The ABCD matrix of a SELFOC graded-index slab with quadratic refractive index 10(1–(a²y²)/2) and length d is A = cosad, B = (1/a)sinad, C = -asinad, D = cosad xial rays along the z direction. A Gaussian beam of wavelength Ao, waist radius Wo space, and axis in the z direction enters the slab at its waist. Use the ABCD law to ne an expression for the beam width in the y direction as a function of d. ussian beam no n(y)
The ABCD matrix of a SELFOC graded-index slab with quadratic refractive index 10(1–(a²y²)/2) and length d is A = cosad, B = (1/a)sinad, C = -asinad, D = cosad xial rays along the z direction. A Gaussian beam of wavelength Ao, waist radius Wo space, and axis in the z direction enters the slab at its waist. Use the ABCD law to ne an expression for the beam width in the y direction as a function of d. ussian beam no n(y)
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Transcribed Image Text:` The ABCD matrix of a SELFOC graded-index slab with quadratic refractive index
n(y) = no(1–(a²y²)/2) and length d is A = cosad, B = (1/a)sinad, C = -asinad, D = cosad
for paraxial rays along the z direction. A Gaussian beam of wavelength ho, waist radius Wo
in free space, and axis in the z direction enters the slab at its waist. Use the ABCD law to
determine an expression for the beam width in the y direction as a function of d.
Incident Gaussian beam
no
n(y)
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