O'Reilly logo

Laser Beam Propagation in Nonlinear Optical Media by Shekhar Guha

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

ηSHGP=Ps(,t1)Pp(0,t1)=20r1dr1er12tanh2(K1er12)

(4.226)

using Eqn. 4.197 for the case of no phase mismatch.

For pulsed incident beams with Gaussian temporal and spatial shapes

Es()=2πdt0rdrIs()=2πr0p2t0pIp0dt10r1dr1er12et12×tanh2(K1er12et12)

(4.227)

so that the energy conversion efficiency for SHG can be written as

ηSHGE=Es()Ep(0)=2πdt10r1dr1er12et12 ×tanh2(K1er12et12).

(4.228)

When K1 ≪ 1, i.e., for the case of no pump depletion, using the relation tanh xx for small x, we have

ηSHGP=2K10r1dr1e2r12=K12=Ip02Ia

(4.229)

and

ηSHGE=2K1πdt10r1dr1e2r12e2t12=

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required