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B.W. Hakki

AT&T (United States)

Publishes on Semiconductor Quantum Structures and Devices, Semiconductor Lasers and Optical Devices, Photonic and Optical Devices. 64 papers and 5.7k citations.

64Publications
5.7kTotal Citations

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Top publicationsby citations

A Dielectric Resonator Method of Measuring Inductive Capacities in the Millimeter Range
B.W. Hakki, Paul D. Coleman|IEEE Transactions on Microwave Theory and Techniques|1960
Cited by 3.1k

A novel technique for the measurement of dielectric and magnetic properties of a homogeneous isotropic medium in the range of approximately 3 to 100 kmc is described. An accuracy of /l.chemc/ 1 per cent is possible in the determination of permittivity or permeability in those cases where the loss tangent is sulliciently small. The measuring structure is a resonator made up of a right circular cyndrical dielectric rod placed between two parallel conducting plates. For measurement of permittivity two or more resonant TE/sub onl/ mode frequencies are determined whereas for the measurement of permeability two or more resonant TM/sub onl/ mode frequencies are determined. The dielectric or magnetic properties are computed from the resonance frequencies, structure dimensions, and unloaded Q. Since the loss tangent is inversely proportional to the unloaded Q of the structure, the precision to which Q is measured determines the accuracy of the loss tangent.

Gain spectra in GaAs double−heterostructure injection lasers
B.W. Hakki, T. L. Paoli|Journal of Applied Physics|1975
Cited by 807

Gain spectra for GaAs double−heterostructure junction lasers have been obtained with high resolution. This is accomplished by using an automated data aquisition system to analyze the Fabry−Perot resonance modulation in the spontaneous emission spectra. For active regions doped with Ge at a level of 4×1017 cm−3, the gain in the TE polarization at a fixed wavelength increases linearly with current, below lasing threshold. However, the peak gain (at a variable wavelength) increases slightly faster than linearly with current. The photon energy at which gain is a maximum increases logarithmically with current. Gain in the TM polarization depicts the same general behavior as that for the TE case, except that it is slightly less than the TE gain. It is concluded that for this particular doping the spectral gain characteristics are intermediate between those for undoped and heavily doped active regions. Above the threshold for lasing in the TE mode the TE gain spectra are well saturated, with new fine details revealed in the saturated spectra. On the other hand, gain in the nonlasing TM polarization is not well saturated above threshold, with marked differences in gain between high and low photon energies relative to the TE lasing energy.

cw degradation at 300°K of GaAs double-heterostructure junction lasers. II. Electronic gain
B.W. Hakki, T. L. Paoli|Journal of Applied Physics|1973
Cited by 301

The rapid degradation at 300°K in the cw regenerative output of stripe-geometry GaAs double-heterostructure junction lasers is shown to be a result of the formation of a local optical absorber in the laser cavity. Gain measurements performed on diodes before and after degradation show that the optical loss within the cavity increases during degradation. By observing the (predominantly) spontaneous emission from the active region directly through the n-GaAs substrate, it is confirmed that the increased loss is localized in a region where little or no spontaneous emission takes place at lasing energies. In such diodes, the internal radiative efficiency of the undegraded portion of the optical cavity shows a relatively small decrease compared to the external differential quantum efficiency. When the local absorber extends over a sufficient length of the cavity the electronic gain in the undegraded section is insufficient to overcome the loss and the device ceases to act as a regenerative optical oscillator. Net gain measurements on DH laser devices in which the active region is lightly (≈ 1017) n-doped indicate that the optical gain increases linearly with current prior to degradation. At lasing threshold the medium exhibits net gain over a wavelength range of 100 Å. After degradation the gain dependence on current can become superlinear due to the saturation of the optical absorber. Estimates on the attenuation constant in the local absorber at low currents give a value of ≈ 60 cm−1 at 8800 Å. For pulsed currents close to lasing threshold the attenuation constant increases to nearly 160 cm−1 at 8760 Å.

Carrier and gain spatial profiles in GaAs stripe geometry lasers
B.W. Hakki|Journal of Applied Physics|1973
Cited by 113

The spontaneous emission generated in the active region of stripe geometry GaAs double-heterostructure (DH) laser diodes is observed through the n-GaAs substrate. The spatial variation of the spontaneous intensity along the junction plane is measured in a direction normal to the stripe axis at current levels below and above lasing threshold. It is observed that the carrier concentration profile is consistent with a model in which carriers out diffuse along the junction plane away from the active region. No evidence has been found of a local depletion of carrier concentration due to regenerative optical oscillations. Analytical expressions for the concentration profiles are obtained from a diffusion model. A comparison of the analytical expressions with experiment yields the carrier diffusion lengths inside and outside of the active region. The computed profiles are in excellent agreement with measurement. From the computed carrier concentration profiles and measurements of mode gain dependence on current it is possible to obtain the spatial variation of local gain in the active region. Coupling of the fundamental optical mode to this nonuniform gain distribution reduces the electronic gain. The lasing threshold of the fundamental mode in the stripe geometry laser is shown analytically to increase as the stripe width is decreased relative to a carrier diffusion length. Finally, the gain dependence on current density has been evaluated and shown to be in agreement with analytical results based on band-to-band recombination in lightly doped active regions.