[Cultural] ID’ing the style or technique of Japanese textured silk

Years ago, I had a Japanese square silk scarf that was textured and thick, yet soft to touch, flexible, and it would stay secure in my hair. Unfortunately I lost it in the course of many apartment moves. The weave looked similar to pictures 2 and 3 on this page:

https://en.japantravel.com/photostory/japanese-silk/67523

I’m trying to identify the name of the style or technique for this type of silk, and I’d appreciate any suggestions for reputable retailers in Japan that sell it (even better if they sell to the US). Any advice on price points for this type of material would also be helpful knowledge.

Thank you so much!