User:Pranav Rathi/Notebook/OT/2012/11/13/Optical Tweezers Calibration

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To perform accurate measurements with optical tweezers, it is necessary to calibrate some experimental parameters and even before that study the active components of the optical tweezers setup. The parameters I want to calibrate: Stiffness; which measures the force that is exerts on the trapped bead, and Sensitivity; which measures the relative position of bead within the trap. The components I want to characterize: Laser, AOM (acoustooptic module), microscope objective, z and x piezo, lens and mirrors, QPD (quadrant photo diode), and electronic filters. It is necessary to characterize these components first because not only they affect the experimental parameters but also reduce the chances to see something unexpected in data later on.

Characterization

I characterized most of the active components time to time in the setup. The characterization also helped me in designing this tweezers.

Laser

I use two lasers: 1064nm 2W ND:YAG crystalaser for tweezing and 633nm 2mW He-Ne for surface detection and alignment purposes. It is important to know some details about the source. IR-laser is more important because it is tweezing laser. I did not do a rigorous study (because it was not necessary), just specified few parameters like power output, beam waist and its location, polarization, beam mode profile and beam propagation factor. I used this information to design the tweezers expansion optics. The laser specifications are given in the following link:

User:Pranav_Rathi/Notebook/OT/2010/08/18/CrystaLaser_specifications

AOM

Acoustooptic modulator is used to modulate the laser intensity in the trap. So it is second most important component of the tweezers. AOM has two components: AOM driver and AOM module, I characterized both. The specifications are given in the link:

• AOM driver

User:Pranav_Rathi/Notebook/OT/2010/01/29/Characterization_of_AOM_driver

• AOM module

User:Pranav_Rathi/Notebook/OT/2010/05/12/Characterization_of_AOM_module

I use 1st order diffraction beam from AOM to feed the tweezers. NI-DAQ controlled by feedback96_main_mx labview v7.1 program controls the AOM through analog input voltage to AOM driver. So there is a relationship between the analog input voltage and output laser power in 1st order diffraction beam. Unfortunately this relationship is not linear; it is some odd function (characteristic curve; see the second link). Once I know the curve I can calculate the laser power in the trap at particular input voltage. This information is very useful while calculating the stiffness from the cutoff frequency.

It is absolutely unpractical to measure the laser power in the trap before every power-spectrum data is acquired to calculate the stiffness (for stiffness I need cutoff frequency from power-spectrum and laser power in the trap at which the spectrum is acquired). So, it is done in advance: I record the laser power after the water-immersion objective for RF-input voltage of 1.3 to 4.9 in .2 volts increments. I put a water droplet on the objective and record the power with a power meter directly. I used Thorlabs sensor: model D10MM (S212A 10W) S/N 0938D08 and detector: PM100 S/N M00229006. Reflection loss at water-air interface is still less than 2%.

AOM RF_input voltage Vs laser power after objective

The Pictures shows the data and characteristic curve for AOM RF-input voltage Vs laser power after the water immersion objective. The curve looks exactly the same as AOM characteristic curve. The data is presented below; I measured the laser power for 10 times each. I use the curve and data in OT calibration program written in labview V9 to calculate the laser power in the trap from RF-input voltage. Laser power and cutoff frequency gives me the stiffness. To know cutoff frequency, I usually do power-spectrum at 1.45 volts; at this voltage power measurement error is 8%. That means calculated stiffness accuracy will not be better than 92%. I will discuss the final number later when i discuss the cutoff frequency and power-spectrum.

AOM RF-input voltage Vs laser power after the objective:

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Note: the data is good until no change is made to the optical path/components downstream from the objective that may change the laser power at the objective.

Microscope objective

Objective is another very important part of the tweezers. I am using Olympus UPLANSAPO (UIS 2) water immersion IR objective. The objective gives a maximum spot size of 760nm with a Rayleigh range of 567nm. The objective has 55% transmittance (55% of the input laser power makes through) and it has a collar for cover glass correction (spherical aberration gets worse with the depth in the sample, but i do not have to worry about it while doing power spectrum or DOG). The full details of the objective are available here:

User:Pranav_Rathi/Notebook/OT/2010/12/10/Olympus_Water_Immersion_Specs

X & Z-piezo

We use "Mad city lab" nano position systems; Nano-OP30 for x-piezo and Nano-F25HS for z-piezo. None of the stages required any calibration. Characterization shows that x-piezo sensor output ground from drive has noise of 60Hz and its multiples, but very low.

Lens and mirrors

All the optics is rated for 1064nm. Some power measurements are as follow:

• Laser power before the AOM: 1.8W
• Laser power after the AOM: 1.7W, 6% transmission loss
• Power in 1st order diffraction beam: 1.238W, 27% transfer loss
• Laser power before the 1st lens of steering assembly: 1.18W, 5% transmission loss through expansion optics and mirrors
• Maximum laser power achievable in the trap: 610mW, 48% transmission loss through lens, dichroic mirror and objective.

QPD

Infrared-sensitive quadrant photo diode is used as a detector in optical tweezers. Bead position relative to trap center in x-direction is measured by the deflection of the laser beam. This deflection is imaged at the detector-plane by condenser and imaging lens in front of the QPD-detector. I use Hamamatsu S5981 QPD with analog amplifier On Track OT 301. Amplifier measures the current from the four quadrants of the diode and produces normalized position signals and sum signal in voltage.

This voltage signal goes through low-pass 8-pole Bessel filters cutoff at 1.5 kHz by Krohn-Hite. The signal is sampled at 13-20 kHz rate by data acquisition box BNC-2111 through PCI-card PCI-6052E by national Instruments.

Calibration data: power-spectrum and detector sensitivity is produced in X, Y and sum voltages by QPD at some laser power. On track amplifier can introduce a gain from 1 to 6 to this signal before it is sampled. So there is a need of characterization of QPD for laser power in the trap Vs voltage signal for various laser powers at different gains. This will help me choosing the right laser power in the trap (at right AOM RF-input voltage) and gain for power-spectrum.

My goal is to get a data set for Laser power in the trap (mW) Vs QPD sum signal (mV) at 1x and 2x gain (3x and above saturates the DAQ; maximum detection voltage is 10V). I will do this for two situations:

• Laser power in trap Vs QPD sum signal without trapped bead.
• Laser power in trap Vs QPD sum signal with trapped bead.