Sentence examples for using the reciprocity theorem from inspiring English sources

Fig. 16 An example of a computation using the reciprocity theorem.

An example of a reciprocity calculation comparing an ordinary forward simulation from the source to receiver and a simulation using the reciprocity theorem with exchanged source and receiver is shown in Fig. 16.

We used the reciprocity theorem (e.g., Aki and Richards 1980) for our GF calculations in a complex 3D velocity structure model.

The radiation of surface waves from a normal and a tangential line load, recently determined by the use of the reciprocity theorem, is employed to obtain the field scattered by the cavity from the superposition of displacements due to the distributed surface tractions.

The use of the reciprocity theorem is very effective to obtain a large number of synthetic seismograms for a small number of stations when there is a very large number of source grids, e.g., when calculating Green's function with reduced computational cost (e.g., Graves and Wald 2001; Eisner and Clayton 2001; Zhao et al. 2006; Hsieh et al. 2016; Petukhin et al. 2016).

So we can predict radiated sound pressure of the composite elastic structure excited by an external force by using the acoustical reciprocity theorem.

So the radiated sound pressure of an elastic multicavity structure excited by an external force can be predicted by using the acoustical reciprocity theorem.

Black and blue curves represent the traces calculated using the forward simulation and the reciprocity theorem, respectively.

In this paper, we use the elementary method and the reciprocity theorem of Dedekind sums to study the computational problem of one kind Dedekind sums, and give two interesting computational formulae related to Dedekind sums and the second-order linear recurrence polynomials.

In this paper, we use the elementary method and the reciprocity theorem of Dedekind sums to study the computational problem of one kind Dedekind sums, and obtain some interesting identities related to Dedekind sums and the second-order linear recurrence polynomials.

In the case of backscattering in a reciprocal medium, according to the reciprocity theorem, the 3D lexicographic scattering vector is obtained as.