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The numerical aperture (NA) of a fiber characterizes the ability of a fiber to collect light (a high NA means it collects more light). The NA is defined as the sine of the maximum external angle of a ray entering the fiber that can be trapped by total internal 1/2 reflection. Show that NA = n, sine, =(n° – n²)"

The numerical aperture (NA) of a fiber characterizes the ability of a fiber to collect light (a high NA means it collects more light). The NA is defined as the sine of the maximum external angle of a ray entering the fiber that can be trapped by total internal 1/2 reflection. Show that NA = n, sine, =(n° – n²)"

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The numerical aperture (NA) of a fiber characterizes the ability of a fiber to collect light (a high NA means it collects more light). The NA is defined as the sine of the maximum external angle of a ray entering the fiber that can be trapped by total internal 1/2 reflection. Show that| NA= n, sin0, = (n – n;)" .
Transcribed Image Text:The numerical aperture (NA) of a fiber characterizes the ability of a fiber to collect light (a high NA means it collects more light). The NA is defined as the sine of the maximum external angle of a ray entering the fiber that can be trapped by total internal 1/2 reflection. Show that| NA= n, sin0, = (n – n;)" .
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