
Harold Simulations
Obtaining the characteristics of the device vs. current.
Harold Simulations
A HAROLD device simulation consists of solving the governing equations of the model at a set of bias currents, so as to obtain the characteristics of the device vs. current.
HAROLD has a number of simulation modes to choose from:
- Running mode
- 1D: Solves self-consistently the various differential equations of the model in the vertical (y) direction only, assuming uniformity on the longitudinal (z) direction.
- 2D (XY, option): as above but models variations of electrical and optical fields in both transverse directions.
- 2D (YZ): Solves self-consistently same equations as in 1D mode but also considers longitudinal effects such as surface recombination and optical absorption at facets, and the non-uniformity of the optical field.
- PICWave Model: a variation of the 1D isothermal model, this mode is used for producing material gain models which can be exported to PICWave.
- Execution mode
- Isothermal: Simulates the device under “pulsed” operation i.e. ignores heating such that the temperature is fixed at a constant value throughout the whole structure.
- Self-heating: Simulates the device under “CW” operation i.e. accounts for device heating model the heatflow within the device
- Test: A quick diagnostic mode which simulates the device at zero bias - it allows you examine basic results so you check that your layer structure has been set up as intended.
Simulation Results
Due to its detailed physical model, HAROLD can obtain a wide range of simulation results, including:
- 1D/2D Results (i.e. vertical/vertical-longitudinal profiles):
- Electrostatic potential, electric field
- Electron and hole Fermi energies
- Conduction and valence band edges
- Electron and hole densities (in bulk and QWs)
- Electron and hole current densities
- Recombination rates: SRH, Auger, spontaneous emission, stimulated
- Heat flow and temperature profiles, profiles of different heat sources (Joule effect, non-radiative recombination, free-carrier absorption)

- Per-bias Results (i.e. vs. bias current/voltage/current density):
- Optical powers for left and right-hand facets (optical output power, scattered and absorbed power)
- Dissipated power due to Joule heating, non-radiative recombination, free carrier absorption
- External slope efficiency for both facets (dP/dI)
- Electron and hole densities (in bulk and QWs)
- Active region temperature
- Quantum efficiency
- Lasing wavelength
- Modal and material gain
- Effective mode index change
- Free carrier loss
- Recombination rates (in bulk and QWs): SRH, Auger, spontaneous emission, stimulated

- Spectra:
- Gain
- Spontaneous emission
- Refractive index

- Quantum well results:
- Electron, light-hole, heavy-hole potentials
- QQW wavefunctions and energy eigenvalues for electron, light-hole and heavy-hole sub-bands
