A stochastic noise model based excess noise factor expressions for staircase avalanche photodiodes

Fuente: arXiv
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Main Author: Bangera, Ankitha E
Format: Preprint
Published: 2025
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author Bangera, Ankitha E
author_facet Bangera, Ankitha E
contents Multistep staircase avalanche photodiodes (APDs) are the solid-state analogue of photomultiplier tubes, owing to their deterministic amplification with twofold stepwise gain via impact ionization. Yet, the stepwise impact ionization irregularities worsen with increasing step counts, which are a major source of internal noise in these APDs. Some noise models for staircase APDs have been previously reported, where the excess noise factor expressions are based on Friis' noise factor formula for cascade networks, erroneously considering the power gains as the gains. Excess noise factor being a key component in staircase APDs' noise models, we formulate generalized excess noise factor expressions for multilayer graded-bandgap APDs in terms of their layer-wise ionization probabilities, applicable for all operating biases, which include the sub-threshold, staircase, and tunnelling breakdown regimes. We further derive simplified expressions for staircase APDs and prove that these expressions match Bangera's corrections to Friis' noise factor formulas for cascade networks.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14722
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A stochastic noise model based excess noise factor expressions for staircase avalanche photodiodes
Bangera, Ankitha E
Signal Processing
Information Theory
Probability
Applied Physics
Computational Physics
Multistep staircase avalanche photodiodes (APDs) are the solid-state analogue of photomultiplier tubes, owing to their deterministic amplification with twofold stepwise gain via impact ionization. Yet, the stepwise impact ionization irregularities worsen with increasing step counts, which are a major source of internal noise in these APDs. Some noise models for staircase APDs have been previously reported, where the excess noise factor expressions are based on Friis' noise factor formula for cascade networks, erroneously considering the power gains as the gains. Excess noise factor being a key component in staircase APDs' noise models, we formulate generalized excess noise factor expressions for multilayer graded-bandgap APDs in terms of their layer-wise ionization probabilities, applicable for all operating biases, which include the sub-threshold, staircase, and tunnelling breakdown regimes. We further derive simplified expressions for staircase APDs and prove that these expressions match Bangera's corrections to Friis' noise factor formulas for cascade networks.
title A stochastic noise model based excess noise factor expressions for staircase avalanche photodiodes
topic Signal Processing
Information Theory
Probability
Applied Physics
Computational Physics
url https://arxiv.org/abs/2506.14722