On the Measurement of Virtual Height

Cover On the Measurement of Virtual Height
On the Measurement of Virtual Height
Irvin W Kay
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The error committed in using (2. 7) with large but finite w would sean to depend on co w as well as on the ratio of w to the effective width of the reflecting medium.
In the case of a narrow incident pulse which produces a narrow reflected pulse the measurement of virtual height obtained by the standard technique (consisting of a direct physical observation of the delay time) will give the same result as the approximation based on (2. 7) where the actual finite value of w is used instead of w -
...«»oo. Thus, the approximation suggested by (2. 7) will always be at least as accurate as the standard method for measuring virtual height and should be more accurate when a broad incident pulse is used instead of a narrow one.
- 5 - 3. Example of a dispersed reflected pulse It is easy to find reflection coefficients in connection with a given incident pulse of any desired width such that an inspection of the corresponding reflected wave packet will reveal no clue to the virtual height as defined by (1«1)* If the incident pulse is sufficiently broad, however, the computation suggested by (2«7) will always give the virtueOL height even in this case* Consider for example, a reflection coefficient (3.


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