digital-brain/content/zettels/transimpedance_amplifiers.md

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+++ title = "Transimpedance Amplifiers" author = ["Dehaeze Thomas"] draft = false category = "equipment" +++

Tags
[Electronics]({{< relref "electronics.md" >}})

Description

A transimpedance amplifier is a "current to voltage converter" and is also named a current controlled voltage source.

It is generally used to interface a sensor which outputs a current proportional to the measurement parameter ([Quadrant Photodiodes]({{< relref "quadrant_photodiodes.md" >}}) for instance).

Basic Circuit

A basic transimpedance amplifier circuit is shown in Figure 1.

It produces an output voltage \(V_{\text{out}}\) proportional to the input current \(I_{\text{sig}}\):

\begin{equation} \boxed{V_{\text{out}} = -I_{\text{sig}} R_f} \end{equation}

The gain of the amplifier is simply \(-R_f\) in [V/A].

The feedback resistor creates a Johnson noise that corresponds to a current noise:

\begin{equation} i_{n} = \sqrt{4kT/R_f} \quad [A/\sqrt{Hz}] \end{equation}

This is usually larger than the amplifier input current noise.

{{< figure src="/ox-hugo/transimpedance_amplifier_schematic.png" caption="<span class="figure-number">Figure 1: Transimpedance Amplifier; Current in, Voltage out" >}}

More information about transimpedance can be found in [The art of electronics - third edition]({{< relref "horowitz15_art_of_elect_third_edition.md" >}}), chapter 8.11.4, especially on the trade-off between gain, noise and bandwidth.

See this open hardware design.

Manufacturers

Manufacturers Country
Kistler Swiss
MMF Germany
Femto Germany
FMB Oxford UK
Thorlabs UK
Koheron France
SRS
Basel Precision Instruments Swiss

Bibliography