```
Stupakov, G., and /SLAC.
```*Impedance Scaling for Small-angle Tapers and Collimators*. United States: N. p., 2010.
Web. doi:10.2172/972231.

```
Stupakov, G., & /SLAC.
```*Impedance Scaling for Small-angle Tapers and Collimators*. United States. doi:10.2172/972231.

```
Stupakov, G., and /SLAC. 2010.
"Impedance Scaling for Small-angle Tapers and Collimators". United States.
doi:10.2172/972231. https://www.osti.gov/servlets/purl/972231.
```

```
@article{osti_972231,
```

title = {Impedance Scaling for Small-angle Tapers and Collimators},

author = {Stupakov, G. and /SLAC},

abstractNote = {In this note I will prove that the impedance calculated for a small-angle collimator or taper, of arbitrary 3D profile, has a scaling property that can greatly simplify numerical calculations. This proof is based on the parabolic equation approach to solving Maxwell's equation developed in Refs. [1, 2]. We start from the parabolic equation formulated in [3]. As discussed in [1], in general case this equation is valid for frequencies {omega} >> c/a where a is a characteristic dimension of the obstacle. However, for small-angle tapers and collimators, the region of validity of this equation extends toward smaller frequencies and includes {omega} {approx} c/a.},

doi = {10.2172/972231},

journal = {},

number = ,

volume = ,

place = {United States},

year = 2010,

month = 2

}