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Pulsed lasers have many applications, but are very complicated to construct. One problem is chromatic aberration, another is aligning the components. Commonly available laser systems can produce 1 fs (10-¹4 s) pulses. a) how far does light travel in 1 fs? b) If the energy per pulse is 100 mJ, what's the power per pulse (in Watts)? c) calculate the (minimum) spread of frequencies required to produce a 1 fs pulse.

Pulsed lasers have many applications, but are very complicated to construct. One problem is chromatic aberration, another is aligning the components. Commonly available laser systems can produce 1 fs (10-¹4 s) pulses. a) how far does light travel in 1 fs? b) If the energy per pulse is 100 mJ, what's the power per pulse (in Watts)? c) calculate the (minimum) spread of frequencies required to produce a 1 fs pulse.

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Pulsed lasers have many applications, but are very complicated to construct. One problem is chromatic aberration, another is aligning the components. Commonly available laser systems can produce 1 fs (10^-14 s) pulses. a) How far does light travel in 1 fs? b) If the energy per pulse is 100 mJ, what's the power per pulse (in Watts)? c) Calculate the (minimum) spread of frequencies required to produce a 1 fs pulse. d) If the center wavelength is 1 μm, what is the range of wavelengths contained in a single pulse? e) Common varieties of optical glass have a dispersion Δn/Δλ = 0.025/micron. 1) If the index of refraction is 1.51 for λ = 1 μm, what is the value of 'n' for the upper and lower wavelength? 2) The focal length of a lens is inversely proportional to the index of refraction: 1/f ~ (n-1). What is the ratio of the focal lengths for the two extreme wavelengths? 3) How much longitudinal chromatic aberration (the difference in focal length between two colors) is there for a 100 mm focal length lens? How does this compare with (a)? What does this tell you?
Transcribed Image Text:Pulsed lasers have many applications, but are very complicated to construct. One problem is chromatic aberration, another is aligning the components. Commonly available laser systems can produce 1 fs (10^-14 s) pulses. a) How far does light travel in 1 fs? b) If the energy per pulse is 100 mJ, what's the power per pulse (in Watts)? c) Calculate the (minimum) spread of frequencies required to produce a 1 fs pulse. d) If the center wavelength is 1 μm, what is the range of wavelengths contained in a single pulse? e) Common varieties of optical glass have a dispersion Δn/Δλ = 0.025/micron. 1) If the index of refraction is 1.51 for λ = 1 μm, what is the value of 'n' for the upper and lower wavelength? 2) The focal length of a lens is inversely proportional to the index of refraction: 1/f ~ (n-1). What is the ratio of the focal lengths for the two extreme wavelengths? 3) How much longitudinal chromatic aberration (the difference in focal length between two colors) is there for a 100 mm focal length lens? How does this compare with (a)? What does this tell you?
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