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There is a phononic band gap within a range of normalized frequencies.
For radians, normalized frequencies are in the range , equivalent to half a cycle per sample.
In step-index guides, single-mode operation occurs when the normalized frequency, V, is less or equal than 2.405.
The number of bound modes, the mode volume, is related to the normalized frequency and thus to the NA.
Normalized frequency can refer to:
Normalized frequency (digital signal processing)
This can be shown to be equivalent to averaging the time or normalized frequency samples in blocks of n samples prior to processing.
The normalized frequency V for this fiber should be less than the first zero of the Bessel function J (approximately 2.405).
In digital signal processing, the angular frequency may be normalized by the sampling rate, yielding the normalized frequency.
For a single-mode optical fiber, the cutoff wavelength is the wavelength at which the normalized frequency is approximately equal to 2.405.
The amplitude of both of these electric fields will be equal, and the ratio of their amplitudes is , where is the reflection coefficient, and is the normalized frequency.
A first-order filter's response rolls off at 6 dB per octave ( 20 dB per decade) (all first-order lowpass filters have the same normalized frequency response).
Alternatively, if the actual frequency is written with units of radians per second (angular frequency), the normalized frequencies have units of radians per sample, and the periodicity of the distribution is 2π.
In digital signal processing, the normalized frequency of a periodic signal is its frequency expressed in units of cycles (or radians) per sample, rather than in the usual SI units of hertz (cycles per second).
The monopolar resonance creates a negative bulk modulus above the normalized frequency at about 0.035 while the dipolar resonance creates a negative density above the normalized frequency at about 0.04.
The mode volume M is approximately given by and , respectively for step-index and power-law index profile fibers, where g is the profile parameter, and V is the normalized frequency, which must be greater than 5 for this approximation to be valid.