Equation is the complex envelope of Gaussian beam as a solution to the paraxial Helmholtz A...

 

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Equation is the complex envelope of Gaussian beam as a solution to the paraxial Helmholtz A (40) exp[-14 27(0)] p q(z) A(r) = Then, the Gaussian wavefunction is U(r) Ao U(r) = A(r) exp(-jkz) 1 As we write q(z) Show Gaussian beam can be described as below: Wo 01 (2) exp[-W (2)] exp[-jk: 1 R(z) = q(z)=z+jz0.- J A TW (2) exp[-jkz - jk2R (2) + j()] Equation is the complex envelope of Gaussian beam as a solution to the paraxial Helmholtz A (40) exp[-14 27(0)] p q(z) A(r) = Then, the Gaussian wavefunction is U(r) Ao U(r) = A(r) exp(-jkz) 1 As we write q(z) Show Gaussian beam can be described as below: Wo 01 (2) exp[-W (2)] exp[-jk: 1 R(z) = q(z)=z+jz0.- J A TW (2) exp[-jkz - jk2R (2) + j()]

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To show that the Gaussian beam can be described as Ur A0 W0 expr2 W02 expjkr jk2Rz jrz Lets break do... View the full answer