VERIFICATION #7 Mode matching with d1 swept + / - 5 mm

Given w1 = 6 microns, d1 = 30 mm, f = 15 mm, and wavelength = 1550 nm, w2 = 5.99993 microns and d2 = 29.9996 mm .

Further information of interest for this system: at the lens, the beam 1/e2 radius (1/e2diameter) is wL =2466.91 microns (2wL = 4933.82 microns).

Results obtained using relationships derived from equations presented in:
H. Kogelnik and T. Li, "Laser beams and resonators," Appl. Opt. Vol. 5, No. 10, October 1966, pp. 1550-1567

Varying the distance from waist to lens(d1) yields the following results:
d1 (mm) w2 (microns) d2 (mm) wL (microns)
25 8.99976 37.4988 2055.76
25.7143 8.39981 35.999 2114.5
26.4286 7.87484 34.6867 2173.23
27.1429 7.41163 33.5287 2231.97
27.8571 6.99989 32.4994 2290.7
28.5714 6.63148 31.5785 2349.44
29.2857 6.29992 30.7496 2408.17
30 5.99993 29.9996 2466.91
30.7143 5.72721 29.3179 2525.64
31.4286 5.47821 28.6954 2584.38
32.1429 5.24995 28.1248 2643.12
32.8571 5.03996 27.5998 2701.85
33.5714 4.84612 27.1152 2760.59
34.2857 4.66663 26.6665 2819.32
35 4.49997 26.2499 2878.06

Feel free to cut and paste these values into a spreadsheet or other program.

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