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Photodetectors

Calculators for photodetector performance metrics.

54 calculators

1/f Flicker Noise

Flicker noise: S_I(f) = K_f · I^α / f. Noise spectral density falls as 1/f.

Afterpulsing in APDs

Afterpulse probability, trap dynamics, and dead time trade-offs in avalanche photodiodes.

Amplifier Noise

Input-referred noise sets the detection floor. σ_amp = e_n.

Anti-Blooming Design

Anti-blooming shunts excess charge to drain when well exceeds threshold. Trade-off: charge dump efficiency vs full well capacity and linearity.

Avalanche Photodiode Gain

APD multiplication gain, excess noise factor (McIntyre), and material comparison.

Back-Illuminated vs Front-Illuminated

Back-illuminated sensors bypass gate structures for higher QE and better blue/UV response: QE ratio and SNR gain in the shot- and read-noise limits.

Bandwidth vs Noise Trade-off

Photodiode on a load resistor: noise grows as √Δf until the R_L·C_j roll-off, then levels off at √(kT/C).

Boxcar Integrator

Gated signal averaging of a repetitive pulse: gate-averaged signal, gate noise e_n·√NEB, SNR after N averages and the optimum gate width.

CCD vs CMOS Sensor Comparison

Compare CCD, sCMOS, phone CMOS and EMCCD pixels: SNR from photons × QE, saturation and dynamic range.

Channel Photomultiplier (CPM)

Single-channel CPM: anode sensitivity, photon-counting and analog SNR, and pulse resolution with the channel's excess noise.

Cooling Benefit Calculator

Dark current reduction and SNR improvement from thermoelectric (TEC) or cryogenic cooling.

Cosmic Ray Detection

Cosmic-ray muon hits on a silicon image sensor: hits per frame, path through the sensitive layer, mean and most probable charge per track, and pixels hit.

Dark Current vs Temperature

Silicon detector dark current — exponential doubling model. I_dark(T) = I₀ · 2^((T−T₀)/T_d).

Dark Noise vs Temperature

Temperature dependence of photodiode dark current and its shot noise.

Detectivity (D*)

Specific detectivity from NEP, area, and bandwidth. D* = √(A·Δf) / NEP

Detector Responsivity

Detector responsivity from quantum efficiency and wavelength with wavelength sweep.

Detector Saturation

Full well capacity, dynamic range with ADC quantization noise, SNR at saturation, and a nonlinearity roll-off.

EMCCD Gain Calculator

EMCCD gain: Robbins–Hadwen excess noise of an N-stage register, effective read noise and SNR with and without EM gain.

EMCCD vs sCMOS

Compare electron-multiplying CCD with sCMOS for low-light imaging.

Excess Noise Factor

APD excess noise vs gain — McIntyre model for different semiconductor materials.

Gain vs Temperature

APD gain drift at fixed bias from the breakdown-voltage temperature coefficient, and PMT gain drift.

Gain-Bandwidth Product

GBW = A₀ · f₋₃dB. The product of DC gain and bandwidth is constant for a single-pole system.

Geiger-Mode APD

SPAD: breakdown voltage, overbias, temperature effects, PDE, and dark count rate.

InGaAs Detector Parameters

InₓGa₁₋ₓAs band gap, cutoff wavelength, QE, responsivity, generation dark current, NEP and D* for SWIR p-i-n photodiodes.

Intensified CCD (ICCD)

Photocathode → MCP → phosphor → CCD gain chain with gating and noise analysis.

Johnson (Thermal) Noise

Thermal noise voltage, current, and power across a resistor.

Junction Capacitance

Photodiode junction capacitance vs reverse bias, doping profile, and RC bandwidth impact.

kTC Reset Noise

kTC reset noise voltage, noise charge, and conversion gain for image sensors.

Linear-Mode Avalanche Photodiode

SNR of a linear-mode APD receiver versus gain: McIntyre excess noise, shot and thermal noise, and the optimum gain for a given load resistance.

Lock-in Amplifier

Lock-in amplifier: demodulation gain, ENBW, noise rejection, and SNR improvement.

Microchannel Plate

MCP gain, spatial resolution, and effective QE for photon detectors.

Modulation Transfer Function (MTF)

Image sensor MTF: pixel aperture, charge spread, and optical blur contributions.

Noise Equivalent Power (NEP) & Detectivity (D*)

Calculate NEP and specific detectivity D* from detector noise sources: shot noise, thermal (Johnson) noise, and dark current.

Photodiode Speed & Bandwidth

RC, transit-time and diffusion-tail bandwidth, junction capacitance and thermal NEP vs photodiode area.

Photodiode TIA Noise

Photodiode + transimpedance amplifier: Butterworth bandwidth, input-referred noise including the e_n·C term, and NEP.

Photomultiplier Tube (PMT)

PMT gain, signal current, excess noise factor, and SNR from dynode parameters.

Photon Counting Statistics

Poisson statistics, SNR, dead time corrections, and count distributions.

Photon Transfer Curve (PTC)

Photon transfer curve: read, shot and PRNU noise regimes vs signal, their crossovers, conversion gain and dynamic range.

Photoresponse Non-Uniformity

PRNU, DSNU, and spatial uniformity analysis for image sensors.

Pixel Crosstalk & MTF

Charge diffusion and electrical crosstalk in a silicon image sensor: absorption depth, charge reaching the neighbouring pixels vs wavelength, and MTF at Nyquist.

Quantum Efficiency

Silicon and InGaAs detector quantum efficiency vs wavelength from absorption data: collecting thickness, diffusion length, dead layer, surface reflection, fill factor and microlens gain.

Readout Noise

Readout noise, dark current, shot noise, and SNR analysis for image sensors.

Shot Noise

Shot noise current, SNR, and noise vs signal analysis for photodetectors.

Si vs InGaAs Detectors

Compare silicon and InGaAs p-i-n photodiodes: QE spectra from absorption data, responsivity, generation dark current and SNR vs wavelength.

Silicon Photodiode

Si photodiode parameters: bandgap, QE, responsivity, dark current, and spectral response.

Single-Photon Counting Module

SPCM dead time correction, SNR, dark count effects, and afterpulsing analysis.

SNDR Calculator

SINAD (SNDR), SNR, THD, signal-to-distortion ratio and ENOB, with the ideal quantisation SNR of an N-bit ADC.

SPAD Dead Time

Non-paralyzable and paralyzable dead time models for SPAD detectors.

SPAD Detector Calculator

Single-photon avalanche diode — PDE, DCR, dead time, afterpulsing, and SNR analysis.

Spectral Response

Silicon photodiode responsivity and quantum efficiency vs wavelength, plus a check of a datasheet responsivity against the η = 1 limit.

Streak Camera

Temporal resolution and time window of a streak camera from sweep speed, slit image, pixel size, tube limit and trigger jitter.

Temporal Noise

1/f noise, white noise, and read noise as functions of frequency and integration time.

Vacuum Photodiode

Photoemission, responsivity, dark current, and frequency response for vacuum photodiodes.

Well Capacity & Dynamic Range

Well capacity, dynamic range, pixel capacitance, and usable bit depth for image sensors.