Azimuthal mode number

Fig. 8.33 Calculated sensitivity in bulk index sensing for different radial mode numbers with the same azimuthal number m 700...

Fig. 17.1 Illustrations of whispering gallery modes (WGM) in a spherical optical resonator. The WGM modes are classified in terms of their radial quantum number p as well as by their angular momentum quantum number / and the azimuthal quantum number m that can have (21+ 1) values, meaning that the resonance frequency ( ,/ has a (2/ + 1) degeneracy...

In order to estimate the computer memory requirement it is important to know the dimensions of the matrices involved in the calculation. If fVrank(0 and Mrank(0 e the maximum expansion order and the number of azimuthal modes for the /th particle, then the dimension of the transition matrix T is dim(T ) = 2Af max(/) X 2fVi ax(0> where... 

Fig. 8.34 Surface sensing sensitivity of different radial order modes are simulated by using the perturbation method with the same azimuthal number m 700.The adsorbed polymer layer is assumed to have a refractive index of 1.46...

This formally simple procedure is very difficult to perform, however. Because of radiation from the bend, the azimuthal propagation constant v to be found is complex. Since the bend radius of the waveguide is typically larger than the wavelength, the real part of v can be large, too. Moreover, a number of modes of each slice with very different values of their effective indexes are to be considered simultaneously. It causes very serious... 

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