Develop an understanding of the phenomenon

Assignment Help Management Theories

Reference no: EM131098756

Cascaded optical nonlinearities. The intent of this problem is to develop an understanding of the phenomenon known as cascaded optical nonlinearities. By cascaded optical nonlinearities, one means that, through propagation, a second-order nonlinearity can mimic a third-order nonlinearity. In particular, in this problem you are to calculate the phase shift acquired by an optical wave in propagating through a second-order nonlinear optical material under conditions of nearly phase-matched second-harmonic generation, and to determine the conditions under which the phase shift acquired by the fundamental wave is approximately proportional to the product of the path length and the intensity

To proceed, start for example with Eqs. (2.7.10) and (2.7.11), and show that one can eliminate A2 to obtain the equation

where is a constant (give an expression for it) and A0 is the incident value of the fundamental field. Show that under proper conditions (give specifics) the solute

n to this equation corresponds to a wave whose phase increases linearly with the length L of the nonlinear material and with the intensity I of the incident wave.

Reference no: EM131098756

Questions Cloud

Harmonic generation with focused gaussian beams : Harmonic generation with focused gaussian beams. Develop and elucidate a conceptual understanding of why the intensity of the generated harmonic signal vanishes whenever the phase mismatch factor ?kL is negative or zero. (See Fig. 2.10.2.)

Equation that represents relation : The amount of money they spend on the first day plus the amount of money they spend on the second day equals 2.3 times the amount they spent on the third day. Write an equation that represents this relation, and solve.

Optimum focusing and second-harmonic generation : Optimum focusing and second-harmonic generation. Explain why it is that under optimum focusing conditions the power generated at the second harmonic frequency scales linearly rather than quadratically with the length L of the nonlinear crystal.

Find the magnitude and direction of the electric field : Find the magnitude and direction of the electric field due to this particle at a point 0.250 m directly above it.

Develop an understanding of the phenomenon : Cascaded optical nonlinearities. The intent of this problem is to develop an understanding of the phenomenon known as cascaded optical nonlinearities.

Find the cournot quantity-price and consumer surplus : If the inverse demand function is P=175-3Q, where Q is the Quantity, P is the market price, and suppose the cost function is , i=1,2. Find: Cournot quantity, price, consumer surplus, and each firm`s profit( Hint: two firms are operating in this marke..

What is her velocity when her feet hit the water : A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/s, and her takeoff point is 1.30 m above the pool.

Write a report on an engineering failure : ENGG100 Assessment - Failure analysis - Write a report on an engineering failure of a consumer product. Present the failure analysis in the style of a technical report.

How is the area of convergence determined : Explain the terms "area of convergence" and "area of origin" and explain what each term reveals to an investigator. How is the area of convergence determined?

User Account

All Pages