Sigma LBA-700, LBA-710, LBA-714PC, LBA-300, LBA-712, LBA-708, LBA-500PC Histogram, Far-Field Method

Models: LBA-500PC LBA-708 LBA-710 LBA-700 LBA-712 LBA-714PC LBA-400 LBA-300

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f= The focal length of the imaging optic at the wavelength of the laser.

If you are not already versed in the theory behind the Focal Length method, we recommend the following reference document:

Laser Far-Field Beam-Profile Measurements by the Focal Plane Technique, by G.W. Day and C.F. Stubenrauch, NBS Technical Note 1001, March 1978. This publication is no longer in print. A copy can be obtained from the Spiricon Sales or Service department.

6.21.2The Far-Field Method

This method is based upon the actual measured increase in laser beam width as it expands in the far- field region. Before using this method, be sure that your measurements will be made in the beam’s far-field region, and the size of the beam does not grow larger than your camera’s ability to contain it. Divergence results will be computed in the X and Y aligned axes of the beam if Elliptical results are disabled, or for Major and Minor axes beam orientations if Elliptical results are enabled.

Notice: We strongly recommend that you do not use the Elliptical mode when using the Far-Fieldmethod, but rather rotate your camera to bring the axes of the laser into X and Y alignment.

Position the camera in the beam path to acquire a first, or Reference, beam width. It is assumed that this first sample will be the one nearest the beam waist, and thus the smaller sample width. Next, move the camera a distance further from the beam waist. Note the distance the camera has traveled as the Separation distance. The Divergence result is computed as follows:

W W

divergence = 2 ⋅ tan 1

C

R

2 ⋅ S

 

 

 

Where:

WR = The width of the beam at the Reference (nearer to the waist) location.

WC = The width of the beam at the Current (further from the waist) location.

S= The separation distance between the two beam width sample locations.

6.22 Histogram

The LBA-PC can produce a fluence Histogram of the currently displayed frame of data. Each bar in the display represents a fluence Bucket. Each Bucket describes a range of quantized fluence values. The minimum Bucket Size is based upon a single count of the digitized output of the A to D converter. The Bucket will be scaled if energy calibration is in use. With energy calibration in effect, the raw values are simply multiplied by a scaling factor that converts them to energy densities. For simplicity, all of the following discussions will assume no energy calibration. Thus, a raw A to D pixel intensity range of from 0 to 255/1023/4095/16383/32767 will be assumed.

Image processing can alter the numerical value of a pixel’s intensity. Ultracal, Reference Subtraction, Frame Averaging and Frame Summing are all processes that transform the simple 8/10/12/14/15 bit integer input from the A/D conversion, into a signed 16 bit fixed point value. For ease of use, we have forced all buckets to be defined in raw pixel integers. Thus a Bucket size of 4, starting at zero, will contain the intensity values from 0 to 3.992, the next bucket goes from 4 to 7.992, and so on.

Operator’s Manual

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LBA-PC

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Sigma LBA-700, LBA-710, LBA-714PC, LBA-300, LBA-712, LBA-708, LBA-500PC, LBA-400 manual Histogram, Far-Field Method