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Dive into the research topics where Christoph Harder is active.

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Featured researches published by Christoph Harder.


Applied Physics Letters | 1983

Measurement of the linewidth enhancement factor α of semiconductor lasers

Christoph Harder; Kerry J. Vahala; Amnon Yariv

A theory of the amplitude and phase modulation characteristic of a single mode semiconductor laser is presented. In this model the amplitude modulation couples through the complex susceptibility of the gain medium to the phase. We show that this coupling constant can be obtained by a high‐frequency modulation experiment. This measured coupling constant is used to infer the linewidth enhancement factor α as discussed by Henry, and Vahala and Yariv. Experiments confirmed the model and we measured a linewidth enhancement factor ‖α‖=4.6±1.0 for a GaAlAs buried optical guide laser.


IEEE Journal of Quantum Electronics | 1982

Bistability and pulsations in semiconductor lasers with inhomogeneous current injection

Christoph Harder; Kam Y. Lau; Amnon Yariv

Bistability and pulsation at microwave frequencies are observed in CW GaAs semiconductor lasers with inhomogeneous current injection. Inhomogeneous current injection is achieved with a segmented contact structure. Crucial to the understanding of the characteristics of this device is the discovery of a negative differential electrical resistance across the contacts of the absorbing section. Depending on the electrical bias condition, this negative differential resistance leads to bistability or light-jumps and self pulsations. A simple model based on conventional rate equations with a linear gain dependence on carrier density explains the observed behavior and suggests a new mechanism in inhomogeneously pumped diode lasers for light-jumps and pulsations which does not depend on the condition for the usually proposed repetitively Q -switching. Investigation of the switching dynamics of this bistable optoelectronic device reveals a delay time which is critically dependent on the trigger pulse amplitude and typically on the order of a few nanoseconds with power-delay products of 100 pJ. The observed critical slowing down and its origin is discussed. We also report on the characteristic of this laser coupled to an external optical cavity and we demonstrate successfully that this bistable laser can be used as a self coupled stylus for optical disk readout with an excellent signal to noise ratio.


IEEE Journal of Quantum Electronics | 1982

Noise equivalent circuit of a semiconductor laser diode

Christoph Harder; Joseph Katz; S. Margalit; J. Shacham; Amnon Yariv

The noise equivalent circuit of a semiconductor laser diode is derived from the rate equations including Langevin noise sources. This equivalent circuit allows a straightforward calculation of the noise and modulation characteristics of a laser diode combined with electronic components. The intrinsic junction voltage noise spectrum and the light intensity fluctuation of a current driven laser diode are calculated as a function of bias current and frequency.


IEEE Journal of Quantum Electronics | 1981

The intrinsic electrical equivalent circuit of a laser diode

J. Katz; S. Margalit; Christoph Harder; D. Wilt; Amnon Yariv

The basic electrical equivalent circuit of a laser diode is derived. The effects of spontaneous emission and self-pulsations are included. It is found that self-pulsations are represented by a negative resistance in the model. Application of this model suggests purely electronic methods of suppressing relaxation oscillations in laser diodes.


Applied Physics Letters | 1983

Passive mode locking of buried heterostructure lasers with nonuniform current injection

Christoph Harder; J. S. Smith; Kam Y. Lau; Amnon Yariv

In this letter we report on a novel method to passively mode lock a semiconductor laser. We present experimental results of GaAlAs buried heterostructure semiconductor laser with a split contact coupled to an external cavity. The split contact structure is used to introduce a controllable amount of saturable absorption which is necessary to initiate passive mode locking. Unlike previous passive mode locking techniques, the method presented does not rely on absorption introduced by damaging the crystal and is consequently inherently more reliable. We have obtained pulses with a full width at half-maximum of 35 ps at repetition frequencies between 500 MHz and 1.5 GHz.


IEEE Journal of Quantum Electronics | 1995

Gain, refractive index, linewidth enhancement factor from spontaneous emission of strained GaInP quantum-well lasers

Guido Hunziker; Werner Knop; Peter Unger; Christoph Harder

Unamplified spontaneously emitted light was measured through openings in the top contact of GaInP strained quantum-well ridge lasers. The data was recorded over a spectral range from 1.65 to 2.25 eV for different injection currents below threshold. Hakki-Paoli gain measurements of the same devices were used to determine the quasi-Fermi level separation and the scaling constant needed to calculate the modal gain from spontaneous emission spectra. The refractive index change due to current injection and the linewidth enhancement factor were derived from this data. >


IEEE Journal of Quantum Electronics | 1984

Longitudinal mode spectrum of semiconductor lasers under high-speed modulation

Kam Y. Lau; Christoph Harder; Amnon Yariv

Experimental observations of the lasing spectrum of a single-mode semiconductor laser under continuous microwave modulation reveal that the lasing spectrum is apparently locked to a single-longitudinal mode for optical modulation depths up to ∼ 80 percent, beyond which the lasing spectrum breaks into multimode oscillation. The width of the envelope of the multimode spectrum increases very rapidly with further increase in modulation depth. These results are satisfactorily explained by a theoretical treatment which gives simple analytic results for the time evolution of the individual longitudinal modes. It also yields considerable insight into spectral dynamics, and enables one to predict the dynamic lasing spectrum of a laser from its CW lasing spectra at various output powers. The results can also be used to predict the amount of spectral envelope broadening under single or pseudo-random pulse modulation.


Optics Communications | 1981

Ultimate frequency response of GaAs injection lasers

Kam Y. Lau; Christoph Harder; A. Yariv

Abstract The maximum frequency response attainable in GaAs injection lasers under constraints of limited current density and optical power density is examined in this communication. It is found that under a prescribed current and optical limit, an optimum cavity length exists at which the frequency response attains its maximum. Fundamental frequency limitations under various operating conditions are depicted graphically.


Applied Physics Letters | 1983

InGaAsP/InP undercut mesa laser with planar polyimide passivation

U. Koren; T. R. Chen; Christoph Harder; A. Hasson; K. L. Yu; L. C. Chiu; S. Margalit; Amnon Yariv

An undercut mesa laser is fabricated on an n + -InP substrate using a single step liquid phase epitaxy growth process and a planar structure is obtained by using a polyimide filling layer. The lasers operate at fundamental transverse mode due to a scattering loss mechanism. Threshold currents of 18 mA and stable single transverse mode operating at high currents are obtained.


IEEE Journal of Quantum Electronics | 1994

Gain measurements on one, two, and three strained GaInP quantum well laser diodes

Guido Hunziker; Werner Knop; Christoph Harder

We report on systematic investigations of the modal gain below threshold for one, two, and three compressively strained 680 nm AlGaInP quantum well lasers using the Hakki-Paoli method. Accurate values of the gain are obtained by carefully spacial filtering the light for the fundamental waveguide mode. Gain flattening and peak gain shifts are observed even at moderate pumping levels. It is shown that the gain scales very well with the number of quantum wells. We also observe that gain flattening starts at current densities per quantum well of 700 A/cm/sup 2/. >

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Amnon Yariv

California Institute of Technology

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Kam Y. Lau

University of California

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S. Margalit

California Institute of Technology

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A. Yariv

California Institute of Technology

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Kerry J. Vahala

California Institute of Technology

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A. Hasson

California Institute of Technology

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D. Wilt

California Institute of Technology

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J. Katz

California Institute of Technology

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J. S. Smith

California Institute of Technology

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