Photodetector Simulator: Responsivity, Noise & SNR Analysis

simulator intermediate ~10 min
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R = 0.54 A/W — 54 µA photocurrent at 100 µW input

At 850 nm with 80% quantum efficiency, the photodetector produces 0.54 A/W responsivity, generating 54 µA from 100 µW optical input with an SNR of ~45 dB.

Formula

R = η × q × λ / (h × c)
I_ph = R × P_optical
SNR = I_ph / √(2q(I_ph + I_dark) × BW)

From Photons to Electrons

A photodetector converts light into electrical current through the photoelectric effect in a semiconductor. When a photon with energy exceeding the bandgap is absorbed, it creates an electron-hole pair that is swept out by the junction's electric field, producing photocurrent. The efficiency of this conversion — quantum efficiency — determines how many carriers are generated per incident photon and sets the fundamental limit on responsivity.

Responsivity and Wavelength

Responsivity increases linearly with wavelength (up to the cutoff) because longer-wavelength photons carry less energy, so more photons arrive per watt of optical power — each still generating one electron-hole pair. A silicon detector at 850 nm achieves roughly 0.54 A/W with 80% quantum efficiency, while the same detector at 500 nm yields only 0.32 A/W. Beyond the bandgap cutoff wavelength, responsivity drops to zero.

Noise Sources

Three noise mechanisms compete in photodetectors: shot noise from the random arrival of photons and dark-current carriers, thermal (Johnson) noise from the load resistance, and 1/f noise at low frequencies. The noise-equivalent power (NEP) combines these into a single sensitivity figure. Cooling the detector reduces dark current exponentially, which is why infrared detectors are often cryogenically cooled.

High-Speed Detection

For fiber-optic communications operating at 10–100+ Gbps, photodetector bandwidth is critical. PIN diodes achieve tens of gigahertz by minimizing the depletion-region transit time and junction capacitance. Avalanche photodiodes (APDs) trade bandwidth for internal gain, amplifying the photocurrent before it reaches the noisy electronic amplifier, improving receiver sensitivity by 5–10 dB in telecom systems.

FAQ

What is photodetector responsivity?

Responsivity (R) measures the electrical output per unit optical input, expressed in amperes per watt (A/W). It depends on wavelength through the quantum efficiency and photon energy: R = ηqλ/(hc). Higher responsivity means more photocurrent for a given light level.

What limits photodetector bandwidth?

Three factors limit bandwidth: carrier transit time across the depletion region, RC time constant from junction capacitance and load resistance, and carrier diffusion from undepleted regions. PIN photodiodes balance these by optimizing the intrinsic layer thickness.

What is NEP and why does it matter?

Noise-equivalent power (NEP) is the optical power that produces a signal equal to the noise floor — an SNR of 1. Lower NEP means better sensitivity. It depends on dark current, responsivity, and bandwidth. Typical silicon PIN detectors achieve NEP around 10⁻¹⁴ W/√Hz.

How does wavelength affect photodetection?

Each semiconductor has a cutoff wavelength beyond which photons lack the energy to generate electron-hole pairs. Silicon cuts off at ~1100 nm, InGaAs works to ~1700 nm, and HgCdTe extends into the mid-infrared. Shorter wavelengths carry more energy per photon, so fewer photons are needed per watt.

Sources

Embed

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