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Lecture 7 Tunable Semiconductor Lasers What determines lasing frequency: Gain spectrum A function of temperature. Optical length of cavity Mirror reflectance spectrum Any perturbation which affects refractive index and/or lasing frequency. Single frequency laser DFB and DBG lasers Tuning achieved by changing heat sink temperature. Tuning by changing bias current which affects the number of carriers in tuning region. 4 nL M M 4 M nL 2M ; M integer c cM 2nL Modulators Mach-Zehnder modulators (electro-optic modulators) Electro-absorption modulators Phase Modulators l ne3r33 V g Electrooptic Modulator (A) Directional coupler geometry (B) Mach-Zehnder configuration Mach-Zehnder modulator Solve wave equation for mode field distribution & propagation constant. u ( x , y , z ) u ( x, y ) e i z 2 neff neff neff V 0 kV where k = constant Mach-Zehnder modulator v Pi Po Thus, by applying V will cause a phase shift for propagating mode. Mach-Zehnder modulator By symmetry, equal amplitudes in 2 arms after passing through the first branch. Mach-Zehnder modulator For the second branch, output depends on relative phases of combining waves: 2 waves in phase. 2 waves rad out of phase Mach-Zehnder modulator Wave amplitudes Pout A 2 out Ain2 i1 e ei2 4 2 Mach-Zehnder modulator i1 e e i2 2 cos 1 cos 2 sin 1 sin 2 2 cos 2 1 cos 2 2 2 cos 1 cos 2 sin 2 1 sin 2 2 2sin 1 sin 2 Pin 1 cos 1 2 Pout 2 2 Mach-Zehnder modulator Pout = Pin 1 2 2M ; M integer Pout = 0 1 2 0 1 0 cV 2 0 cV 1 2 2cV 2 L n eff 1 neff 2 Mach-Zehnder modulator V is a swiching voltage which give Pout -rad phase difference. V is determined by material and electrode configuration. V is different for dissimilar polarizations. Pin Pout 2 V 1 cos V Diffused optical waveguides Diffused optical waveguides: Ti:LiNbO3 indiffused waveguides. Waveguide modes (linearly polarized or ‘LP’): TE mode – light polarized in plane of substrate surface TM mode – light polarized normal to plane of substrate surface. Diffused optical waveguides nTE ( x, y, z ) nsub / TE nwg / TE ( x, y, z ) ne.o./ TE ( x, y, z ) nTM ( x, y, z ) nsub / TM nwg / TM ( x, y, z ) ne.o./ TM ( x, y, z ) Ti indiffused waveguides: Ti metal atoms cause refractive index increase for both TE and TM waves. Proton exchanged waveguides: H atoms exchange with Li atoms in lattice. Refractive index increases for only one polarization; e.g, TE mode. Diffused optical waveguides For digital transmission, different V could degrade ‘on-off radio’ or OOR. Ideally, we want OOR to be close to infinity. Solutions for that are: Use polarized optical input. Use proton exchanged waveguides to eliminate TM modes (get Pout only for TE mode). Example Consider a Mach-Zehnder modulator with an electrode length of 2 cm and electrode gap width g of 12 mm, such that neff / TE KTE E neff / TM KTM E with E the applied electric field, assumed to be constant between the electrodes, and KTE = 5.8 x 10-10 m/V and KTM = 2.0 x 10-10 m/V. What is VTE and VTM ? Note: neff = n0 + Δn in one arm and neff = n0 - Δn in the other arm.