<==== Sam's Laser FAQ ====>

Safety, Info, Links, Parts, Types, Drive, Construction

π
Π

A Practical Guide to Lasers for Experimenters and Hobbyists

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         4A
   δf = ----- ΩEn
         λP

         4A
   δf = ----- ΩEcos(φ)cos(θT)
         λP

Instructions for firmware: https://sites.google.com/site/janbeck/


           m*λ
Θm = sin-1[---- - sin(Θi)]
            d

 Type                         d/r   cos-1(1-d/r)   FSR   Finesse Factor
------------------------------------------------------------------------
 Confocal                      1        π/2       c/4d        1/2
 Hemispherical confocal                           c/8d        1/4
 Spherical                     2         π        c/2d         1
 Hemispherical                                    c/4d         1
 Long radius spherical 1      1/2       π/3       c/8d        1/4
 Long radius spherical 2   1/sqrt(2)    π/4
 Planar                        0         0        c/2d         1

 Type                      d/r   cos-1(1-d/r)   FSR        Finesse
----------------------------------------------------------------------
 Confocal                   1         0        c/4d      pi/[2(1-R)]
 Hemispherical confocal    1/2       π/3       c/8d      pi/[4(1-R)]
 Spherical                  2         π        c/2d      pi/[(1-R)]
 Hemispherical              1         0        c/4d       pi/[(1-R)]
 Long radius spherical 1   1/2       π/3       c/8d      pi/[4(1-R)]
 Long radius spherical 2 1/sqrt(2)   π/4
 Planar                     0         0        c/2d        pi/(1-R)

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               (1-R1)(1-R2)
T = ----------------------------------
     [1-(R1R2)1/2]2+4(R1R2)1/2sin2(phi)

where:

• T is the power transmission (0 to 1).
• R₁ is the reflectivity of mirror 1.
• R₂ is the reflectivity of mirror 1.
• phi is the phase angle for a round trip.

So, for R₁ being the HR mirror with, say, 99.9%R and R₂ being the outer surface with around 4%R, the equation reduces to:

                       0.001 * 0.96                          0.00096
   T = ---------------------------------------------- = ------------------
        [1-(0.999*0.04)1/2]2+4(0.999*0.04)1/2sin2(phi)    0.64+0.8sin2(phi)

So, T varies by a factor of about 2.25 as the sin function goes from 1 to 0 depending on phi, which is consistent with the experimental data. "Samuel Goldwasser, an engineering consultant and author of the Sci.Electronics.Repair FAQ which has a massive amount of information relating to the repair of consumer electronics and Sam's Laser FAQ, considered the bible of lasers for experimenters and hobbyists."

WWW https://www.repairfaq.org/

For a link to Sam's Laser FAQ, suggest:

Sam's Laser FAQ - A Practical Guide to Lasers for Experimenters and Hobbyists.

For a link to the Sci.Electronics.Repair FAQ, suggest:

Sci.Electronics.Repair Main ToC - Consumer Electronic Equipment Repair and Information.