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2.5 Designs for Related Problems of an ESEC LD  79
                               The preferred medium reflectivities for LD#2 can be chosen as follows:

                                                    R 1 ≥ 0.7,                            (2.52)
                                                       ∼
                                                    R 2 = 0.01,
                                                            h
                                                    0.21 ≥ R ≥ 0.14,
                                                            3
                                                                 l
                                                            h
                                                    0.05 ≥ R − R ≥ 0.02.
                                                                 3
                                                            3
                            Compared with LD#2, LD#1 has advantages of a large permissible range
                            medium reflectivity, but has the disadvantage of temperature rise due to low
                            quantum efficiency.
                               In summary, the optimum design head consists of an LD facet with a
                            reflectivity of R 1 = 0.7and R 2 =0.01, and a medium high reflectivity of
                                            ∼
                                    h
                                                                                        h
                                                                                            l ∼
                            0.21 ≥ R ≥ 0.14. The reflectivity difference between the two states R −R =
                                    3                                                   3   3
                            0.05 and the spacingbetween laser facet and medium is 2 µm. This flying
                            type optical head is now developingfor the candidate of an ultra-high density
                            optical near field storage (see Sect. 5.4.2).
                            Problems
                            2.1. Calculate (2.27) for Si and show the relationship between the cantilever
                            resonant frequency f 0 and the length l in the range of 500 µm ≥ l ≥ 0,
                            thickness t(5 µm ≥ t ≥ 0.5) as a parameter. Here, λ 0 =1.875,E =1.9 ×
                                        2
                                                     3
                            10 12  dyne/cm ,ρ =2.3g/cm ,l is the cantilever length, and t is the thickness.
                                                                  3
                                                              3
                            2.2. Calculate springconstant K = Et b/4l for Si and show the relationship
                            between K and the length l in the same conditions described in Problem 2.1.
                            2.3. Calculate the light output ratio P 2 /P 1 , with medium reflectivity R 3 as a
                            parameter, versus the medium side laser facet reflectivity R 2 , where P 1 is the
                            light from PD side and P 2 is from medium side, R 1 =0.7,h =2 µm.
                            2.4. What are the specific trackingissues that need to be addressed and solved
                            for the higher disk rotation rate?
                            2.5. Are there any reasons to use a 1.3-µm wavelength LD?

                            2.6. Is contamination a serious issue, in practice, for the flyingoptical head?
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