Page 48 - Tunable Lasers Handbook
P. 48
2 Narrow-Linewidth Laser Oscillators 29
Further information on wavelength tuning can be found in Chapter 6.
including details on birefringent filters.
APPENDIX: DISPERSION OF MULTIPLE-PRISM ARRAYS
AND 4 X 4 TRANSFER MATRICES
The description of optical systems using ray transfer matrices of the 3 x 3.
4 x 4, and 6 x 6 format has been discussed by several authors [45.69,70]. In the
4 x 4 notation the matrix can have the following form [48]:
(34)
where the ABCD terms have their usual meaning (given in Table 2) and the F
term can be related to dispersion [71]. For a flat mirror the matrix becomes
1000
0100 (35)
0010 '
0001
and for a thin convex lens the ABCD terms have their usual meaning (given in
Table 2) and E =F = G = H = I= 0 [48].
For a single m'th prism the values of the ABCD terms are as given in Table
2, namely.
c,,, = 0 * 138)
The remaining terms are given by 1481 and can be written in the following form
[47] :