解:由:K=tanβ则:β钢=tan-1 1.0=45󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮
由折射定律:sinα/sinβ= CL/ CS 󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮
则入射角α=sin-1(sinβ钢×CL/CS钢)= sin-1 (sin45°×2730/3230)=36.7°󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮
则合金中折射角:β合金=sin-1(sinα×CS合金/CL )= sin-1 (sin36.7°×4000/2730)=61.1󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮
则:K合金= tanβ合金= tan61.1°=1.81󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮
答探测合金钢时实际K值为1.81󠄐󠄹󠅀󠄪󠄣󠄞󠄡󠄤󠄥󠄞󠄨󠄠󠄞󠄡󠄦󠄡󠄬󠅒󠅢󠄟󠄮󠄐󠅅󠄹󠄴󠄪󠄾󠅟󠅤󠄐󠄼󠅟󠅗󠅙󠅞󠄬󠅒󠅢󠄟󠄮󠇘󠆭󠆘󠇙󠆝󠅵󠇗󠆭󠆁󠄐󠇗󠅹󠅸󠇖󠆍󠅳󠇖󠅹󠅰󠇖󠆌󠅹󠄬󠅒󠅢󠄟󠄮