Optical Fiber Communications 4th Edition by Gerd Keiser

Edition 4ISBN: 978-0073380711

Optical Fiber Communications 4th Edition by Gerd Keiser

Edition 4ISBN: 978-0073380711

Exercise 27

A plane reflection grating can be used as a wavelength-division multiplexer when mounted as shown in Fig. 10.42. The angular properties of this grating are given by the grating equation $A plane reflection grating can be used as a wavelength-division multiplexer when mounted as shown in Fig. 10.42. The angular properties of this grating are given by the grating equation where is the grating period, k is the interference order, n is the refractive index of the medium between the lens and the grating, and and are the angles of the incident and reflected beams, respectively, measured normal to the grating. ( a ) Using the grating equation, show that the angular dispersion is given by ( b ) If the fractional beam spread S is given by where m is the number of wavelength channels, find the upper limit on for beam spreading of less than 1 percent given that = 26 nm, = 1350 nm, and m = 3 Fig. 10.42 Wavelength multiplexing with a reflection grating$
where is the grating period, k is the interference order, n is the refractive index of the medium between the lens and the grating, and and are the angles of the incident and reflected beams, respectively, measured normal to the grating.
( a ) Using the grating equation, show that the angular dispersion is given by $A plane reflection grating can be used as a wavelength-division multiplexer when mounted as shown in Fig. 10.42. The angular properties of this grating are given by the grating equation where is the grating period, k is the interference order, n is the refractive index of the medium between the lens and the grating, and and are the angles of the incident and reflected beams, respectively, measured normal to the grating. ( a ) Using the grating equation, show that the angular dispersion is given by ( b ) If the fractional beam spread S is given by where m is the number of wavelength channels, find the upper limit on for beam spreading of less than 1 percent given that = 26 nm, = 1350 nm, and m = 3 Fig. 10.42 Wavelength multiplexing with a reflection grating$
( b ) If the fractional beam spread S is given by $A plane reflection grating can be used as a wavelength-division multiplexer when mounted as shown in Fig. 10.42. The angular properties of this grating are given by the grating equation where is the grating period, k is the interference order, n is the refractive index of the medium between the lens and the grating, and and are the angles of the incident and reflected beams, respectively, measured normal to the grating. ( a ) Using the grating equation, show that the angular dispersion is given by ( b ) If the fractional beam spread S is given by where m is the number of wavelength channels, find the upper limit on for beam spreading of less than 1 percent given that = 26 nm, = 1350 nm, and m = 3 Fig. 10.42 Wavelength multiplexing with a reflection grating$
where m is the number of wavelength channels, find the upper limit on for beam spreading of less than 1 percent given that = 26 nm, = 1350 nm, and
m = 3 $A plane reflection grating can be used as a wavelength-division multiplexer when mounted as shown in Fig. 10.42. The angular properties of this grating are given by the grating equation where is the grating period, k is the interference order, n is the refractive index of the medium between the lens and the grating, and and are the angles of the incident and reflected beams, respectively, measured normal to the grating. ( a ) Using the grating equation, show that the angular dispersion is given by ( b ) If the fractional beam spread S is given by where m is the number of wavelength channels, find the upper limit on for beam spreading of less than 1 percent given that = 26 nm, = 1350 nm, and m = 3 Fig. 10.42 Wavelength multiplexing with a reflection grating$
Fig. 10.42 Wavelength multiplexing with a reflection grating

Explanation

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