It's basic geometry: you have a right angle triangle, with half the FOV as one of the angles (a), and half your image size as the opposite side (A). To calculate the focal length F, use tan(a) = A/F, which gives F = A/tan(a).

Laser cavityuses

There is a calculator that will do this at https://www.scantips.com/lights/fieldofview.html (Option 6). The geometry is shown at bottom of that page, however, you must use Trig for angles.

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It is what Hermann said, focal length is NOT measured in pixels. I strongly doubt the engineering journal said focal length was pixels.

Laser cavitytypes

In the stability diagram the geometric parameters of the mirrors are the axes x and y. Figure 4.13 show the stability diagram of all laser cavities. Figure 4.13: Stability Diagram of all laser cavities. In the stability diagram, in figure 4.13, the dark region marks the area of stability. The stability region is surrounded by two hyperbolas defined by the stability criterion. A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

Cavitymodes inlaser

The triangles (large and small) are similar, that is angles are the same. So Angle of view will be the same as top angle (at the lens) of the smaller triangle. From that, since you know what sensor size and angle of view is, you can calculate focal length in pixels, as @remco calculated for you.

Laser cavityalignment

A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

In fact, units of the sensor size should be exactly the same as units of the focal length to make sense of F=A/tan(a). What you can get from that is, if you have bigger pixels (in cm), you will need larger focal length (in cm) for same field of view and number of pixels.

Optical resonator inlaserpdf

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For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

The stability criterion for laser cavity is: 0 < g1* g2 < 1 g1 = 1-L/R1       g2 = 1-L/R2 In the stability diagram the geometric parameters of the mirrors are the axes x and y. Figure 4.13 show the stability diagram of all laser cavities. Figure 4.13: Stability Diagram of all laser cavities. In the stability diagram, in figure 4.13, the dark region marks the area of stability. The stability region is surrounded by two hyperbolas defined by the stability criterion. A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

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What you need to know for field of view is the camera sensor size (or film size) measured in mm. You must compute with sensor dimensions in mm.

Laserresonator Pdf

Laser cavitylength formula

Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

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Figure 4.13 show the stability diagram of all laser cavities. Figure 4.13: Stability Diagram of all laser cavities. In the stability diagram, in figure 4.13, the dark region marks the area of stability. The stability region is surrounded by two hyperbolas defined by the stability criterion. A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

As your sensor size is given in pixels (assumed square pixels!), your focal length will also be in pixels. To get it in a more usual unit (m), you need to know the pixel size.

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The article specifies that the horizontal FOV is 47°, so we have to use A = 640/2 = 320, a = 47°/2 = 23.5°, which give F = 736 pixels.

Laser cavityfilling

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In the stability diagram, in figure 4.13, the dark region marks the area of stability. The stability region is surrounded by two hyperbolas defined by the stability criterion. A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.

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The stability region is surrounded by two hyperbolas defined by the stability criterion. A few common cavities are marked on the stability diagram. A cavity is stable if the center of curvature of one of the mirrors, or the position of the mirror itself, but not both, are between the second mirror and its center of curvature. Pay special attention for cavities on the edges of the stability region ! For these cavities, the product g1*g2 is either "0" or "1". An applet that show how the stability diagram depends on the cavity parameters can be reached by clicking here Cavity Stability. To check how the laser beam moves inside different type of cavities, and how the cavity parameters determine the divergence of the beam, Click here: Beams in Laser Cavity.