Mach-Zehnder Modulator

High-Speed Electro-Optic Modulator Design & Simulation

Interactive design and simulation of silicon Mach-Zehnder modulators for high-speed optical communication. Optimize phase shifter design, analyze Vπ characteristics, and evaluate linearity performance for 25-50 Gbps operation.

Interactive Design Parameters

Adjust key design parameters to optimize modulator performance for your specific application requirements.

1000 μm
0.8 μm
0.22 μm
5.0×10¹⁷ cm⁻³
2.5 V
1550 nm
3.2
Vπ (V)
25.3
Extinction Ratio (dB)
2.1
Insertion Loss (dB)
35.2
3-dB Bandwidth (GHz)

Design Features

Low Vπ Design

Optimized phase shifter geometry and doping profile for minimal drive voltage requirements, enabling low-power operation and improved linearity.

High Linearity

Careful design of the phase shifter to minimize harmonic distortion and maintain excellent linearity across the full operating range.

High-Speed Operation

Optimized for 25-50 Gbps operation with excellent frequency response and minimal group delay variation.

CMOS Compatible

Designed for standard CMOS fabrication processes with excellent yield and reliability for high-volume production.

Mathematical Model

The Mach-Zehnder modulator performance is governed by the following key equations:

Phase Shift Calculation

The phase shift in the modulator arms is given by:

$$\Delta\phi = \frac{2\pi}{\lambda} \Delta n_{eff} L$$

Where Δneff is the effective index change due to the applied voltage.

Vπ Calculation

The half-wave voltage is calculated as:

$$V_\pi = \frac{\lambda}{2n_{eff}^3 r_{eff} L}$$

Where reff is the effective electro-optic coefficient and L is the phase shifter length.

Extinction Ratio

The extinction ratio is given by:

$$ER = 10\log_{10}\left(\frac{P_{max}}{P_{min}}\right)$$