 t ) of two waves with di f erent angular frequencies ω 1 and ω 2 produces beats. Assume nearby fre- quencies, so that ω 1 = ω ω , ω 2 = ω + ω , k 1 = k k ,and k 2 = k + k , and show that the real part of the wave function is 2 A cos ( kx ωt )cos( ) .S k e t c h Re ψ as a function of posi- tion for the case where ω =5 ω and explain the signi f cance of the quantities ω/k and ω/ k (known as the phase speed and the group speed, respectively). 2. A 1.3 mW HeNe laser produces a Gaussian beam of wavelength λ =633 nm and a 0.24 mm diameter at the beam waist. (a) Determine the angular divergence of the beam, the Rayleigh range, and the beam diameter at the surface of the Moon. (b) Compare the optical intensity at the beam waist with the intensity 14 cm from a 100 W point source.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

HW1B - Assignment 1B Physics U603 Summer 1 2006 Due Tuesday...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online