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38 3.9 "*=^- ( Vr2 m +/ 2 -/) 3.10 For M=1, a binary lens, Equations 3.9 and 3.10 reduce to Equations 3.5 and 3.6. Thus, Equations 3.9 and 3.10 may be used as a general description for a N level diffractive lens. 3.4 Diffraction Efficiency The diffraction efficiency of a N level diffractive lens may be calculated using scalar diffraction theory, i.e. Fraunhofer diffraction. 41 Figure 3-8 illustrates a N level element that is periodic in T. For such a periodic structure, the diffraction orders can be calculated by taking the Fourier Transform of the grating transmittance function of one period of the grating. Each period T in Figure 3-8 is composed of N sub-periods of width T/N centered at 3.11 where L is an integer from 0 to (N-1). These sub-periods may be defined as rect functions,
39 a) T/N b) t(x) T/N ej2ro|> - I-* •! i X-T/N x X+T/N Figure 3-8 (a) N level diffractive element (b) one sub-period.
Page 1: INFORMATION TO USERS This manuscrip
Page 5 and 6: DIFFRACTIVE MICROLENSES FOR FIBER O
Page 7 and 8: ACKNOWLEDGEMENTS 3 I would like to
Page 9 and 10: 5 Page 4.3 Photoresist Deposition 4
Page 11 and 12: 7 Page 4-2 Exposure test results fr
Page 13 and 14: ABSTRACT 9 The design, fabrication,
Page 15 and 16: 11 architectures. 3,4 5 8 In all of
Page 17 and 18: 13 microlenses have been presented
Page 19 and 20: 15 element acts as an interface bet
Page 21 and 22: CHAPTER 2 17 LENS PARAMETERS FOR FI
Page 23 and 24: 19 power coupling efficiency, T, be
Page 25 and 26: lens is, 21 NAflber = ^=m^. R R . 2
Page 27 and 28: 2.3 Chromatic Aberration 23 Despite
Page 29 and 30: 25 JL 0.985 0.99 0.995 .005 .015 >r
Page 31 and 32: 27 Propagation Distance (mm) Figure
Page 33 and 34: 29 spherical wave emitted from a po
Page 35 and 36: 31 zones is used, the light from ev
Page 37 and 38: 33 OPD=Jrl+f 2 3 3 The incident pla
Page 39 and 40: 3.3 Multi-level Diffractive Lenses
Page 41: 37 four level approximation. As the
Page 45 and 46: 41 A m = e-^sinci^j^t ij = 0 3.17 a
Page 47 and 48: 43 defining the structure of the le
Page 49 and 50: 45 where n is the index of the subs
Page 51 and 52: 47 B Q B mosiac aligned misaligned
Page 53 and 54: 49 4.3 Photoresist Deposition Shipl
Page 55 and 56: 51 Kfl A) 0 . . t .. .'i'S'l'lTtj
Page 57 and 58: 53 A. Substrate Preparation: 1. Soa
Page 59 and 60: 55 modulation is calculated using E
Page 61 and 62: Figure 4-5 Photographs from a scann
Page 63 and 64: 59 was taken as the distance the kn
Page 65 and 66: 61 SAMPLE 1 t IMAX=40.37% SAMPLE 2
Page 67 and 68: 63 670 nm Laser diode Microlens Arr
Page 69 and 70: 65 1 Experimental data n Ideal Gaus
Page 71 and 72: 67 /OwQ\ xCX /TK X~X Fiber Figure 5
Page 73 and 74: 5.4 Conclusions 69 The design, fabr
Page 75 and 76: Appendix A: MATLAB PROGRAM
Page 77 and 78: theta=4*lammm/pi/dmm; z=0:100; dg=d
Page 79 and 80: 75 4" MASK 1" SQUARE CENTER I NOTES
Page 81 and 82: TWP67 V=2mm H=5mm, 77 TWD671 BL1 AM
Page 83 and 84: 15 J.Jahns and A. Huang, "Planar in
Page 85: "J.L. Vossen and W. Kem, Thin Film

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