User Tools
nnp:optics:optical_gain
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
nnp:optics:optical_gain [2017/02/03 10:48] stefan.birner [Physics model] |
nnp:optics:optical_gain [2017/02/20 21:21] (current) stefan.birner |
||
|---|---|---|---|
| Line 13: | Line 13: | ||
| In order to evaluate the sum much faster we calculate the $H_{ba}$ matrix element at $k_a = 0; k_b = 0$ (Remark: $k_a = k_b$), and we neglect the $k$ dependence of it. | In order to evaluate the sum much faster we calculate the $H_{ba}$ matrix element at $k_a = 0; k_b = 0$ (Remark: $k_a = k_b$), and we neglect the $k$ dependence of it. | ||
| - | Then we can simplify the sum in the following form, if the irradiation has the $\gamma(E, w)$ broadening function, where $E$ is the irradiation energy, and $w$ is the line width. | + | Then we can simplify the sum as follows, |
| \[ | \[ | ||
| - | R(E, w) = C_0(E) \int dE_a dE_b \gamma(E_a-E, w) \cdot H(E_a-E) \cdot [n(E_a) - p(E_b)] | + | R(E, w) = C_0(E) \int \gamma(E_a-E, w) \cdot H(E_a-E) \cdot [n(E_a) - p(E_b)] {\rm d}E_a {\rm d}E_b, |
| \] | \] | ||
| + | where $E$ is the irradiation energy, $w$ is the line width and we assume that the irradiation has the $\gamma(E, w)$ broadening function. | ||
| - | Here $C_0(E)$ is an energy dependent constant: | + | Here $C_0(E)$ is an energy dependent constant, |
| \[ | \[ | ||
| - | C_0 = \frac{\pi e^2 \hbar}{n_r c \epsilon_0 m_0^2 E} | + | C_0 = \frac{\pi e^2 \hbar}{n_{\rm r} c \epsilon_0 m_0^2 E}. |
| \] | \] | ||
| ====Input file structure==== | ====Input file structure==== | ||
| - | A new keyword has been introduced to handle an optical device, //opticaldevice{}// | + | A new keyword has been introduced to handle an optical device, ''opticaldevice{}''. |
| <code> | <code> | ||
| opticaldevice{ | opticaldevice{ | ||
| name = "quantum_region_name" | name = "quantum_region_name" | ||
| - | line_broadening = 1 #Line broadening model (1: Lorentzian) | + | line_broadening = 1 # Line broadening model (1: Lorentzian) |
| - | photon_energy = 1 #Photon energy in (eV) | + | photon_energy = 1.0 # Photon energy in (eV) |
| - | line_width = 1 #Line width in (eV) | + | line_width = 1.0 # Line width in (eV) |
| } | } | ||
| </code> | </code> | ||
| - | An in the run paragraph you have to also add //solve_optical_device{}// in order to include it the simulation flow. | + | The ''run'' keyword requires ''solve_optical_device{}'' to be included. |
| ==== Results ==== | ==== Results ==== | ||
| <figure> | <figure> | ||
| ;#; | ;#; | ||
| - | <dataplot xlabel="x(nm)" ylabel="1/s/m^3" ylegends="Gain"> | + | <dataplot xlabel="Position (nm)" ylabel="Gain (1/s/m^3)" ylegends="Gain" title="Optical gain"> |
| -90 0 | -90 0 | ||
| -85 0 | -85 0 | ||
nnp/optics/optical_gain.1486118888.txt.gz · Last modified: 2017/02/03 10:48 by stefan.birner
