A collection of three hardware design, full-wave 3D electromagnetic simulation, and semiconductor TCAD physics projects completed at the Department of Electronics Engineering, German University in Cairo (GUC).
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Analytical Synthesis (Richards' Transformation & Kuroda's Identities): Synthesized a
$N=7$ Chebyshev prototype ($0.5\text{ dB}$ passband ripple,$f_c = 5.0\text{ GHz}$ ,$Z_0 = 50,\Omega$ ), mapped lumped elements to commensurate$\lambda_g/8$ ($\theta = 45^\circ$ ) transmission lines via Richards' transformation, and introduced Unit Elements (UEs) with Kuroda's identities to convert un-manufacturable series short-circuit stubs into planar open-circuit shunt stubs ($Z_{\text{Stub1,7}} = 178.77,\Omega$ ,$Z_{\text{UE1,6}} = 69.41,\Omega$ ,$Z_{\text{Stub2,6}} = 39.40,\Omega$ ,$Z_{\text{UE2,5}} = 136.65,\Omega$ ,$Z_{\text{Stub3,5}} = 37.98,\Omega$ ,$Z_{\text{UE3,4}} = 162.70,\Omega$ ,$Z_{\text{Stub4}} = 37.19,\Omega$ ). -
3D EM Full-Wave Optimization: Modeled the planar layout on a
$2.0\text{ mm}$ FR4 dielectric substrate in CST Microwave Studio and executed Trust Region Framework parametric optimization across 7 independent stub/UE lengths to compensate for open-end fringing capacitance ($\Delta l$ ) and 3D cross-junction parasitics (recovering the downward-shifted$3.5\text{ GHz}$ cutoff to the exact$5.0\text{ GHz}$ target with$S_{11} < -15\text{ dB}$ across$0\text{–}4.5\text{ GHz}$ and$S_{21} < -40\text{ dB}$ stopband rejection). -
Report & Figures:
5GHz_7th_Order_Microstrip_LPF_Report.pdf|figures/
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Quantum Well (QW) vs. Bulk Heterostructure Physics: Simulated a
$10\text{ nm}$ $\text{InGaP}$ ($E_g \approx 1.92\text{ eV}$ ) Quantum Well active layer sandwiched between$\text{InAlGaP}$ cladding layers using Silvaco Atlas (qwellSchrödinger-Poisson solver,gainmod=5), demonstrating a$20\times$ increase in peak local optical gain ($1160\text{ cm}^{-1}$ vs.$55\text{ cm}^{-1}$ in bulk$\text{InGaAsP}$ ) and a$100\times$ boost in pre-threshold radiative recombination rate ($2.4 \times 10^{26}\text{ cm}^{-3}\text{s}^{-1}$ ). -
Separate Confinement Heterostructure (SCH) & Buried Heterostructure (BH) Optimization: Engineered stepped waveguide refractive-index profiles to maximize the optical confinement factor
$\Gamma$ (halving the required threshold material gain$g_{\text{th}}$ from$1160\text{ cm}^{-1}$ to$580\text{ cm}^{-1}$ ) and contrasted planar stripe geometry against Buried Heterostructure (BH) lateral confinement—achieving a 40% reduction in lasing threshold current ($I_{\text{th}}$ lowered from$5\text{ mA}$ to$3\text{ mA}$ ) with single-mode spectral narrowing ($10^5\times$ photon density surge at resonance). -
Quantum Tunneling Transfer Matrix Method (
quantum_well_tmm_transmission.m): MATLAB implementation of the Transfer Matrix Method (TMM) solving the 1D time-independent Schrödinger equation across spatially varying heterostructure potentials ($0.01\text{–}3.0\text{ eV}$ ). -
Report & Scripts:
InGaP_QW_SCH_BH_Laser_Diode_TCAD_Report.pdf|quantum_well_tmm_transmission.m|figures/
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4-Stage Cascaded Architecture: Designed, simulated, and physically constructed a single-supply (
$12\text{ V}$ ) discrete BJT audio amplifier driving an$8,\Omega$ low-impedance speaker load:-
Common-Emitter Voltage Gain Stage (
2N3904): Biased at$I_{C1} = 2.225\text{ mA}$ ,$V_{CE} = 5.97\text{ V}$ with partial emitter bypass for$-20.26\text{ V/V}$ unloaded mid-band gain. -
Common-Collector Emitter-Follower Buffer (
2N3904): High-current buffer ($I_{C2} = 28.0\text{ mA}$ ,$R_{\text{out}} = 15.4,\Omega$ ) isolating the high-impedance CE collector. -
Adjustable
$V_{BE}$ Multiplier Biasing Network: Maintains a constant$1.86\text{ V}$ potential drop across the complimentary power bases ($I_Q = 33.1\text{ mA}$ ), completely eliminating zero-crossing crossover distortion. -
Complementary Push-Pull Class-AB Output Stage (
TIP35CNPN /TIP36CPNP): Centers the quiescent output node at exactly$6.00\text{ V}$ ($V_{CC}/2$ ) and transforms the driving impedance down to$< 1,\Omega$ .
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Common-Emitter Voltage Gain Stage (
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Theory, SPICE & Hardware Correlation: Matched theoretical small-signal hybrid-$\pi$ derivations, KiCad/Proteus SPICE transient simulations, and physical oscilloscope measurements at
$-17.0\text{ V/V}$ loaded voltage gain across the$8,\Omega$ loudspeaker. -
Report & Figures:
ClassAB_BJT_Audio_Amplifier_Report.pdf|2N3904-APCT-ND.lib|figures/