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The problem of electric field distribution of gaussian beam with spherical geometry

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I make a model of laser heating by using scattering boundary condition to input the formula of gaussian beam in the electric field, which is E=E0w0/w(x)exp(-(y^2+z^2)/w(x)^2)exp(-iatan(x/x0)+ik0(y^2+z^2)/(2R(x)))exp(ik0x). The problem is the last one ,exp(ik0x).I set the original point in the position of waist. The distance between the position of waist and the spherical surface of the geometry is 100mm. It is quite a gap when I use exp(ik0100) to replace exp(ik0x) whether it's a temperature distribution or an electric field distribution. but when I change the geometry to a plane structure, I can get the same results between exp(ik0100) and exp(ik0x) . But I don't know why? Thank you very much.


1 Reply Last Post 08.11.2017, 21:19 GMT-5

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Posted: 7 years ago 08.11.2017, 21:19 GMT-5

Sorry,the formula of the electric field distribution of the gaussian beam was wrong in the problem submitted. It should be E = E0 *w0 / w(x) exp( - (y ^ 2 + z ^ 2)/ w( x)^ 2)exp(i atan(x / x0)- i k0(y ^ 2 + z ^ 2)/(2 R(x))) exp(-i k0 x)

Sorry,the formula of the electric field distribution of the gaussian beam was wrong in the problem submitted. It should be E = E0 *w0 / w(x) exp( - (y ^ 2 + z ^ 2)/ w( x)^ 2)exp(i atan(x / x0)- i k0(y ^ 2 + z ^ 2)/(2 R(x))) exp(-i k0 x)

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