# Sultan

## Summary

Calculates Sultan's formula from a six-band 8-bit raster object and returns a three-band 8-bit raster object.

## Discussion

The Sultan's process takes a six-band 8-bit image and uses Sultan's formula to produce a three-band 8-bit image. The resulting image highlights rock formations called ophiolites on coastlines. This formula was designed based on the TM or ETM bands of a Landsat 5 or 7 scene. The equations applied to create each output band are as follows:

``Band 1 = (Band5 / Band6) x 100``
``Band 2 = (Band5 / Band1) x 100``
``Band 3 = (Band3 / Band4) x (Band5 / Band4) x 100``

For information about other multiband raster indexes, see the Band Arithmetic raster function.

The referenced raster dataset for the raster object is temporary. To make it permanent, you can call the raster object's save method.

## Syntax

`Sultan (raster, {band1_id}, {band3_id}, {band4_id}, {band5_id}, {band6_id})`
 Parameter Explanation Data Type raster The input raster. Raster band1_id The band index of Band 1.The band ID index uses one-based indexing.(The default value is 1) Integer band3_id The band index of Band 3.The band ID index uses one-based indexing.(The default value is 3) Integer band4_id The band index of Band 4.The band ID index uses one-based indexing.(The default value is 4) Integer band5_id The band index of Band 5.The band ID index uses one-based indexing.(The default value is 5) Integer band6_id The band index of Band 6.The band ID index uses one-based indexing.(The default value is 6) Integer
Return Value
 Data Type Explanation Raster The output raster with Sultan's formula applied.

## Code sample

Sultan example

Calculates Sultan's formula for a Landsat ETM image.

``````import arcpy

Sultan_raster = arcpy.sa.Sultan("LandsatETM.tif",1,3,4,5,6)``````

#### Related topics

##### Related topics
1. An overview of the Spatial Analyst functions