Question

Consider the problem of “mode-matching” the Gaussian beam from a laser to the normal mode of the confocal cavity shown on the following page. We require that Z01 be transformed into Z02 with the proper choice of a lens of focal length f and distances d1 and d2. What are the design equations for the choice of the lens and distances?Zo1 LASER BEAM d1

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202 olp plane of laser : R=00&zoi ilp plane of confocul carity : R2 = 0o & 302 For mode matching : . 7 SĂ B7 W=11 dz 7riorri

Subsbibating m® -- (-4)2-14 - Let 2012 a 4 202 646 ter, z doby x²–2x - (alf-l-q2720 inalt Jalf-a² y z 2 bla Jalb-a² di = f =

While solving for d1 and d2, substitute x, y, a, b for convenience and then resubstitute d1, d2, z01, z02.

Equations of d1 and d2 are the required design equa

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