Abstract
If a laser diode is directly modulated one obtains a modulation of the optical power and also a modulation of the optical frequency. In Section 4.5 we discussed the modulation of the longitudinal mode spectrum, but in addition the optical emission frequency of each of the modes is modulated. Any variation of the injection current yields a variation of the carrier density, which in turn yields a variation of the refractive index and thus of the optical emission frequency.
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References
S. Kobayashi, Y. Yamamoto, M. Ito, and T. Kimura: “Direct frequency modulation in AlGaAs semiconductor lasers”; IEEE J. Quant. Electron., Vol. QE-18, pp. 582–595, April 1982.
C. Harder, K. Vahala, and A. Yariv: “Measurement of the linewidth enhancement factor α of semiconductor lasers”; Appl. Phys. Lett., Vol. 42, pp. 328–330, 15th Feb. 1983.
T. L. Koch and J. E. Bowers: “Nature of wavelength chirping in directly modulated semiconductor lasers”; Electron. Lett., Vol. 20, pp. 1038–1040, 6th Dec. 1984.
O. Nilsson and Y. Yamamoto: “Small-signal response of a semiconductor laser with inhomogeneous linewidth enhancement factor: possibilities of a flat carrier-induced FM response”; Appl. Phys. Lett., Vol. 46, pp. 223–225, 1st Feb. 1985.
C. B. Su, V. Lanzisera and R. Olshansky: “Measurement of nonlinear gain from FM-modulation index of InGaAsP lasers”; Electron. Lett., Vol. 21, pp. 893–895, 26th Sept. 1985.
T. L. Koch and R. A. Linke: “Effect of nonlinear gain reduction on semiconductor laser wavelength chirping”; Appl. Phys. Lett., Vol. 48, pp. 613–615, 10th March 1986.
R. Schimpe, J. E. Bowers, and T. L. Koch: “Characterisation of frequency response of 1.5 μm InGaAsP DFB laser diode and InGaAs pin photodiode by heterodyne measurement technique”; Electron. Lett., Vol. 22, pp. 453–454, 24th April 1986.
K. Kikuchi, T. Fukushima and T. Okoshi: “Frequency-modulation characteristics of semiconductor lasers: deviation from theoretical prediction by rate equation analysis”; Electron. Lett., Vol. 22, pp. 741–743, 3rd July 1986.
A. S. Sudbø: “The frequency chirp of current modulated semiconductor diode lasers”; IEEE J. Quant Electron., Vol. QE-22, pp. 1006–1008, July 1986.
O. Doyle: “Measuring modulus and phase of chirp/modulated power ratio”; Electron. Lett., Vol. 23, pp. 133–134, 29th Jan. 1987.
W. Harth: “Quasistatic carrier induced frequency chirp in semiconductor laser diodes”; Arch. Elektr. Übertr., Vol. 41, pp. 180–182, May/June 1987.
R. E. Epworth: “The measurement of static and dynamic coherence phenomena using a Michelson interferometer”; Proc. Opt. Comm. Conf., Amsterdamm, Sept. 1979, paper 4.2.
S. Saito, Y. Yamamoto, and T. Kimura: “Optical heterodyne detection of directly frequency modulated semiconductor laser signals”; Electron. Lett., Vol. 16, pp. 826–827, 23rd Oct. 1980.
A. Dandridge and L. Goldberg: “Current-induced frequency modulation in diode lasers”; Electron. Lett., Vol. 18, pp. 302–304, 1st April 1982.
H. Olesen and G. Jacobsen: “Phase delay between intensity and frequency modulation of a semiconductor laser (including a new measurement method)”; Proc. 8th Europ. Conf. on Opt Comm., Cannes, France, 21–24 Sept. 1982, pp. 291–295.
G. Jacobsen, H. Olesen, F. Birkedahl and B. Tromberg: “Current/frequency-modulation characteristics for directly optical frequency-modulated injection lasers at 830 nm and 1.3 μm”; Electron. Lett., Vol. 18, pp. 874–876, 30th Sept. 1982.
S. B. Alexander and D. Welford: “Equalisation of semiconductor diode laser frequency modulation with a passive network”; Electron. Lett., Vol. 21, pp. 361–362, 25th April 1985.
D. Welford and S. B. Alexander: “Magnitude and phase characteristics of frequency modulation in directly modulated GaAlAs semiconductor diode lasers”; J. Lightwave Technology, Vol. LT-3, pp. 1092–1099, Oct. 1985.
K. Kikuchi, T. Fukushima and T. Okoshi: “Stripe-structure dependence of frequency modulation characteristics of AlGaAs lasers”; Electron. Lett., Vol. 21, pp. 1088 – 1090, 7th Nov. 1985.
R. S. Vodhanel and N. K. Cheung: “Direct frequency modulation of vapor phase transported distributed feedback semiconductor lasers”; Appl. Phys. Lett., Vol. 48, pp. 966–968, 14th April 1986.
M. Kitamura, M. Yamaguchi, S. Murata, I. Mito, and K. Kobayashi: “Low-threshold and high-temperature single-longitudinal-mode operation of 1.55 μm-band DFB-DC-PBH LDs”; Electron. Lett., Vol. 20, pp. 595–596, 5th July 1984.
F. Koyama, Y. Suematsu, S. Arai and T.-E. Tawee: “1.5–1.6 μm GalnAsP/InP dynamic-single-mode (DSM) lasers with distributed Bragg reflector”; IEEE J. Quant. Electron., Vol. QE-19, pp. 1042–1051, June 1983.
N. A. Olsson, N. K. Dutta, and K. Y. Lion: “Dynamic linewidth of amplitude-modulated single-longitudinal-mode semiconductor lasers operating at 1.5 μm wavelength”; Electron. Lett., Vol. 20, pp. 121–122, 2nd Feb. 1984.
D. A. Frisch and I. D. Henning: “Effect of laser chirp on optical systems-initial tests using a 1480 nmDFB laser”; Electron. Lett., Vol. 20, pp. 631–633, 19th July 1984.
Y. Yoshikuni, T. Matsuoka, G. Motosugi and N. Yamanaka: “Fine structures in the broadened line of distributed feedback lasers unter high-speed direct modulation”; Appl. Phys. Lett., Vol. 45, pp. 820–822, 15th Oct. 1984.
G. Motosugi, Y. Yoshikuni, and Y. Itaya: “Spectral characteristics of a DFB laser unter high-speed direct modulation”; Electron. Lett., Vol. 20, pp. 849–850, 11th Oct. 1984.
M. Osinski and M. J. Adams: “Transient time-averaged spectra of rapidly-modulated semiconductor lasers”; IEE Proc., Vol. 132, Part J, pp. 34–37, Feb. 1985.
Y. Yoshikuni, G. Motosugi, K. Kurumada, and T. Ikegami: “Optimum operation of DFB lasers unter chirped pulse transmission”; Electron. Lett., Vol. 21, pp. 476–477, 23rd May 1985.
R. A. Linke: “Modulation induced transient chirping in single frequency lasers”; IEEE J. Quant. Electron., Vol. QE-21, pp. 593–597, June 1985.
G. V. Agrawal: “Power spectrum of directly modulated single-mode semiconductor lasers: chirp-induced fine structure”; IEEE J. Quant. Electron., Vol. QE-21, pp. 680–686 and 1485, June and Nov. 1985
J. Buus: “Dynamic line broadening of semiconductor lasers modulated at high frequencies”; Electron. Lett., Vol. 21, pp. 129–131, 14th Feb. 1985.
C. Lin and T. L. Koch: “Chirping in 1.55 μm vapour-phase-transport distributed feedback (VPTDFB) semiconductor lasers under picosecond gain switching and 4 GHz modulation”; Electron. Lett., Vol. 21, pp. 958–960, 10th Oct. 1985.
T. M. Shen and G. P. Agrawal: “Pulse-shape effects on frequency chirping in single-frequency semiconductor lasers under current modulation”; J. Lightwave Technology, Vol. LT-4, pp. 497–503, May 1986.
P. Andersson and T. Andersson: “Chirp in picosecond pulses from diode lasers: dependence on the modulation conditions and the linewidth enhancement factor”; J. Lightwave Technology, Vol. LT-4, pp. 795–798, July 1986.
J. E. Caroll, F. Eng, I. H. White and D. F. G. Gallagher: “Dependence of chirp in injection lasers on temporal optical pulse shape”; IEE Proc., Vol. 133, Part J, pp. 279–282, August 1986.
J. P. van der Ziel, R. M. Mikulyak, and H. M. Blount: “Reduction of relaxation resonance and wavelength chirp in antireflection coated 1.3 μm vee-groove InGaAsP-lasers”; J. Appl. Phys., Vol. 59, pp. 1038–1041, 15th Feb. 1986.
R. Olshansky and D. Fye: “Reduction of dynamic linewidth in single-frequency semiconductor lasers”; Electron. Lett., Vol. 20, pp. 928–929, 25th Oct. 1984.
L. Bickers and L. D. Westbrook: “Reduction of transient laser chirp in 1.5 μm DFB lasers by shaping the modulation pulse”; IEE Proc., Vol. 133, Part J, pp. 155–162, April 1986.
F. Koyama and K. Iga: “Frequency chirping of external modulation and its reduction”; Electron. Lett., Vol. 21, pp. 1065–1066, 7th Nov. 1985.
K. Petermann: “Analysis of reduced chirping of semiconductor lasers for improved single-mode-fibre transmission capacity”; Electron. Lett., Vol. 21, pp. 1143–1145, 21st Nov. 1985.
A. P. Mozer: “Einfluß der optischen Pulsform auf das Bitraten-Längenprodukt”; Arch. Elektron. Übertr., Vol. 40, pp. 203–207, July/Aug. 1986.
K. Petermann und U. Krüger: “Chirp reduction in intensity-modulated semiconductor lasers for maximum transmission capacity of single-mode fibres”; Arch. Elektron. Übertr., Vol. 40, pp. 283–288, Sept./Oct. 1986.
P. J. Corvini and T. L. Koch: “Computer simulation of high-bit-rate optical fiber transmission using single-frequency lasers”; J. Lightwave Technology, Vol. LT-5, pp. 1591–1595, Nov. 1987.
S. D. Personick: “Receiver design for digital fibre optic communication system I, II”; Bell Syst. Techn. J., Vol. 52, pp. 843–886, 1973.
D. Marcuse: “Pulse distortion in single-mode fibers. 3: chirped pulses”; Appl. Opt., Vol. 20, pp. 3573–3579, 15th Oct. 1981.
F. Koyama and Y. Suematsu: “Analysis of dynamic spectral width of dynamic-single-mode (DSM) lasers and related transmission bandwidth of single-mode fibers”; IEEE J. Quant. Electron., Vol. QE-21, pp. 292–297, April 1985.
K. Tajima and K. Washio: “Generalized view of Gaussian pulse-transmission characteristics in single-mode optical fibers”; Opt. Lett., Vol. 10, pp. 460–462, Sept. 1985.
U. Krüger and K. Petermann: “Limits of dispersive optical fibre transmission for chirped pulses of finite extinction ratio and nonlinear gain”; Electron. Lett., Vol. 22, pp. 1286–1288, 20th Nov. 1986.
K. Iwashita, K. Nakagawa, A. Nakano and Y. Suzuki: “Chirp pulse transmission through a single-mode fibre”; Electron. Lett., Vol. 18, pp. 873–874, 30th Sept. 1982.
A. H. Gnauck, B. L. Kasper, R. A. Linke, R. W. Dawson, T. L. Koch, T. J. Bridges, E. G. Burkhardt, R. T. Yen, D. P. Wilt, J. C. Campbell, K. Ciemecki Nelson, and L. G. Cohen: “4 Gbit/s transmission over 103 km of optical fiber using a novel electronic multiplexer/demultiplexer”; J. Lightwave Technology, Vol. LT-3, pp. 1032–1035, Oct. 1985.
L. D. Westbrook: “Dispersion of linewidth-broadening factor in 1.5 μm laser diodes”; Electron. Lett., Vol. 21, pp. 1018–1019, 24th Oct. 1985.
S. Ogita, M. Yano, and H. Imai: “Theoretical calculation of the linewidth enhancement of DFB lasers”; Electron. Lett., Vol. 22, pp. 580–581, 22nd May 1986.
M. Osinski and J. Buus: “Linewidth broadening factor in semiconductor lasers — an overview”; IEEE J. Quant. Electron., Vol. QE-23, pp. 9–29, Jan. 1987.
C. A. Green, N. K. Dutta, and W. Watson: “Linewidth enhancement factor in InGaAsP/InP multiple quantum well lasers”; Appl. Phys. Lett., Vol. 50, pp. 1409 – 1410, 18th May 1987.
L. D. Westbrook and M. J. Adams: “Simple expressions for the linewidth enhancement factor in direct-gap semiconductors”; IEE Proc., Part J, Vol. 134, pp. 209–214, Aug. 1987.
T. Fujita, J. Ohya, S. Ishizuka, K. Fujito, and H. Sato: “Oscillation frequency shift suppression of semiconductor lasers coupled to external cavity”; Electron. Lett., Vol. 20, pp. 416–417, 10th May 1984.
K. Vahala and A. Yariv: “Detuned loading in coupled cavity semiconductor lasers — effect on quantum noise and dynamics”; Appl. Phys. Lett., Vol. 45, pp. 501–503, 1st Sept. 1984.
L. A. Coldren, G. D. Boyd and C. A. Burrus: “Dependence of chirping on cavity separation in two-section coupled-cavity lasers”; Electron. Lett., Vol. 21, pp. 527 – 528, 6th June 1985.
F. Kappeler: “Dynamic single-frequency low-chirp operation of a laterally coupled (LCW) laser”; Electron. Lett., Vol. 20, pp. 1040–1041, 6th Dec. 1984.
G. H. B. Thompson: “Compensation of line-broadening factor in twin-stripe semiconductor lasers and improved modulation potential”; Electron. Lett., Vol. 22, pp. 621–622, 5th June 1986.
R. F. Kazarinov and C. H. Henry: “The relation of line narrowing and chirp reduction resulting from the coupling of a semiconductor laser to a passive resonator”; IEEE J. Quant. Electron., Vol. QE-23, pp. 1401–1409, Sept. 1987.
E. Patzak, A. Sugimura, S. Saito, T. Mukai, and H. Olesen: “Semiconductor linewidth in optical feedback configurations”; Electron. Lett., Vol. 19, pp. 1026–1027, 24th Nov. 1983.
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© 1988 Kluwer Academic Publishers
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Petermann, K. (1988). Frequency-Modulation Characteristics of Laser Diodes. In: Laser Diode Modulation and Noise. Advances in Optoelectronics (ADOP), vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2907-4_5
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DOI: https://doi.org/10.1007/978-94-009-2907-4_5
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