Q: Does the photoelectric simulation confirm Einstein’s work function stopping potential equations?

Yes. By varying incident photon frequency $\nu$ and emitter work function $\Phi$, the simulation displays retarding potential curves and verifies $q V_{stop} = h\nu - \Phi$, illustrating photon quantization and threshold frequency $\nu_0 = \Phi/h$ with zero time-lag electron emission.

Question 1

How does the quantum tunneling simulator calculate transmission coefficients through arbitrary potential barriers?

Accepted Answer

The quantum simulator utilizes the 1D Transfer Matrix Method (TMM). By dividing arbitrary potential profiles $V(x)$ into piecewise-constant spatial slices and matching boundary conditions of wavefunction $\psi(x)$ and derivative $\frac{d\psi}{dx}$ at every interface, the exact complex transmission coefficient $T(E)$ and reflection coefficient $R(E)$ are determined without relying on crude approximations.

Question 2

What material parameters are contrasted between Silicon, Silicon Carbide (4H-SiC), and Gallium Nitride (GaN)?

Accepted Answer

Our semiconductor solvers compare energy bandgap ($E_g: 1.12	ext{ eV}$ for Si vs $3.26	ext{ eV}$ for SiC), critical electric breakdown field ($E_{crit}: 0.3	ext{ MV/cm}$ vs $3.0	ext{ MV/cm}$), thermal conductivity ($k: 1.5	ext{ W/cm}\cdot	ext{K}$ vs $4.9	ext{ W/cm}\cdot	ext{K}$), and electron saturation drift velocities.

Question 3

How is the depletion region width and electric field profile calculated across biased semiconductor junctions?

Accepted Answer

The simulator solves the 1D Poisson equation $\frac{d^2\phi}{dx^2} = -\frac{\rho(x)}{\varepsilon_s}$ under depletion approximation and full Fermi-Dirac carrier statistics. It dynamically outputs space charge density, peak electric field $E_{max} = \sqrt{\frac{2q}{\varepsilon_s}(V_{bi} - V_a)\frac{N_A N_D}{N_A + N_D}}$, and junction capacitance $C_j(V)$.

Question 4

How is junction temperature $T_j(t)$ modeled during fast transient switching pulses?

Accepted Answer

Transient heat conduction through silicon chip, solder attach, copper baseplate, and heatsink is modeled using both 4-stage Foster and Cauer RC thermal ladder networks. Convolution of switching energy losses ($E_{on} + E_{off}$) with transient thermal impedance $Z_{th(j-c)}(t)$ yields instantaneous junction thermal rise.

Question 5

Does the photoelectric simulation confirm Einstein’s work function stopping potential equations?

Accepted Answer

Yes. By varying incident photon frequency $
u$ and emitter work function $\Phi$, the simulation displays retarding potential curves and verifies $q V_{stop} = h
u - \Phi$, illustrating photon quantization and threshold frequency $
u_0 = \Phi/h$ with zero time-lag electron emission.

Quantum & Semiconductor Physics Simulators Hub & Curricular Syllabus (PH-500)

Department Syllabus Overview & Curricular Subfields

Referenced International Consensus Standards (12)

Interactive Engineering Simulators (6 Active Workbenches)

P-N Junction Diode Band Bending & Carrier Transport →

Silicon Carbide (SiC) MOSFET Double-Pulse Switching & Slew Rates →

IGBT Module Multi-Layer Thermal Foster Network & SOA →

MOSFET Inversion Channel, Band Bending & 2D Electron Gas →

Photoelectric Effect & Einstein Quantum Work Function →

Quantum Barrier Tunneling & Resonant Diode (RTD) NDR →